## Keno Computations, Formulas and Odds

###### 13 Mar 06.

Formulas, Computations and Odds

Keno can be played in an almost endless variety of ways. Most commonly, a series of 80 numbers are available to choose from and the operator will periodically use a random selection method to pick 20 of them. The bettor determines what he is going to play by indicating the quantity of numbers he is going to choose via a playslip and submits it to the operator with his choices and bet. Generally, the bettor chooses a game of from 1 to 20 numbers (commonly referred to as "spots") and plays that particular game. Each game is separate, but is tied to the same 20 out of 80 numbers.

Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.

To put this number in perspective, most casinos and states refresh a Keno game every five minutes. Were one to do this, and if a game ran 24 hours a day, one could pick out 20 numbers per game and not duplicate a sequence for approximately 33 trillion years.

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A less common variation is the "Catch-22" table, used by the Michigan Lottery's Daily Drawing game and some video Keno machines, where 22 numbers are selected from an 80 number board.

Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.

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Another less common variation is the "French" table, used by some eastern Canadian and overseas games, where 20 numbers are selected from a 70 number board.

Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,658,000.

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A variation I discovered as a result of an inquiry is the Israel National Lottery's Pais 777 game, where 17 numbers are selected from a 70 number board. It is designed to take advantage of the "Lucky 7" syndrome (7-17-70) and is played as a 7-spot game only.

Formula for determining total possibilities - (70!/53!)/(17!) = 7,077,932,561,061,632.

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Another variation discovered as a result of perusing a lottery forum is the Morocco National Lottery's Le Keno game, wherein 10 numbers are drawn from a field of 50. 3-spot through 7-spot games are offered. Payouts appear to be pari-mutuel in most instances.

Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.

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Yet another variation, this one discovered as a result of an odds inquiry, is a game wherein 10 numbers are drawn from a field of 49. I have no idea where this game is played. The payouts for this game are unknown.

Formula for determining total possibilities - (49!/39!)/(10!) = 8,217,822,536.

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Pennsylvania had two Keno variations called Super 7 at one time. Both were 7 Spot games only. In no particular order, one drew 11 balls from a field of 80; the other drew 10 balls from a field of 74. No information for these games is currently posted on this page.

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Another variation I discovered as a result of an inquiry is India's Keno Plus game, where 21 balls are drawn from a field of 80. No information is currently posted on this or the payouts page, but I have the needed information when I get the time.

Formula for determining total possibilities - (80!/59!)/(21!) = 10,100,903,263,463,418,880.

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A recent discovery is (was) Colorado's Keno game, which drew 20 numbers from a field of 60. It was operated as a daily draw game from about 1991 to about 1997. 20 numbers were selected from a filed of 60, and the game was 10 Spot only, according to my source of information. I have the historic payout payout data and will add this game as time permits.

Formula for determining total possibilities - (60!/40!)/(20!) = 4,191,844,505,805,500.

* * * * * * * * * * * * * * *

Note: In games where the field from which the draw is to be conducted is an odd number no top/bottom games will be listed. Edge games will be computed from the most likely board layout.

Disclaimer: Use this page for gaming purposes at your own risk - this is not meant to suggest any combination of bets one should place. Although extreme care has been taken to assure complete accuracy in the contents below, it would be almost inevitable that some typoarthouseaphical errors could appear. Should you find any discrepancy between the formulas, the results and the odds, please let me know. I shall remain totally responsible for the contents.

For the purpose of mathematical calculations, 0! (factorial 0) has the real value 1, as does 1! (factorial 1). An anomaly.

Contributors: Andy Lavelle, John Nixon, CASH Only. Thank you.

Keno Computation Tables - 20 Numbers Drawn From an 80-Number Board

Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.

1 Spot

Formula for determining total possibilities - (80!/79!)/(1!) = 80.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/59!)/(1!)) 60 1.33
1 ((20!/19!)/(1!))x((60!/60!)/(0!)) 20 4.00

2 Spot

Formula for determining total possibilities - (80!/78!)/(2!) = 3,160.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/58!)/(2!)) 1,770 1.79
1 ((20!/19!)/(1!))x((60!/59!)/(1!)) 1,200 2.63
2 ((20!/18!)/(2!))x((60!/60!)/(0!)) 190 16.63

3 Spot

Formula for determining total possibilities - (80!/77!)/(3!) = 82,160.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/57!)/(3!)) 34,220 2.40
1 ((20!/19!)/(1!))x((60!/58!)/(2!)) 35,400 2.32
2 ((20!/18!)/(2!))x((60!/59!)/(1!)) 11,400 7.21
3 ((20!/17!)/(3!))x((60!/60!)/(0!)) 1,140 72.07

4 Spot

Formula for determining total possibilities - (80!/76!)/(4!) = 1,581,580.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/56!)/(4!)) 487,635 3.24
1 ((20!/19!)/(1!))x((60!/57!)/(3!)) 684,400 2.31
2 ((20!/18!)/(2!))x((60!/58!)/(2!)) 336,300 4.70
3 ((20!/17!)/(3!))x((60!/59!)/(1!)) 68,400 23.12
4 ((20!/16!)/(4!))x((60!/60!)/(0!)) 4,845 326.44

5 Spot

Formula for determining total possibilities - (80!/75!)/(5!) = 24,040,016.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/55!)/(5!)) 5,461,512 4.40
1 ((20!/19!)/(1!))x((60!/56!)/(4!)) 9,752,700 2.46
2 ((20!/18!)/(2!))x((60!/57!)/(3!)) 6,501,800 3.70
3 ((20!/17!)/(3!))x((60!/58!)/(2!)) 2,017,800 11.91
4 ((20!/16!)/(4!))x((60!/59!)/(1!)) 290,700 82.70
5 ((20!/15!)/(5!))x((60!/60!)/(0!)) 15,504 1,550.57

6 Spot

Formula for determining total possibilities - (80!/74!)/(6!) = 300,500,200.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/54!)/(6!)) 50,063,860 6.00
1 ((20!/19!)/(1!))x((60!/55!)/(5!)) 109,230,240 2.75
2 ((20!/18!)/(2!))x((60!/56!)/(4!)) 92,650,650 3.24
3 ((20!/17!)/(3!))x((60!/57!)/(3!)) 39,010,800 7.70
4 ((20!/16!)/(4!))x((60!/58!)/(2!)) 8,575,650 35.04
5 ((20!/15!)/(5!))x((60!/59!)/(1!)) 930,240 323.04
6 ((20!/14!)/(6!))x((60!/60!)/(0!)) 38,760 7,752.84

7 Spot

Formula for determining total possibilities - (80!/73!)/(7!) = 3,176,716,400.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/53!)/(7!)) 386,206,920 8.23
1 ((20!/19!)/(1!))x((60!/54!)/(6!)) 1,001,277,200 3.17
2 ((20!/18!)/(2!))x((60!/55!)/(5!)) 1,037,687,280 3.06
3 ((20!/17!)/(3!))x((60!/56!)/(4!)) 555,903,900 5.71
4 ((20!/16!)/(4!))x((60!/57!)/(3!)) 165,795,900 19.16
5 ((20!/15!)/(5!))x((60!/58!)/(2!)) 27,442,080 115.76
6 ((20!/14!)/(6!))x((60!/59!)/(1!)) 2,325,600 1,365.98
7 ((20!/13!)/(7!))x((60!/60!)/(0!)) 77,520 40,979.31

8 Spot

Formula for determining total possibilities - (80!/72!)/(8!) = 28,987,537,150.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/52!)/(8!)) 2,558,620,845 11.33
1 ((20!/19!)/(1!))x((60!/53!)/(7!)) 7,724,138,400 3.75
2 ((20!/18!)/(2!))x((60!/54!)/(6!)) 9,512,133,400 3.05
3 ((20!/17!)/(3!))x((60!/55!)/(5!)) 6,226,123,680 4.66
4 ((20!/16!)/(4!))x((60!/56!)/(4!)) 2,362,591,575 12.27
5 ((20!/15!)/(5!))x((60!/57!)/(3!)) 530,546,880 54.64
6 ((20!/14!)/(6!))x((60!/58!)/(2!)) 68,605,200 422.53
7 ((20!/13!)/(7!))x((60!/59!)/(1!)) 4,651,200 6,232.27
8 ((20!/12!)/(8!))x((60!/60!)/(0!)) 125,970 230,114.61

9 Spot

Formula for determining total possibilities - (80!/71!)/(9!) = 231,900,297,200.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/51!)/(9!)) 14,783,142,660 15.69
1 ((20!/19!)/(1!))x((60!/52!)/(8!)) 51,172,416,900 4.53
2 ((20!/18!)/(2!))x((60!/53!)/(7!)) 73,379,314,800 3.16
3 ((20!/17!)/(3!))x((60!/54!)/(6!)) 57,072,800,400 4.06
4 ((20!/16!)/(4!))x((60!/55!)/(5!)) 26,461,025,640 8.76
5 ((20!/15!)/(5!))x((60!/56!)/(4!)) 7,560,293,040 30.67
6 ((20!/14!)/(6!))x((60!/57!)/(3!)) 1,326,367,200 174.84
7 ((20!/13!)/(7!))x((60!/58!)/(2!)) 137,210,400 1,690.11
8 ((20!/12!)/(8!))x((60!/59!)/(1!)) 7,558,200 30,681.95
9 ((20!/11!)/(9!))x((60!/60!)/(0!)) 167,960 1,380,687.65

10 Spot

Formula for determining total possibilities - (80!/70!)/(10!) = 1,646,492,110,120.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/50!)/(10!)) 75,394,027,566 21.84
1 ((20!/19!)/(1!))x((60!/51!)/(9!)) 295,662,853,200 5.57
2 ((20!/18!)/(2!))x((60!/52!)/(8!)) 486,137,960,550 3.39
3 ((20!/17!)/(3!))x((60!/53!)/(7!)) 440,275,888,800 3.74
4 ((20!/16!)/(4!))x((60!/54!)/(6!)) 242,559,401,700 6.79
5 ((20!/15!)/(5!))x((60!/55!)/(5!)) 84,675,282,048 19.44
6 ((20!/14!)/(6!))x((60!/56!)/(4!)) 18,900,732,600 87.11
7 ((20!/13!)/(7!))x((60!/57!)/(3!)) 2,652,734,400 620.68
8 ((20!/12!)/(8!))x((60!/58!)/(2!)) 222,966,900 7,384.47
9 ((20!/11!)/(9!))x((60!/59!)/(1!)) 10,077,600 163,381.37
10 ((20!/10!)/(10!))x((60!/60!)/(0!)) 184,756 8,911,711.18

11 Spot

Formula for determining total possibilities - (80!/69!)/(11!) = 10,477,677,064,400.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/49!)/(11!)) 342,700,125,300 30.57
1 ((20!/19!)/(1!))x((60!/50!)/(10!)) 1,507,880,551,320 6.95
2 ((20!/18!)/(2!))x((60!/51!)/(9!)) 2,808,797,105,400 3.73
3 ((20!/17!)/(3!))x((60!/52!)/(8!)) 2,916,827,763,300 3.59
4 ((20!/16!)/(4!))x((60!/53!)/(7!)) 1,871,172,527,400 5.60
5 ((20!/15!)/(5!))x((60!/54!)/(6!)) 776,190,085,440 13.50
6 ((20!/14!)/(6!))x((60!/55!)/(5!)) 211,688,205,120 49.50
7 ((20!/13!)/(7!))x((60!/56!)/(4!)) 37,801,465,200 277.18
8 ((20!/12!)/(8!))x((60!/57!)/(3!)) 4,310,693,400 2,430.62
9 ((20!/11!)/(9!))x((60!/58!)/(2!)) 297,289,200 35,244.06
10 ((20!/10!)/(10!))x((60!/59!)/(1!)) 11,085,360 945,181.49
11 ((20!/9!)/(11!))x((60!/60!)/(0!)) 167,960 62,381,978.24

12 Spot

Formula for determining total possibilities - (80!/68!)/(12!) = 60,246,643,120,300.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/48!)/(12!)) 1,399,358,844,975 43.05
1 ((20!/19!)/(1!))x((60!/49!)/(11!)) 6,854,002,506,000 8.79
2 ((20!/18!)/(2!))x((60!/50!)/(10!)) 14,324,865,237,540 4.21
3 ((20!/17!)/(3!))x((60!/51!)/(9!)) 16,852,782,632,400 3.57
4 ((20!/16!)/(4!))x((60!/52!)/(8!)) 12,396,517,994,025 4.86
5 ((20!/15!)/(5!))x((60!/53!)/(7!)) 5,987,752,087,680 10.06
6 ((20!/14!)/(6!))x((60!/54!)/(6!)) 1,940,475,213,600 31.05
7 ((20!/13!)/(7!))x((60!/55!)/(5!)) 423,376,410,240 142.30
8 ((20!/12!)/(8!))x((60!/56!)/(4!)) 61,427,380,950 980.78
9 ((20!/11!)/(9!))x((60!/57!)/(3!)) 5,747,591,200 10,482.07
10 ((20!/10!)/(10!))x((60!/58!)/(2!)) 327,018,120 184,230.29
11 ((20!/9!)/(11!))x((60!/59!)/(1!)) 10,077,600 5,978,272.91
12 ((20!/8!)/(12!))x((60!/60!)/(0!)) 125,970 478,261,833.14

13 Spot

Formula for determining total possibilities - (80!/67!)/(13!) = 315,136,287,090,800.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/47!)/(13!)) 5,166,863,427,600 60.99
1 ((20!/19!)/(1!))x((60!/48!)/(12!)) 27,987,176,899,500 11.26
2 ((20!/18!)/(2!))x((60!/49!)/(11!)) 65,113,023,807,000 4.84
3 ((20!/17!)/(3!))x((60!/50!)/(10!)) 85,949,191,425,240 3.67
4 ((20!/16!)/(4!))x((60!/51!)/(9!)) 71,624,326,187,700 4.40
5 ((20!/15!)/(5!))x((60!/52!)/(8!)) 39,668,857,580,880 7.94
6 ((20!/14!)/(6!))x((60!/53!)/(7!)) 14,969,380,219,200 21.05
7 ((20!/13!)/(7!))x((60!/54!)/(6!)) 3,880,950,427,200 81.20
8 ((20!/12!)/(8!))x((60!/55!)/(5!)) 687,986,666,640 458.06
9 ((20!/11!)/(9!))x((60!/56!)/(4!)) 81,903,174,600 3,847.67
10 ((20!/10!)/(10!))x((60!/57!)/(3!)) 6,322,350,320 49,844.80
11 ((20!/9!)/(11!))x((60!/58!)/(2!)) 297,289,200 1,060,032.75
12 ((20!/8!)/(12!))x((60!/59!)/(1!)) 7,558,200 41,694,621.35
13 ((20!/7!)/(13!))x((60!/60!)/(0!)) 77,520 4,065,225,581.67

14 Spot

Formula for determining total possibilities - (80!/66!)/(14!) = 1,508,152,231,077,400.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/46!)/(14!)) 17,345,898,649,800 86.95
1 ((20!/19!)/(1!))x((60!/47!)/(13!)) 103,337,268,552,000 14.59
2 ((20!/18!)/(2!))x((60!/48!)/(12!)) 265,878,180,545,250 5.67
3 ((20!/17!)/(3!))x((60!/49!)/(11!)) 390,678,142,842,000 3.86
4 ((20!/16!)/(4!))x((60!/50!)/(10!)) 365,284,063,557,270 4.13
5 ((20!/15!)/(5!))x((60!/51!)/(9!)) 229,197,843,800,640 6.58
6 ((20!/14!)/(8!))x((60!/52!)/(8!)) 99,172,143,952,200 15.21
7 ((20!/13!)/(7!))x((60!/53!)/(7!)) 29,938,760,438,400 50.37
8 ((20!/12!)/(8!))x((60!/54!)/(6!)) 6,306,544,444,200 239.14
9 ((20!/11!)/(9!))x((60!/55!)/(5!)) 917,315,555,520 1,644.09
10 ((20!/10!)/(10!))x((60!/56!)/(4!)) 90,093,492,060 16,739.86
11 ((20!/9!)/(11!))x((60!/57!)/(3!)) 5,747,591,200 262,397.27
12 ((20!/8!)/(12!))x((60!/58!)/(2!)) 222,966,900 6,764,018.48
13 ((20!/7!)/(13!))x((60!/59!)/(1!)) 4,651,200 324,250,135.68
14 ((20!/6!)/(14!))x((60!/60!)/(0!)) 38,760 38,910,016,281.67

15 Spot

Formula for determining total possibilities - (80!/65!)/(15!) = 6,635,869,816,740,560.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/45!)/(15!)) 53,194,089,192,720 124.75
1 ((20!/19!)/(1!))x((60!/46!)/(14!)) 346,917,972,996,000 19.13
2 ((20!/18!)/(2!))x((60!/47!)/(13!)) 981,704,051,244,000 6.76
3 ((20!/17!)/(3!))x((60!/48!)/(12!)) 1,595,269,083,271,500 4.16
4 ((20!/16!)/(4!))x((60!/49!)/(11!)) 1,660,382,107,078,500 4.00
5 ((20!/15!)/(5!))x((60!/50!)/(10!)) 1,168,909,003,383,264 5.68
6 ((20!/14!)/(6!))x((60!/51!)/(9!)) 572,994,609,501,600 11.58
7 ((20!/13!)/(7!))x((60!/52!)/(8!)) 198,344,287,904,400 33.46
8 ((20!/12!)/(8!))x((60!/53!)/(7!)) 48,650,485,712,400 136.40
9 ((20!/11!)/(9!))x((60!/54!)/(6!)) 8,408,725,925,600 789.16
10 ((20!/10!)/(10!))x((60!/55!)/(5!)) 1,009,047,111,072 6,576.37
11 ((20!/9!)/(11!))x((60!/56!)/(4!)) 81,903,174,600 81,021.91
12 ((20!/8!)/(12!))x((60!/57!)/(3!)) 4,310,693,400 1,539,397.31
13 ((20!/7!)/(13!))x((60!/58!)/(2!)) 137,210,400 48,362,732.10
14 ((20!/6!)/(14!))x((60!/59!)/(1!)) 2,325,600 2,853,401,193.99
15 ((20!/5!)/(15!))x((60!/60!)/(0!)) 15,504 428,010,179,098.33

16 Spot

Formula for determining total possibilities - (80!/64!)/(16!) = 26,958,221,130,508,525.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/44!)/(16!)) 149,608,375,854,525 180.19
1 ((20!/19!)/(1!))x((60!/45!)/(15!)) 1,063,881,783,854,400 25.34
2 ((20!/18!)/(2!))x((60!/46!)/(14!)) 3,295,720,743,462,000 8.18
3 ((20!/17!)/(3!))x((60!/47!)/(13!)) 5,890,224,307,464,000 4.58
4 ((20!/16!)/(4!))x((60!/48!)/(12!)) 6,779,893,603,903,875 3.98
5 ((20!/15!)/(5!))x((60!/49!)/(11!)) 5,313,222,742,651,200 5.07
6 ((20!/14!)/(6!))x((60!/50!)/(10!)) 2,922,272,408,458,160 9.23
7 ((20!/13!)/(7!))x((60!/51!)/(9!)) 1,145,989,219,003,200 23.52
8 ((20!/12!)/(8!))x((60!/52!)/(8!)) 322,309,467,844,650 83.64
9 ((20!/11!)/(9!))x((60!/53!)/(7!)) 64,867,314,283,200 415.59
10 ((20!/10!)/(10!))x((60!/54!)/(6!)) 9,249,598,518,160 2,914.53
11 ((20!/9!)/(11!))x((60!/55!)/(5!)) 917,315,555,520 29,388.17
12 ((20!/8!)/(12!))x((60!/56!)/(4!)) 61,427,380,950 438,863.27
13 ((20!/7!)/(13!))x((60!/57!)/(3!)) 2,652,734,400 10,162,427.54
14 ((20!/6!)/(14!))x((60!/58!)/(2!)) 68,605,200 392,947,198.32
15 ((20!/5!)/(15!))x((60!/59!)/(1!)) 930,240 28,979,855,876.45
16 ((20!/4!)/(16!))x((60!/60!)/(0!)) 4,845 5,564,132,328,278.33

17 Spot

Formula for determining total possibilities - (80!/63!/(17!) = 101,489,773,667,796,800.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/43!)/(17!)) 387,221,678,682,300 262.10
1 ((20!/19!)/(1!))x((60!/44!)/(16!)) 2,992,167,517,090,500 33.92
2 ((20!/18!)/(2!))x((60!/45!)/(15!)) 10,106,876,946,616,800 10.04
3 ((20!/17!)/(3!))x((60!/46!)/(14!)) 19,774,324,460,772,000 5.13
4 ((20!/16!)/(4!))x((60!/47!)/(13!)) 25,033,453,306,722,000 4.05
5 ((20!/15!)/(5!))x((60!/48!)/(12!)) 21,695,659,532,492,400 4.68
6 ((20!/14!)/(6!))x((60!/49!)/(11!)) 13,283,056,856,628,000 7.64
7 ((20!/13!)/(7!))x((60!/50!)/(10!)) 5,844,545,016,916,320 17.36
8 ((20!/12!)/(8!))x((60!/51!)/(9!)) 1,862,232,480,880,200 54.50
9 ((20!/11!)/(9!))x((60!/52!)/(8!)) 429,745,957,126,200 236.16
10 ((20!/10!)/(10!))x((60!/53!)/(7!)) 71,354,045,711,520 1,422.34
11 ((20!/9!)/(11!))x((60!/54!)/(6!)) 8,408,725,925,600 12,069.58
12 ((20!/8!)/(12!))x((60!/55!)/(5!)) 687,986,666,640 147,517.06
13 ((20!/7!)/(13!))x((60!/56!)/(4!)) 37,801,465,200 2,684,810.58
14 ((20!/6!)/(14!))x((60!/57!)/(3!)) 1,326,367,200 76,517,101.50
15 ((20!/5!)/(15!))x((60!/58!)/(2!)) 27,442,080 3,698,326,572.47
16 ((20!/4!)/(16!))x((60!/59!)/(1!)) 290,700 349,122,028,440.99
17 ((20!/3!)/(17!))x((60!/60!)/(0!)) 1,140 89,026,117,252,453.33

18 Spot

Formula for determining total possibilities - (80!/62!)/(18!) = 355,214,207,837,288,800.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/42!)/(18!)) 925,029,565,741,050 384.00
1 ((20!/19!)/(1!))x((60!/43!)/(17!)) 7,744,433,573,646,000 45.87
2 ((20!/18!)/(2!))x((60!/44!)/(16!)) 28,425,591,412,359,750 12.50
3 ((20!/17!)/(3!))x((60!/45!)/(15!)) 60,641,261,679,700,800 5.86
4 ((20!/16!)/(4!))x((60!/46!)/(14!)) 84,040,878,958,281,000 4.23
5 ((20!/15!)/(5!))x((60!/47!)/(13!)) 80,107,050,581,510,400 4.43
6 ((20!/14!)/(6!))x((60!/48!)/(12!)) 54,239,148,831,231,000 6.55
7 ((20!/13!)/(7!))x((60!/49!)/(11!)) 26,566,113,713,256,000 13.37
8 ((20!/12!)/(8!))x((60!/50!)/(10!)) 9,497,385,652,489,020 37.40
9 ((20!/11!)/(9!))x((60!/51!)/(9!)) 2,482,976,641,173,600 143.06
10 ((20!/10!)/(10!))x((60!/52!)/(8!)) 472,720,552,838,820 751.43
11 ((20!/9!)/(11!))x((60!/53!)/(7!)) 64,867,314,283,200 5,476.01
12 ((20!/8!)/(12!))x((60!/54!)/(6!)) 6,306,544,444,200 56,324.70
13 ((20!/7!)/(13!))x((60!/55!)/(5!)) 423,376,410,240 839,003.31
14 ((20!/6!)/(14!))x((60!/56!)/(4!)) 18,900,732,600 18,793,674.05
15 ((20!/5!)/(15!))x((60!/57!)/(3!)) 530,546,880 669,524,638.12
16 ((20!/4!)/(16!))x((60!/58!)/(2!)) 8,575,650 41,421,257,611.64
17 ((20!/3!)/(17!))x((60!/59!)/(1!)) 68,400 5,193,190,173,059.79
18 ((20!/2!)/(18!))x((60!/60!)/(0!)) 190 1,869,548,462,301,520.00

19 Spot

Formula for determining total possibilities - (80!/61!)/(19!) = 1,159,120,046,626,942,400.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/41!)/(19!)) 2,044,802,197,953,900 566.86
1 ((20!/19!)/(1!))x((60!/42!)/(18!)) 18,500,591,314,821,000 62.65
2 ((20!/18!)/(2!))x((60!/43!)/(17!)) 73,572,118,949,637,000 15.75
3 ((20!/17!)/(3!))x((60!/44!)/(16!)) 170,553,548,474,158,500 6.80
4 ((20!/16!)/(4!))x((60!/45!)/(15!)) 257,725,362,138,728,400 4.50
5 ((20!/15!)/(5!))x((60!/46!)/(14!)) 268,930,812,666,499,200 4.31
6 ((20!/14!)/(6!))x((60!/47!)/(13!)) 200,267,626,453,776,000 5.79
7 ((20!/13!)/(7!))x((60!/48!)/(12!)) 108,478,297,662,462,000 10.69
8 ((20!/12!)/(8!))x((60!/49!)/(11!)) 43,169,934,784,041,000 26.85
9 ((20!/11!)/(9!))x((60!/50!)/(10!)) 12,663,180,869,985,360 91.53
10 ((20!/10!)/(10!))x((60!/51!)/(9!)) 2,731,274,305,290,560 424.39
11 ((20!/9!)/(11!))x((60!/52!)/(8!)) 429,745,957,126,200 2,697.22
12 ((20!/8!)/(12!))x((60!/53!)/(7!)) 48,650,485,712,400 23,825.46
13 ((20!/7!)/(13!))x((60!/54!)/(6!)) 3,880,950,427,200 298,669.12
14 ((20!/6!)/(14!))x((60!/55!)/(5!)) 211,688,205,120 5,475,600.52
15 ((20!/5!)/(15!))x((60!/56!)/(4!)) 7,560,293,040 153,316,814.64
16 ((20!/4!)/(16!))x((60!/57!)/(3!)) 165,795,900 6,991,246,747.52
17 ((20!/3!)/(17!))x((60!/58!)/(2!)) 2,017,800 574,447,441,087.79
18 ((20!/2!)/(18!))x((60!/59!)/(1!)) 11,400 101,677,197,072,538.81
19 ((20!/1!)/(19!))x((60!/60!)/(0!)) 20 57,956,002,331,347,120.00

20 Spot

Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((60!/40!)/(20!)) 4,191,844,505,805,495 843.38
1 ((20!/19!)/(1!))x((60!/41!)/(19!)) 40,896,043,959,078,000 86.45
2 ((20!/18!)/(2!))x((60!/42!)/(18!)) 175,755,617,490,799,500 20.11
3 ((20!/17!)/(3!))x((60!/43!)/(17!)) 441,432,713,697,822,000 8.01
4 ((20!/16!)/(4!))x((60!/44!)/(16!)) 724,852,581,015,173,625 4.88
5 ((20!/15!)/(5!))x((60!/45!)/(15!)) 824,721,158,843,930,880 4.29
6 ((20!/14!)/(6!))x((60!/46!)/(14!)) 672,327,031,666,248,000 5.26
7 ((20!/13!)/(7!))x((60!/47!)/(13!)) 400,535,252,907,552,000 8.83
8 ((20!/12!)/(8!))x((60!/48!)/(12!)) 176,277,233,701,500,750 20.06
9 ((20!/11!)/(9!))x((60!/49!)/(11!)) 57,559,913,045,388,000 61.42
10 ((20!/10!)/(10!))x((60!/50!)/(10!)) 13,929,498,956,983,896 253.80
11 ((20!/9!)/(11!))x((60!/51!)/(9!)) 2,482,976,641,173,600 1,432.82
12 ((20!/8!)/(12!))x((60!/52!)/(8!)) 322,309,467,844,650 10,968.70
13 ((20!/7!)/(13!))x((60!/53!)/(7!)) 29,938,760,438,400 118,084.92
14 ((20!/6!)/(14!))x((60!/54!)/(6!)) 1,940,475,213,600 1,821,881.63
15 ((20!/5!)/(15!))x((60!/55!)/(5!)) 84,675,282,048 41,751,453.99
16 ((20!/4!)/(16!))x((60!/56!)/(4!)) 2,362,591,575 1,496,372,110.87
17 ((20!/3!)/(17!))x((60!/57!)/(3!)) 39,010,800 90,624,035,964.71
18 ((20!/2!)/(18!))x((60!/58!)/(2!)) 336,300 10,512,388,171,906.55
19 ((20!/1!)/(19!))x((60!/59!)x(1!)) 1,200 2,946,096,785,176,811.77
20 ((20!/0!)/(20!))x((60!/60!)/(0!)) 1 3,535,316,142,212,174,320.00

Top/Bottom, Left/Right and Odd/Even

Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.

Some games will give the player the option of splitting the playslip in half, either horizontally or vertically, and pay according to the distribution of drawn numbers in any half.
Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.

Hits Formula Possibilities Odds - 1::
0 of 40 ((40!/40!)/(0!))x((40!/20!)/(20!)) 137,846,528,820 25,646,754.93
1 of 40 ((40!/39!)/(1!))x((40!/21!)/(19!)) 5,251,296,336,000 673,227.32
2 of 40 ((40!/38!)/(2!))x((40!/22!)/(18!)) 88,436,604,204,000 39,975.71
3 of 40 ((40!/37!)/(3!))x((40!/23!)/(17!)) 876,675,902,544,000 4,032.64
4 of 40 ((40!/36!)/(4!))x((40!/24!)/(16!)) 5,744,053,569,793,500 615.47
5 of 40 ((40!/35!)/(5!))x((40!/25!)/(15!)) 26,468,598,849,608,448 133.57
6 of 40 ((40!/34!)/(6!))x((40!/26!)/(14!)) 89,077,015,359,259,200 39.69
7 of 40 ((40!/33!)/(7!))x((40!/27!)/(13!)) 224,342,112,756,652,800 15.76
8 of 40 ((40!/32!)/(8!))x((40!/28!)/(12!)) 429,655,207,020,553,800 8.23
9 of 40 ((40!/31!)/(9!))x((40!/29!)/(11!)) 632,136,396,535,987,200 5.59
10 of 40 ((40!/30!)/(10!))x((40!/30!)/(10!)) 718,528,370,729,238,784 4.92
11 of 40 ((40!/29!)/(11!))x((40!/31!)/(9!)) 632,136,396,535,987,200 5.59
12 of 40 ((40!/28!)/(12!))x((40!/32!)/(8!)) 429,655,207,020,553,800 8.23
13 of 40 ((40!/27!)/(13!))x((40!/33!)/(7!)) 224,342,112,756,652,800 15.76
14 of 40 ((40!/26!)/(14!))x((40!/34!)/(6!)) 89,077,015,359,259,200 39.69
15 of 40 ((40!/25!)/(15!))x((40!/35!)/(5!)) 26,468,598,849,608,448 133.57
16 of 40 ((40!/24!)/(16!))x((40!/36!)/(4!)) 5,744,053,569,793,500 615.47
17 of 40 ((40!/23!)/(17!))x((40!/37!)/(3!)) 876,675,902,544,000 4,032.64
18 of 40 ((40!/22!)/(18!))x((40!/38!)/(2!)) 88,436,604,204,000 39,975.71
19 of 40 ((40!/21!)/(19!))x((40!/39!)/(1!)) 5,251,296,336,000 673,227.32
20 of 40 ((40!/20!)/(20!))x((40!/40!)/(0!)) 137,846,528,820 25,646,754.93

Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 9 or 11 spots on top or bottom, left or right, and odd or even (or combinations like 8-12, 7-13, 6-14, 5-15, 4-16, 3-17, 2-18, 1-19 and 0-20), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved. The 10, however, is unique.

Top, Middle or Bottom

Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.

Some games will give the bettor the option of selecting which area of the board into which the majority of the 20 drawn numbers will fall or, as an alternative, allow the bettor to wager that 10 numbers will fall on either side of the board.

Hits Formula Possibilities Odds - 1::
<10 of 20 (Calculated) 1,408,393,885,741,467,768 2.51
10 of 20 ((40!/30!)/(10!))x((40!/30!)/(10!)) 718,528,370,729,238,784 4.92
>10 of 20 (Calculated) 1,408,393,885,741,467,768 2.51

Edge and Inside/Outside

The 80-number Keno board can be displayed with eight rows of ten numbers each or ten rows of eight numbers each. In either case the edge will consist of 32 numbers.

Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.

Hits Formula Possibilities Odds - 1::
0 of 32 ((32!/32!)/(0!))x((48!/28!)/(20!)) 16,735,675,449,896 211,244.26
1 of 32 ((32!/31!)/(1!))x((48!/29!)/(19!)) 369,339,132,687,360 9,572.01
2 of 32 ((32!/30!)/(2!))x((48!/30!)/(18!)) 3,625,679,152,547,584 975.08
3 of 32 ((32!/29!)/(3!))x((48!/31!)/(17!)) 21,052,330,563,179,520 167.93
4 of 32 ((32!/28!)/(4!))x((48!/32!)/(16!)) 81,084,366,934,746,120 43.60
5 of 32 ((32!/27!)/(5!))x((48!/33!)/(15!)) 220,156,341,737,977,344 16.06
6 of 32 ((32!/26!)/(6!))x((48!/34!)/(14!)) 437,075,090,215,102,080 8.09
7 of 32 ((32!/25!)/(7!))x((48!/35!)/(13!)) 649,368,705,462,437,376 5.44
8 of 32 ((32!/24!)/(8!))x((48!/36!)/(12!)) 732,794,546,094,764,400 4.82
9 of 32 ((32!/23!)/(9!))x((48!/37!)/(11!)) 633,768,256,081,958,400 5.58
10 of 32 ((32!/22!)/(10!))x((48!/38!)/(10!)) 421,956,233,654,567,040 8.38
11 of 32 ((32!/21!)/(11!))x((48!/39!)/(9!)) 216,387,812,130,547,200 16.34
12 of 32 ((32!/20!)/(12!))x((48!/40!)/(8!)) 85,202,701,026,402,960 41.19
13 of 32 ((32!/19!)/(13!))x((48!/41!)/(7!)) 25,576,795,805,299,200 138.22
14 of 32 ((32!/18!)/(14!))x((48!/42!)/(6!)) 5,785,227,622,627,200 611.09
15 of 32 ((32!/17!)/(15!))x((48!/43!)/(5!)) 968,689,276,346,880 3,649.59
16 of 32 ((32!/16!)/(16!))x((48!/44!)/(4!)) 116,958,222,286,200 30,227.17
17 of 32 ((32!/15!)/(17!))x((48!/45!)/(3!)) 9,784,740,165,120 361,309.15
18 of 32 ((32!/14!)/(18!))x((48!/46!)/(2!)) 531,779,356,800 6,648,088.34
19 of 32 ((32!/13!)/(19!))x((48!/47!)/(1!)) 16,673,932,800 212,026,531.75
20 of 32 ((32!/12!)/(20!))x((48!/48!)/(0!)) 225,792,840 15,657,343,883.06

Keno Computation Tables - 22 Numbers Drawn From an 80-Number Board

Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,625,280.

1 Spot

Formula for determining total possibilities - (80!/79!)/(1!) = 80.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/57!)/(1!)) 58 1.38
1 ((22!/21!)/(1!))x((58!/58!)/(0!)) 22 3.64

2 Spot

Formula for determining total possibilities - (80!/78!)/(2!) = 3,160.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/56!)/(2!)) 1,653 1.91
1 ((22!/21!)/(1!))x((58!/57!)/(1!)) 1,276 2.48
2 ((22!/20!)/(2!))x((58!/58!)/(0!)) 231 13.68

3 Spot

Formula for determining total possibilities - (80!/77!)/(3!) = 82,160.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/55!)/(3!)) 30,856 2.66
1 ((22!/21!)/(1!))x((58!/56!)/(2!)) 36,366 2.26
2 ((22!/20!)/(2!))x((58!/57!)/(1!)) 13,398 6.13
3 ((22!/19!)/(3!))x((58!/58!)/(0!)) 1,540 53.35

4 Spot

Formula for determining total possibilities - (80!/76!)/(4!) = 1,581,580.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/54!)/(4!)) 424,270 3.73
1 ((22!/21!)/(1!))x((58!/55!)/(3!)) 678,832 2.33
2 ((22!/20!)/(2!))x((58!/56!)/(2!)) 381,843 4.14
3 ((22!/19!)/(3!))x((58!/57!)/(1!)) 89,320 17.71
4 ((22!/18!)/(4!))x((58!/58!)/(0!)) 7,315 216.21

5 Spot

Formula for determining total possibilities - (80!/75!)/(5!) = 24,040,016.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/53!)/(5!)) 4,582,116 5.25
1 ((22!/21!)/(1!))x((58!/54!)/(4!)) 9,333,940 2.58
2 ((22!/20!)/(2!))x((58!/55!)/(3!)) 7,127,736 3.37
3 ((22!/19!)/(3!))x((58!/56!)/(2!)) 2,545,620 9.44
4 ((22!/18!)/(4!))x((58!/57!)/(1!)) 424,270 56.66
5 ((22!/17!)/(5!))x((58!/58!)/(0!)) 26,334 912.89

6 Spot

Formula for determining total possibilities - (80!/74!)/(6!) = 300,500,200.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/52!)/(6!)) 40,475,358 7.42
1 ((22!/21!)/(1!))x((58!/53!)/(5!)) 100,806,552 2.98
2 ((22!/20!)/(2!))x((58!/54!)/(4!)) 98,006,370 3.07
3 ((22!/19!)/(3!))x((58!/55!)/(3!)) 47,518,240 6.32
4 ((22!/18!)/(4!))x((58!/56!)/(2!)) 12,091,695 24.85
5 ((22!/17!)/(5!))x((58!/57!)/(1!)) 1,527,372 196.74
6 ((22!/16!)/(6!))x((58!/58!)/(0!)) 74,613 4,027.45

7 Spot

Formula for determining total possibilities - (80!/73!)/(7!) = 3,176,716,400.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/51!)/(7!)) 300,674,088 10.57
1 ((22!/21!)/(1!))x((58!/52!)/(6!)) 890,457,876 3.57
2 ((22!/20!)/(2!))x((58!/53!)/(5!)) 1,058,468,796 3.00
3 ((22!/19!)/(3!))x((58!/54!)/(4!)) 653,375,800 4.86
4 ((22!/18!)/(4!))x((58!/55!)/(3!)) 225,711,640 14.07
5 ((22!/17!)/(5!))x((58!/56!)/(2!)) 43,530,102 72.98
6 ((22!/16!)/(6!))x((58!/57!)/(1!)) 4,327,554 734.07
7 ((22!/15!)/(7!))x((58!/58!)/(0!)) 170,544 18,626.96

8 Spot

Formula for determining total possibilities - (80!/72!)/(8!) = 28,987,537,150.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/50!)/(8!)) 1,916,797,311 10.57
1 ((22!/21!)/(1!))x((58!/51!)/(7!)) 6,614,829,936 3.57
2 ((22!/20!)/(2!))x((58!/52!)/(6!)) 9,349,807,698 3.10
3 ((22!/19!)/(3!))x((58!/53!)/(5!)) 7,056,458,640 4.11
4 ((22!/18!)/(4!))x((58!/54!)/(4!)) 3,103,535,050 9.34
5 ((22!/17!)/(5!))x((58!/55!)/(3!)) 812,561,904 35.67
6 ((22!/16!)/(6!))x((58!/56!)/(2!)) 123,335,289 235.03
7 ((22!/15!)/(7!))x((58!/57!)/(1!)) 9,891,552 2,930.53
8 ((22!/14!)/(8!))x((58!/58!)/(0!)) 319,770 90,651.21

9 Spot

Formula for determining total possibilities - (80!/71!)/(9!) = 231,900,297,200.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/49!)/(9!)) 10,648,873,950 21.78
1 ((22!/21!)/(1!))x((58!/50!)/(8!)) 42,169,540,842 5.50
2 ((22!/20!)/(2!))x((58!/51!)/(7!)) 69,455,714,328 3.34
3 ((22!/19!)/(3!))x((58!/52!)/(6!)) 62,332,051,320 3.72
4 ((22!/18!)/(4!))x((58!/53!)/(5!)) 33,518,178,540 6.92
5 ((22!/17!)/(5!))x((58!/54!)/(4!)) 11,172,726,180 20.76
6 ((22!/16!)/(6!))x((58!/55!)/(3!)) 2,302,258,728 100.73
7 ((22!/15!)/(7!))x((58!/56!)/(2!)) 281,909,232 822.61
8 ((22!/14!)/(8!))x((58!/57!)/(1!)) 18,546,660 12,503.62
9 ((22!/13!)/(9!))x((58!/58!)/(0!)) 497,420 466,206.22

10 Spot

Formula for determining total possibilities - (80!/70!)/(10!) = 1,646,492,110,120.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/48!)/(10!)) 52,179,482,355 31.55
1 ((22!/21!)/(1!))x((58!/49!)/(9!)) 234,275,226,900 7.03
2 ((22!/20!)/(2!))x((58!/50!)/(8!)) 442,780,178,841 3.72
3 ((22!/19!)/(3!))x((58!/51!)/(7!)) 463,068,095,520 3.56
4 ((22!/18!)/(4!))x((58!/52!)/(6!)) 296,077,243,770 5.56
5 ((22!/17!)/(5!))x((58!/53!)/(5!)) 120,665,442,744 13.65
6 ((22!/16!)/(6!))x((58!/54!)/(4!)) 31,656,057,510 52.01
7 ((22!/15!)/(7!))x((58!/55!)/(3!)) 5,262,305,664 312.88
8 ((22!/14!)/(8!))x((58!/56!)/(2!)) 528,579,810 3,114.94
9 ((22!/13!)/(9!))x((58!/57!)/(1!)) 28,850,360 57,070.07
10 ((22!/12!)/(10!))x((58!/58!)/(0!)) 646,646 2,546,203.19

11 Spot

Formula for determining total possibilities - (80!/69!)/(11!) = 10,477,677,064,400.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/47!)/(11!)) 227,692,286,640 46.02
1 ((22!/21!)/(1!))x((58!/48!)/(10!)) 1,147,948,611,810 9.13
2 ((22!/20!)/(2!))x((58!/49!)/(9!)) 2,459,889,882,450 4.26
3 ((22!/19!)/(3!))x((58!/50!)/(8!)) 2,951,867,858,940 3.55
4 ((22!/18!)/(4!))x((58!/51!)/(7!)) 2,199,430,953,720 4.76
5 ((22!/17!)/(5!))x((58!/52!)/(6!)) 1,065,878,077,572 9.83
6 ((22!/16!)/(6!))x((58!/53!)/(5!)) 341,885,421,108 30.65
7 ((22!/15!)/(7!))x((58!/54!)/(4!)) 72,356,702,880 144.81
8 ((22!/14!)/(8!))x((58!/55!)/(3!)) 9,866,823,120 1,061.91
9 ((22!/13!)/(9!))x((58!/56!)/(2!)) 822,235,260 12,742.92
10 ((22!/12!)/(10!))x((58!/57!)/(1!)) 37,505,468 279,363,99
11 ((22!/11!)/(11!))x((58!/58!)/(0!)) 705,432 14,852,851.96

12 Spot

Formula for determining total possibilities - (80!/68!)/(12!) = 60,246,643,120,300.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/46!)/(12!)) 891,794,789,340 67.56
1 ((22!/21!)/(1!))x((58!/47!)/(11!)) 5,009,230,306,080 12.03
2 ((22!/20!)/(2!))x((58!/48!)/(10!)) 12,053,460,424,005 5.00
3 ((22!/19!)/(3!))x((58!/49!)/(9!)) 16,399,265,883,000 3.67
4 ((22!/18!)/(4!))x((58!/50!)/(8!)) 14,021,372,329,965 4.30
5 ((22!/17!)/(5!))x((58!/51!)/(7!)) 7,917,951,433,392 7.61
6 ((22!/16!)/(6!))x((58!/52!)/(6!)) 3,019,987,886,454 19.95
7 ((22!/15!)/(7!))x((58!/53!)/(5!)) 781,452,391,104 77.10
8 ((22!/14!)/(8!))x((58!/54!)/(4!)) 135,668,817,900 444.07
9 ((22!/13!)/(9!))x((58!/55!)/(3!)) 15,348,391,520 3,925.27
10 ((22!/12!)/(10!))x((58!/56!)/(2!)) 1,068,905,838 56,392.91
11 ((22!/11!)/(11!))x((58!/57!)/(1!)) 40,915,056 1,472,481.01
12 ((22!/10!)/(12!))x((58!/58!)/(0!)) 646,646 93,167,889.57

13 Spot

Formula for determining total possibilities - (80!/67!)/(13!) = 315,136,287,090,800.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/45!)/(13!)) 3,155,581,562,280 99.87
1 ((22!/21!)/(1!))x((58!/46!)/(12!)) 19,619,485,365,480 16.06
2 ((22!/20!)/(2!))x((58!/47!)/(11!)) 52,596,918,213,840 5.99
3 ((22!/19!)/(3!))x((58!/48!)/(10!)) 80,356,402,826,700 3.92
4 ((22!/18!)/(4!))x((58!/49!)/(9!)) 77,896,512,944,250 4.05
5 ((22!/17!)/(5!))x((58!/50!)/(8!)) 50,476,940,387,874 6.24
6 ((22!/16!)/(6!))x((58!/51!)/(7!)) 22,434,195,727,944 14.05
7 ((22!/15!)/(7!))x((58!/52!)/(6!)) 6,902,829,454,752 45.65
8 ((22!/14!)/(8!))x((58!/53!)/(5!)) 1,465,223,233,320 215.08
9 ((22!/13!)/(9!))x((58!/54!)/(4!)) 211,040,383,400 1,493.25
10 ((22!/12!)/(10!))x((58!/55!)/(3!)) 19,952,908,976 15,794.00
11 ((22!/11!)/(11!))x((58!/56!)/(2!)) 1,166,079,096 270,252.93
12 ((22!/10!)/(12!))x((58!/57!)/(1!)) 37,505,468 8,402,409.14
13 ((22!/9!)/(13!))x((58!/58!)/(0!)) 497,420 633,541,649.09

14 Spot

Formula for determining total possibilities - (80!/66!)/(14!) = 1,508,152,231,077,400.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/44!)/(14!)) 10,142,940,735,900 148.69
1 ((22!/21!)/(1!))x((58!/45!)/(13!)) 69,422,794,370,160 21.72
2 ((22!/20!)/(2!))x((58!/46!)/(12!)) 206,004,596,337,540 7.32
3 ((22!/19!)/(3!))x((58!/47!)/(11!)) 350,646,121,425,600 4.30
4 ((22!/18!)/(4!))x((58!/48!)/(10!)) 381,692,913,426,825 3.95
5 ((22!/17!)/(5!))x((58!/49!)/(9!)) 280,427,446,599,300 5.38
6 ((22!/16!)/(8!))x((58!/50!)/(8!)) 143,017,997,765,643 10.55
7 ((22!/15!)/(7!))x((58!/51!)/(7!)) 51,278,161,663,872 29.41
8 ((22!/14!)/(8!))x((58!/52!)/(6!)) 12,942,805,227,660 116.52
9 ((22!/13!)/(9!))x((58!/53!)/(5!)) 2,279,236,140,720 661.69
10 ((22!/12!)/(10!))x((58!/54!)/(4!)) 274,352,498,420 5,497.13
11 ((22!/11!)/(11!))x((58!/55!)/(3!)) 21,766,809,792 69,286.78
12 ((22!/10!)/(12!))x((58!/56!)/(2!)) 1,068,905,838 1,410,930.86
13 ((22!/9!)/(13!))x((58!/57!)/(1!)) 28,850,360 52,274,988.29
14 ((22!/8!)/(14!))x((58!/58!)/(0!)) 319,770 4,716,365,609.90

15 Spot

Formula for determining total possibilities - (80!/65!)/(15!) = 6,635,869,816,740,560.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/43!)/(15!)) 29,752,626,158,640 223.03
1 ((22!/21!)/(1!))x((58!/44!)/(14!)) 223,144,696,189,800 29.74
2 ((22!/20!)/(2!))x((58!/45!)/(13!)) 728,939,340,886,680 9.10
3 ((22!/19!)/(3!))x((58!/46!)/(12!)) 1,373,363,975,583,600 4.83
4 ((22!/18!)/(4!))x((58!/47!)/(11!)) 1,665,569,076,771,600 3.98
5 ((22!/17!)/(5!))x((58!/48!)/(10!)) 1,374,094,488,336,570 4.83
6 ((22!/16!)/(6!))x((58!/49!)/(9!)) 794,544,432,031,350 8.35
7 ((22!/15!)/(7!))x((58!/50!)/(8!)) 326,898,280,607,184 20.30
8 ((22!/14!)/(8!))x((58!/51!)/(7!)) 96,146,553,119,760 69.02
9 ((22!/13!)/(9!))x((58!/52!)/(6!)) 20,133,252,576,360 329.60
10 ((22!/12!)/(10!))x((58!/53!)/(5!)) 2,963,006,982,936 2,239.57
11 ((22!/11!)/(11!))x((58!/54!)/(4!)) 299,293,634,640 22,171.77
12 ((22!/10!)/(12!))x((58!/55!)/(3!)) 19,952,908,976 332,576.76
13 ((22!/9!)/(13!))x((58!/56!)/(2!)) 822,235,260 8,070,524.51
14 ((22!/8!)/(14!))x((58!/57!)/(1!)) 18,546,660 357,793,253.16
15 ((22!/7!)/(15!))x((58!/58!)/(0!)) 170,544 38,910,016,281.67

16 Spot

Formula for determining total possibilities - (80!/64!)/(16!) = 26,958,221,130,508,525.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/42!)/(16!)) 79,960,182,801,345 337.15
1 ((22!/21!)/(1!))x((58!/43!)/(15!)) 654,557,775,490,080 41.19
2 ((22!/20!)/(2!))x((58!/44!)/(14!)) 2,343,019,309,992,900 11.51
3 ((22!/18!)/(3!))x((58!/45!)/(13!)) 4,859,595,605,911,200 5.55
4 ((22!/18!)/(4!))x((58!/46!)/(12!)) 6,523,478,884,022,100 4.13
5 ((22!/17!)/(5!))x((58!/47!)/(11!)) 5,996,048,676,377,760 4.50
6 ((22!/16!)/(6!))x((58!/48!)/(10!)) 3,893,267,716,953,615 6.92
7 ((22!/15!)/(7!))x((58!/49!)/(9!)) 1,816,101,558,928,800 14.84
8 ((22!/14!)/(8!))x((58!/50!)/(8!)) 612,934,276,138,470 43.98
9 ((22!/13!)/(9!))x((58!/51!)/(7!)) 149,561,304,852,960 180.25
10 ((22!/12!)/(10!))x((58!/52!)/(6!)) 26,173,228,349,268 1,029.99
11 ((22!/11!)/(11!))x((58!/53!)/(5!)) 3,232,371,254,112 8,340.08
12 ((22!/10!)/(12!))x((58!/54!)/(4!)) 274,352,498,420 98,261.26
13 ((22!/9!)/(13!))x((58!/55!)/(3!)) 15,348,391,520 1,756,419.95
14 ((22!/8!)/(14!))x((58!/56!)/(2!)) 528,579,810 51,001,231.26
15 ((22!/7!)/(15!))x((58!/57!)/(1!)) 9,891,552 2,725,378,295.59
16 ((22!/6!)/(16!))x((58!/58!)/(0!)) 74,613 361,307,294,044.05

17 Spot

Formula for determining total possibilities - (80!/63!/(17!) = 101,489,773,667,796,800.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/41!)/(17!)) 197,548,686,920,970 513.75
1 ((22!/21!)/(1!))x((58!/42!)/(16!)) 1,759,124,021,629,590 57.69
2 ((22!/20!)/(2!))x((58!/43!)/(15!)) 6,872,856,642,645,840 14.77
3 ((22!/19!)/(3!))x((58!/44!)/(14!)) 15,620,128,733,286,000 6.50
4 ((22!/18!)/(4!))x((58!/45!)/(13!)) 23,083,079,128,078,200 4.40
5 ((22!/17!)/(5!))x((58!/46!)/(12!)) 23,484,523,982,479,560 4.32
6 ((22!/16!)/(6!))x((58!/47!)/(11!)) 16,988,804,583,070,320 5.97
7 ((22!/15!)/(7!))x((58!/48!)/(10!)) 8,898,897,638,751,120 11.40
8 ((22!/14!)/(8!))x((58!/49!)/(9!)) 3,405,190,422,991,500 29.80
9 ((22!/13!)/(9!))x((58!/50!)/(8!)) 953,453,318,437,620 106.44
10 ((22!/12!)/(10!))x((58!/51!)/(7!)) 194,429,696,308,848 521.99
11 ((22!/11!)/(11!))x((58!/52!)/(6!)) 28,552,612,744,656 3,554.48
12 ((22!/10!)/(12!))x((58!/53!)/(5!)) 2,963,006,982,936 34,252.29
13 ((22!/9!)/(13!))x((58!/54!)/(4!)) 211,040,383,400 480,902.15
14 ((22!/8!)/(14!))x((58!/55!)/(3!)) 9,866,823,120 10,285,962.61
15 ((22!/7!)/(15!))x((58!/56!)/(2!)) 281,909,232 360,008,691.26
16 ((22!/6!)/(16!))x((58!/57!)/(1!)) 4,327,554 23,451,994,745.25
17 ((22!/5!)/(17!))x((58!/58!)/(0!)) 26,334 3,853,944,469,803.18

18 Spot

Formula for determining total possibilities - (80!/62!)/(18!) = 355,214,207,837,288,800.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/40!)/(18!)) 449,972,009,097,765 789.41
1 ((22!/21!)/(1!))x((58!/41!)/(17!)) 4,346,071,112,261,340 81.73
2 ((22!/20!)/(2!))x((58!/42!)/(16!)) 18,470,802,227,110,695 19.23
3 ((22!/19!)/(3!))x((58!/43!)/(15!)) 45,819,044,284,305,600 7.75
4 ((22!/18!)/(4!))x((58!/44!)/(14!)) 74,195,611,483,108,500 4.79
5 ((22!/17!)/(5!))x((58!/45!)/(13!)) 83,099,084,861,081,520 4.27
6 ((22!/16!)/(6!))x((58!/46!)/(12!)) 66,539,484,617,025,420 5.34
7 ((22!/15!)/(7!))x((58!/47!)/(11!)) 38,831,553,332,732,160 9.15
8 ((22!/14!)/(8!))x((58!/48!)/(10!)) 16,685,433,072,658,350 21.29
9 ((22!/13!)/(9!))x((58!/49!)/(9!)) 5,296,962,880,209,000 67.06
10 ((22!/12!)/(10!))x((58!/50!)/(8!)) 1,239,489,313,968,906 286.58
11 ((22!/11!)/(11!))x((58!/51!)/(7!)) 212,105,123,246,016 1,674.71
12 ((22!/10!)/(12!))x((58!/52!)/(6!)) 26,173,228,349,268 13,571.66
13 ((22!/9!)/(13!))x((58!/53!)/(5!)) 2,279,236,140,720 155,847.92
14 ((22!/8!)/(14!))x((58!/54!)/(4!)) 135,668,817,900 2,618,245.03
15 ((22!/7!)/(15!))x((58!/55!)/(3!)) 5,262,305,664 67,501,629.61
16 ((22!/6!)/(16!))x((58!/56!)/(2!)) 123,335,289 2,880,069,530.12
17 ((22!/5!)/(17!))x((58!/57!)/(1!)) 1,527,372 232,565,614,557.09
18 ((22!/4!)/(18!))x((58!/58!)/(0!)) 7,315 48,559,700,319,520.00

19 Spot

Formula for determining total possibilities - (80!/61!)/(19!) = 1,159,120,046,626,942,400.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/39!)/(19!)) 947,309,492,837,400 1,223.59
1 ((22!/21!)/(1!))x((58!/40!)/(18!)) 9,899,384,200,150,830 117.09
2 ((22!/20!)/(2!))x((58!/41!)/(17!)) 45,633,746,678,744,070 25.40
3 ((22!/19!)/(3!))x((58!/42!)/(16!)) 123,138,681,514,071,300 9.41
4 ((22!/18!)/(4!))x((58!/43!)/(15!)) 217,640,460,350,451,600 5.33
5 ((22!/17!)/(5!))x((58!/44!)/(14!)) 267,104,201,339,190,600 4.34
6 ((22!/16!)/(6!))x((58!/45!)/(13!)) 235,447,407,106,397,640 4.92
7 ((22!/15!)/(7!))x((58!/46!)/(12!)) 152,090,250,553,200,960 7.62
8 ((22!/14!)/(8!))x((58!/47!)/(11!)) 72,809,162,498,872,800 15.92
9 ((22!/13!)/(9!))x((58!/48!)/(10!)) 25,955,118,113,024,100 44.66
10 ((22!/12!)/(10!))x((58!/49!)/(9!)) 6,886,051,744,271,700 168.33
11 ((22!/11!)/(11!))x((58!/50!)/(8!)) 1,352,170,160,933,352 857.23
12 ((22!/10!)/(12!))x((58!/51!)/(7!)) 194,429,696,308,848 5,961.64
13 ((22!/9!)/(13!))x((58!/52!)/(6!)) 20,133,252,576,360 57,572.42
14 ((22!/8!)/(14!))x((58!/53!)/(5!)) 1,465,223,233,320 791,087.68
15 ((22!/7!)/(15!))x((58!/54!)/(4!)) 72,356,702,880 16,019,525.50
16 ((22!/6!)/(16!))x((58!/55!)/(3!)) 2,302,258,728 503,470,801.32
17 ((22!/5!)/(17!))x((58!/56!)/(2!)) 43,530,102 26,628,011,269.69
18 ((22!/4!)/(18!))x((58!/57!)/(1!)) 424,270 2,732,033,956,270.63
19 ((22!/3!)/(19!))x((58!/58!)/(0!)) 1,540 752,675,354,952,560.00

20 Spot

Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/38!)/(20!)) 1,847,253,511,032,930 1,913.82
1 ((22!/21!)/(1!))x((58!/39!)/(19!)) 20,840,808,842,422,800 169.63
2 ((22!/20!)/(2!))x((58!/40!)/(18!)) 103,943,534,101,583,715 34.01
3 ((22!/19!)/(3!))x((58!/41!)/(17!)) 304,224,977,858,293,800 11.62
4 ((22!/18!)/(4!))x((58!/42!)/(16!)) 584,908,737,191,838,675 6.04
5 ((22!/17!)/(5!))x((58!/43!)/(15!)) 783,505,657,261,625,760 4.51
6 ((22!/16!)/(6!))x((58!/44!)/(14!)) 756,795,237,127,706,700 4.67
7 ((22!/15!)/(7!))x((58!/45!)/(13!)) 538,165,501,957,480,320 6.57
8 ((22!/14!)/(8!))x((58!/46!)/(12!)) 285,169,219,787,251,800 12.40
9 ((22!/13!)/(9!))x((58!/47!)/(11!)) 113,258,697,220,468,800 31.21
10 ((22!/12!)/(10!))x((58!/48!)/(10!)) 33,741,653,546,931,330 104.78
11 ((22!/11!)/(11!))x((58!/49!)/(9!)) 7,512,056,448,296,400 470.62
12 ((22!/10!)/(12!))x((58!/50!)/(8!)) 1,239,489,313,968,906 2,852.24
13 ((22!/9!)/(13!))x((58!/51!)/(7!)) 149,561,304,852,960 23,637.91
14 ((22!/8!)/(14!))x((58!/52!)/(6!)) 12,942,805,227,660 273,149.14
15 ((22!/7!)/(15!))x((58!/53!)/(5!)) 781,452,391,104 4,524,032.66
16 ((22!/6!)/(16!))x((58!/54!)/(4!)) 31,656,057,510 111,678,977.75
17 ((22!/5!)/(17!))x((58!/55!)/(3!)) 812,561,904 4,350,826,841.39
18 ((22!/4!)/(18!))x((58!/56!)/(2!)) 12,091,695 292,375,563,741.24
19 ((22!/3!)/(19!))x((58!/57!)x(1!)) 89,320 39,580,341,941,470.80
20 ((22!/2!)/(20!))x((58!/58!)/(0!)) 231 15,304,398,884,035,386.67

21 Spot

Formula for determining total possibilities - (80!/59!)/(21!) = 10,100,903,263,463,355,200.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/37!)/(21!)) 3,342,649,210,440,540 3,021.83
1 ((22!/21!)/(1!))x((58!/38!)/(20!)) 40,639,577,242,724,460 248.55
2 ((22!/20!)/(2!))x((58!/39!)/(19!)) 218,828,492,845,439,400 46.16
3 ((22!/19!)/(3!))x((58!/40!)/(18!)) 692,956,894,010,558,100 14.58
4 ((22!/18!)/(4!))x((58!/41!)/(17!)) 1,445,068,644,826,895,550 6.99
5 ((22!/17!)/(5!))x((58!/42!)/(16!)) 2,105,671,453,890,619,230 4.80
6 ((22!/16!)/(6!))x((58!/43!)/(15!)) 2,219,932,695,574,606,320 4.55
7 ((22!/15!)/(7!))x((58!/44!)/(14!)) 1,729,817,684,863,329,600 5.84
8 ((22!/14!)/(8!))x((58!/45!)/(13!)) 1,009,060,316,170,275,600 10.01
9 ((22!/13!)/(9!))x((58!/46!)/(12!)) 443,596,564,113,502,800 22.77
10 ((22!/12!)/(10!))x((58!/47!)/(11!)) 147,236,306,386,609,440 68.60
11 ((22!/11!)/(11!))x((58!/48!)/(10!)) 36,809,076,596,652,360 274.41
12 ((22!/10!)/(12!))x((58!/49!)/(9!)) 6,886,051,744,271,700 1,466.86
13 ((22!/9!)/(13!))x((58!/50!)/(8!)) 953,453,318,437,620 10,594.02
14 ((22!/8!)/(14!))x((58!/51!)/(7!)) 96,146,553,119,760 105,097.36
15 ((22!/7!)/(15!))x((58!/52!)/(6!)) 6,902,829,454,752 1,463,298.97
16 ((22!/6!)/(16!))x((58!/53!)/(5!)) 341,885,421,108 29,544,703.11
17 ((22!/5!)/(17!))x((58!/54!)/(4!)) 11,172,726,180 904,067,915.09
18 ((22!/4!)/(18!))x((58!/55!)/(3!)) 225,711,640 44,751,361,797.13
19 ((22!/3!)/(19!))x((58!/56!)x(2!)) 2,545,620 3,967,954,079,345.45
20 ((22!/2!)/(20!))x((58!/57!)/(1!)) 13,398 753,911,275,075,634.81
21 ((22!/1!)/(21!))x((58!/58!)/(0!)) 22 459,131,966,521,061,600.00

22 Spot

Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.

Hits Formula Possibilities Odds - 1::
0 ((22!/22!)/(0!))x((58!/36!)/(22!)) 5,621,728,217,559,090 4,818.59
1 ((22!/21!)/(1!))x((58!/37!)/(21!)) 73,538,282,629,691,880 368.36
2 ((22!/20!)/(2!))x((58!/38!)/(20!)) 426,715,561,048,606,830 63.48
3 ((22!/19!)/(3!))x((58!/39!)/(19!)) 1,458,856,618,969,596,000 18.57
4 ((22!/18!)/(4!))x((58!/40!)/(18!)) 3,291,545,246,550,150,975 8.23
5 ((22!/17!)/(5!))x((58!/41!)/(17!)) 5,202,247,121,376,823,980 5.21
6 ((22!/16!)/(6!))x((58!/42!)/(16!)) 5,966,069,119,356,754,485 4.54
7 ((22!/15!)/(7!))x((58!/43!)/(15!)) 5,074,131,875,599,100,160 5.34
8 ((22!/14!)/(8!))x((58!/44!)/(14!)) 3,243,408,159,118,743,000 8.35
9 ((22!/13!)/(9!))x((58!/45!)/(13!)) 1,569,649,380,709,317,600 17.26
10 ((22!/12!)/(10!))x((58!/46!)/(12!)) 576,675,533,347,553,640 46.97
11 ((22!/11!)/(11!))x((58!/47!)/(11!)) 160,621,425,149,028,480 168.65
12 ((22!/10!)/(12!))x((58!/48!)/(10!)) 33,741,653,546,931,330 802.83
13 ((22!/9!)/(13!))x((58!/49!)/(9!)) 5,296,962,880,209,000 5,114.02
14 ((22!/8!)/(14!))x((58!/50!)/(8!)) 612,934,276,138,470 44,195.25
15 ((22!/7!)/(15!))x((58!/51!)/(7!)) 51,278,161,663,872 528,271.40
16 ((22!/6!)/(16!))x((58!/52!)/(6!)) 3,019,987,886,454 8,969,832.68
17 ((22!/5!)/(17!))x((58!/53!)/(5!)) 120,665,442,744 224,494,978.92
18 ((22!/4!)/(18!))x((58!/54!)/(4!)) 3,103,535,050 8,728,364,780.27
19 ((22!/3!)/(19!))x((58!/55!)x(3!)) 47,518,240 570,071,324,711.16
20 ((22!/2!)/(20!))x((58!/56!)/(2!)) 381,843 70,942,209,297,388.28
21 ((22!/1!)/(21!))x((58!/57!)/(1!)) 1,276 21,229,456,132,243,433.89
22 ((22!/0!)/(22!))x((58!/58!)/(0!)) 1 27,088,786,024,742,634,400.00

Top/Bottom, Left/Right and Odd/Even

Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.

Some games will give the player the option of splitting the playslip in half, either horizontally or vertically, and pay according to the distribution of drawn numbers in any half.
Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.

Hits Formula Possibilities Odds - 1::
0 of 40 ((40!/40!)/(0!))x((40!/18!)/(22!)) 113,380,261,800 238,919,769.58
1 of 40 ((40!/39!)/(1!))x((40!/19!)/(21!)) 5,251,296,336,000 5,158,495.03
2 of 40 ((40!/38!)/(2!))x((40!/20!)/(20!)) 107,520,292,479,600 251,941.15
3 of 40 ((40!/37!)/(3!))x((40!/21!)/(19!)) 1,297,070,194,992,000 20,884.60
4 of 40 ((40!/36!)/(4!))x((40!/22!)/(18!)) 10,361,822,125,902,000 2,614.29
5 of 40 ((40!/35!)/(5!))x((40!/23!)/(17!)) 58,386,615,109,430,400 463.96
6 of 40 ((40!/34!)/(6!))x((40!/24!)/(16!)) 241,250,249,931,327,000 112.29
7 of 40 ((40!/33!)/(7!))x((40!/25!)/(15!)) 749,943,634,072,239,360 36.12
8 of 40 ((40!/32!)/(8!))x((40!/26!)/(14!)) 1,784,721,629,162,300,400 15.18
9 of 40 ((40!/31!)/(9!))x((40!/27!)/(13!)) 3,290,350,987,097,574,400 8.23
10 of 40 ((40!/30!)/(10!))x((40!/28!)/(12!)) 4,735,755,170,715,437,440 5.72
11 of 40 ((40!/29!)/(11!))x((40!/29!)/(11!)) 5,344,425,897,986,073,600 5.07
12 of 40 ((40!/28!)/(12!))x((40!/30!)/(10!)) 4,735,755,170,715,437,440 5.72
13 of 40 ((40!/27!)/(13!))x((40!/31!)/(9!)) 3,290,350,987,097,574,400 8.23
14 of 40 ((40!/26!)/(14!))x((40!/32!)/(8!)) 1,784,721,629,162,300,400 15.18
15 of 40 ((40!/25!)/(15!))x((40!/33!)/(7!)) 749,943,634,072,239,360 36.12
16 of 40 ((40!/24!)/(16!))x((40!/34!)/(6!)) 241,250,249,931,327,000 112.29
17 of 40 ((40!/23!)/(17!))x((40!/35!)/(5!)) 58,386,615,109,430,400 463.96
18 of 40 ((40!/22!)/(18!))x((40!/36!)/(4!)) 10,361,822,125,902,000 2,614.29
19 of 40 ((40!/21!)/(19!))x((40!/37!)/(2!)) 1,297,070,194,992,000 20,884.60
20 of 40 ((40!/20!)/(20!))x((40!/38!)/(2!)) 107,520,292,479,600 251,941.15
21 of 40 ((40!/19!)/(21!))x((40!/39!)/(1!)) 5,251,296,336,000 5,158,495.03
22 of 40 ((40!/18!)/(22!))x((40!/40!)/(0!)) 113,380,261,800 238,919,769.58

Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 10 or 12 spots on top or bottom, left or right, and odd or even (or combinations like 9-13, 8-14, 7-15, 6-16, 5-17, 4-18, 3-19, 2-20, 1-21 and 0-22), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved. The 11, however, is unique.

Top, Middle or Bottom

Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.

Some games will give the bettor the option of selecting which area of the board into which the majority of the 20 drawn numbers will fall or, as an alternative, allow the bettor to wager that 11 numbers will fall on either side of the board.

Hits Formula Possibilities Odds - 1::
<11 of 22 (Calculated) 10,872,180,063,378,280,400 2.49
11 of 22 ((40!/29!)/(11!))x((40!/29!)/(11!)) 5,344,425,897,986,073,600 5.07
>11 of 22 (Calculated) 10,872,180,063,378,280,400 2.49

Edge and Inside/Outside

The 80-number Keno board can be displayed with eight rows of ten numbers each or ten rows of eight numbers each. In either case the edge will consist of 32 numbers.

Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.

Hits Formula Possibilities Odds - 1::
0 of 32 ((32!/32!)/(0!))x((48!/26!)/(22!)) 27,385,657,281,648 989,159.61
1 of 32 ((32!/31!)/(1!))x((48!/27!)/(21!)) 714,055,656,528,896 37,936.52
2 of 32 ((32!/30!)/(2!))x((48!/28!)/(20!)) 8,300,897,007,148,416 3,263.36
3 of 32 ((32!/29!)/(3!))x((48!/29!)/(19!)) 57,247,565,566,540,800 473.19
4 of 32 ((32!/28!)/(4!))x((48!/30!)/(18!)) 262,861,738,559,699,840 103.05
5 of 32 ((32!/27!)/(5!))x((48!/31!)/(17!)) 854,724,620,865,088,512 31.69
6 of 32 ((32!/26!)/(6!))x((48!/32!)/(16!)) 2,043,326,046,755,602,224 13.26
7 of 32 ((32!/25!)/(7!))x((48!/33!)/(15!)) 3,679,755,997,620,478,464 7.36
8 of 32 ((32!/24!)/(8!))x((48!/34!)/(14!)) 5,073,193,011,425,292,000 5.34
9 of 32 ((32!/23!)/(9!))x((48!/35!)/(13!)) 5,411,405,878,853,644,800 5.01
10 of 32 ((32!/22!)/(10!))x((48!/36!)/(12!)) 4,494,473,216,047,888,320 6.03
11 of 32 ((32!/21!)/(11!))x((48!/37!)/(11!)) 2,915,333,977,977,008,640 9.29
12 of 32 ((32!/20!)/(12!))x((48!/38!)/(10!)) 1,476,846,817,790,984,640 18.34
13 of 32 ((32!/19!)/(13!))x((48!/39!)/(9!)) 582,582,571,120,704,000 46.50
14 of 32 ((32!/18!)/(14!))x((48!/40!)/(8!)) 177,895,749,395,786,400 152.27
15 of 32 ((32!/17!)/(15!))x((48!/41!)/(7!)) 41,653,638,882,915,840 650.33
16 of 32 ((32!/16!)/(16!))x((48!/42!)/(6!)) 7,376,165,218,849,680 3,672.48
17 of 32 ((32!/15!)/(17!))x((48!/43!)/(5!)) 968,689,276,346,880 27,964.37
18 of 32 ((32!/14!)/(18!))x((48!/44!)/(4!)) 91,731,939,048,000 295,303.75
19 of 32 ((32!/13!)/(19!))x((48!/45!)/(3!)) 6,008,173,785,600 4,508,655.54
20 of 32 ((32!/12!)/(20!))x((48!/46!)/(2!)) 254,694,323,520 106,358,028.13
21 of 32 ((32!/11!)/(21!))x((48!/47!)/(1!)) 6,193,175,040 4,373,973,906.73
22 of 32 ((32!/10!)/(22!))x((48!/48!)/(0!)) 64,512,240 419,901,495,045.63

Keno Computation Tables - 20 Numbers Drawn From a 70-Number Board

Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.

1 Spot

Formula for determining total possibilities - (70!/69!)/(1!) = 70.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/49!)/(1!)) 50 1.40
1 ((20!/19!)/(1!))x((50!/50!)/(0!)) 20 3.50

2 Spot

Formula for determining total possibilities - (70!/68!)/(2!) = 2,415.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/48!)/(2!)) 1,225 1.97
1 ((20!/19!)/(1!))x((50!/49!)/(1!)) 1,000 2.42
2 ((20!/18!)/(2!))x((50!/50!)/(0!)) 190 12.71

3 Spot

Formula for determining total possibilities - (70!/67!)/(3!) = 54,740.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/47!)/(3!)) 19,600 2.79
1 ((20!/19!)/(1!))x((50!/48!)/(2!)) 24,500 2.23
2 ((20!/18!)/(2!))x((50!/49!)/(1!)) 9,500 5.76
3 ((20!/17!)/(3!))x((50!/50!)/(0!)) 1,140 48.02

4 Spot

Formula for determining total possibilities - (70!/66!)/(4!) = 916,895.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/46!)/(4!)) 230,300 3.98
1 ((20!/19!)/(1!))x((50!/47!)/(3!)) 392,000 2.34
2 ((20!/18!)/(2!))x((50!/48!)/(2!)) 232,750 3.94
3 ((20!/17!)/(3!))x((50!/49!)/(1!)) 57,000 16.09
4 ((20!/16!)/(4!))x((50!/50!)/(0!)) 4,845 189.25

5 Spot

Formula for determining total possibilities - (70!/65!)/(5!) = 12,013,014.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/45!)/(5!)) 2,118,760 5.71
1 ((20!/19!)/(1!))x((50!/46!)/(4!)) 4,606,000 2.63
2 ((20!/18!)/(2!))x((50!/47!)/(3!)) 3,724,000 3.25
3 ((20!/17!)/(3!))x((50!/48!)/(2!)) 1,396,500 8.67
4 ((20!/16!)/(4!))x((50!/49!)/(1!)) 242,250 49.96
5 ((20!/15!)/(5!))x((50!/50!)/(0!)) 15,504 780.64

6 Spot

Formula for determining total possibilities - (70!/64!)/(6!) = 131,115,985.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/44!)/(6!)) 15,890,700 8.25
1 ((20!/19!)/(1!))x((50!/45!)/(5!)) 42,375,200 3.09
2 ((20!/18!)/(2!))x((50!/46!)/(4!)) 43,757,000 3.00
3 ((20!/17!)/(3!))x((50!/47!)/(3!)) 22,344,000 5.87
4 ((20!/16!)/(4!))x((50!/48!)/(2!)) 5,935,125 22.09
5 ((20!/15!)/(5!))x((50!/49!)/(1!)) 775,200 169.14
6 ((20!/14!)/(6!))x((50!/50!)/(0!)) 38,760 3,382.77

7 Spot

Formula for determining total possibilities - (70!/63!)/(7!) = 1,198,774,720.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/43!)/(7!)) 99,884,400 12.00
1 ((20!/19!)/(1!))x((50!/44!)/(6!)) 317,814,000 3.77
2 ((20!/18!)/(2!))x((50!/45!)/(5!)) 402,564,400 2.98
3 ((20!/17!)/(3!))x((50!/46!)/(4!)) 262,542,000 4.57
4 ((20!/16!)/(4!))x((50!/47!)/(3!)) 94,962,000 12.62
5 ((20!/15!)/(5!))x((50!/48!)/(2!)) 18,992,400 63.12
6 ((20!/14!)/(6!))x((50!/49!)/(1!)) 1,938,000 618.56
7 ((20!/13!)/(7!))x((50!/50!)/(0!)) 77,520 15,464.07

8 Spot

Formula for determining total possibilities - (70!/62!)/(8!) = 9,440,350,920.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/42!)/(8!)) 536,878,650 17.58
1 ((20!/19!)/(1!))x((50!/43!)/(7!)) 1,997,688,000 4.73
2 ((20!/18!)/(2!))x((50!/44!)/(6!)) 3,019,233,000 3.13
3 ((20!/17!)/(3!))x((50!/45!)/(5!)) 2,415,386,400 3.91
4 ((20!/16!)/(4!))x((50!/46!)/(4!)) 1,115,803,500 8.46
5 ((20!/15!)/(5!))x((50!/47!)/(3!)) 303,878,400 31.07
6 ((20!/14!)/(6!))x((50!/48!)/(2!)) 47,481,000 198.82
7 ((20!/13!)/(7!))x((50!/49!)/(1!)) 3,876,000 2,435.59
8 ((20!/12!)/(8!))x((50!/50!)/(0!)) 125,970 74,941.26

9 Spot

Formula for determining total possibilities - (70!/61!)/(9!) = 65,033,528,560.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/41!)/(9!)) 2,505,433,700 25.96
1 ((20!/19!)/(1!))x((50!/42!)/(8!)) 10,737,573,000 6.06
2 ((20!/18!)/(2!))x((50!/43!)/(7!)) 18,978,036,000 3.43
3 ((20!/17!)/(3!))x((50!/44!)/(6!)) 18,115,398,000 3.59
4 ((20!/16!)/(4!))x((50!/45!)/(5!)) 10,265,392,200 6.34
5 ((20!/15!)/(5!))x((50!/46!)/(4!)) 3,570,571,200 18.21
6 ((20!/14!)/(6!))x((50!/47!)/(3!)) 759,696,000 85.60
7 ((20!/13!)/(7!))x((50!/48!)/(2!)) 94,962,000 684.84
8 ((20!/12!)/(8!))x((50!/49!)/(1!)) 6,298,500 10,325.24
9 ((20!/11!)/(9!))x((50!/50!)/(0!)) 167,960 387,196.53

10 Spot

Formula for determining total possibilities - (70!/60!)/(10!) = 396,704,524,216.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/40!)/(10!)) 10,272,278,170 38.62
1 ((20!/19!)/(1!))x((50!/41!)/(9!)) 50,108,674,000 7.92
2 ((20!/18!)/(2!))x((50!/42!)/(8!)) 102,006,943,500 3.89
3 ((20!/17!)/(3!))x((50!/43!)/(7!)) 113,868,216,000 3.48
4 ((20!/16!)/(4!))x((50!/44!)/(6!)) 76,990,441,500 5.15
5 ((20!/15!)/(5!))x((50!/45!)/(5!)) 32,849,255,040 12.08
6 ((20!/14!)/(6!))x((50!/46!)/(4!)) 8,926,428,000 44.44
7 ((20!/13!)/(7!))x((50!/47!)/(3!)) 1,519,392,000 261.09
8 ((20!/12!)/(8!))x((50!/48!)/(2!)) 154,313,250 2,570.77
9 ((20!/11!)/(9!))x((50!/49!)/(1!)) 8,398,000 47,237.98
10 ((20!/10!)/(10!))x((50!/50!)/(0!)) 184,756 2,147,180.74

11 Spot

Formula for determining total possibilities - (70!/59!)/(11!) = 2,163,842,859,360.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/39!)/(11!)) 37,353,738,800 57.93
1 ((20!/19!)/(1!))x((50!/40!)/(10!)) 205,445,563,400 10.53
2 ((20!/18!)/(2!))x((50!/41!)/(9!)) 476,032,403,000 4.55
3 ((20!/17!)/(3!))x((50!/42!)/(8!)) 612,041,661,000 3.54
4 ((20!/16!)/(4!))x((50!/43!)/(7!)) 483,939,918,000 4.47
5 ((20!/15!)/(5!))x((50!/44!)/(6!)) 246,369,412,800 8.78
6 ((20!/14!)/(6!))x((50!/45!)/(5!)) 82,123,137,600 26.35
7 ((20!/13!)/(7!))x((50!/46!)/(4!)) 17,852,856,000 121.20
8 ((20!/12!)/(8!))x((50!/47!)/(3!)) 2,469,012,000 876.40
9 ((20!/11!)/(9!))x((50!/48!)/(2!)) 205,751,000 10,516.80
10 ((20!/10!)/(10!))x((50!/49!)/(1!)) 9,237,800 234,237.90
11 ((20!/9!)/(11!))x((50!/50!)/(0!)) 167,960 12,883,084.42

12 Spot

Formula for determining total possibilities - (70!/58!)/(12!) = 10,638,894,058,520.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/38!)/(12!)) 121,399,651,100 87.64
1 ((20!/19!)/(1!))x((50!/39!)/(11!)) 747,074,776,000 14.24
2 ((20!/18!)/(2!))x((50!/40!)/(10!)) 1,951,732,852,300 5.45
3 ((20!/17!)/(3!))x((50!/41!)/(9!)) 2,856,194,418,000 3.72
4 ((20!/16!)/(4!))x((50!/42!)/(8!)) 2,601,177,059,250 4.09
5 ((20!/15!)/(5!))x((50!/43!)/(7!)) 1,548,607,737,600 6.87
6 ((20!/14!)/(6!))x((50!/44!)/(6!)) 615,923,532,000 17.27
7 ((20!/13!)/(7!))x((50!/45!)/(5!)) 164,246,275,200 64.77
8 ((20!/12!)/(8!))x((50!/46!)/(4!)) 29,010,891,000 366.72
9 ((20!/11!)/(9!))x((50!/47!)/(3!)) 3,292,016,000 3,231.73
10 ((20!/10!)/(10!))x((50!/48!)/(2!)) 226,326,100 47,006.93
11 ((20!/9!)/(11!))x((50!/49!)/(1!)) 8,398,000 1,266,836.63
12 ((20!/8!)/(12!))x((50!/50!)/(0!)) 125,970 84,455,775.65

13 Spot

Formula for determining total possibilities - (70!/57!)/(13!) = 47,465,835,030,320.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/37!)/(13!)) 354,860,518,600 133.76
1 ((20!/19!)/(1!))x((50!/38!)/(12!)) 2,427,993,022,000 19.55
2 ((20!/18!)/(2!))x((50!/39!)/(11!)) 7,097,210,372,000 6.69
3 ((20!/17!)/(3!))x((50!/40!)/(10!)) 11,710,397,113,800 4.05
4 ((20!/16!)/(4!))x((50!/41!)/(9!)) 12,138,826,276,500 3.91
5 ((20!/15!)/(5!))x((50!/42!)/(8!)) 8,323,766,589,600 5.70
6 ((20!/14!)/(6!))x((50!/43!)/(7!)) 3,871,519,344,000 12.26
7 ((20!/13!)/(7!))x((50!/44!)/(6!)) 1,231,847,064,000 38.53
8 ((20!/12!)/(8!))x((50!/45!)/(5!)) 266,900,197,200 177.84
9 ((20!/11!)/(9!))x((50!/46!)/(4!)) 38,681,188,000 1,227.10
10 ((20!/10!)/(10!))x((50!/47!)/(3!)) 3,621,217,600 13,107.70
11 ((20!/9!)/(11!))x((50!/48!)/(2!)) 205,751,000 230,695.53
12 ((20!/8!)/(12!))x((50!/49!)/(1!)) 6,298,500 7,536,053.83
13 ((20!/7!)/(13!))x((50!/50!)/(0!)) 77,520 612,304,373.46

14 Spot

Formula for determining total possibilities - (70!/56!)/(14!) = 193,253,756,909,160.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/36!)/(14!)) 937,845,656,300 206.60
1 ((20!/19!)/(1!))x((50!/37!)/(13!)) 7,097,210,372,000 27.23
2 ((20!/18!)/(2!))x((50!/38!)/(12!)) 23,065,933,709,000 8.38
3 ((20!/17!)/(3!))x((50!/39!)/(11!)) 42,583,262,232,000 4.54
4 ((20!/16!)/(4!))x((50!/40!)/(10!)) 49,769,187,733,650 3.88
5 ((20!/15!)/(5!))x((50!/41!)/(9!)) 38,844,244,084,800 4.98
6 ((20!/14!)/(8!))x((50!/42!)/(8!)) 20,809,416,474,000 9.29
7 ((20!/13!)/(7!))x((50!/43!)/(7!)) 7,743,038,688,000 24.96
8 ((20!/12!)/(8!))x((50!/44!)/(6!)) 2,001,751,479,000 96.54
9 ((20!/11!)/(9!))x((50!/45!)/(5!)) 355,866,929,600 543.05
10 ((20!/10!)/(10!))x((50!/46!)/(4!)) 42,549,306,800 4,541.88
11 ((20!/9!)/(11!))x((50!/47!)/(3!)) 3,292,016,000 58,703.77
12 ((20!/8!)/(12!))x((50!/48!)/(2!)) 154,313,250 1,252,347.14
13 ((20!/7!)/(13!))x((50!/49!)/(1!)) 3,876,000 49,859,070.41
14 ((20!/6!)/(14!))x((50!/50!)/(0!)) 38,760 4,985,907,041.00

15 Spot

Formula for determining total possibilities - (70!/55!)/(15!) = 721,480,692,460,864.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/35!)/(15!)) 2,250,829,575,120 320.54
1 ((20!/19!)/(1!))x((50!/36!)/(14!)) 18,756,913,126,000 38.46
2 ((20!/18!)/(2!))x((50!/37!)/(13!)) 67,243,498,534,000 10.70
3 ((20!/17!)/(3!))x((50!/38!)/(12!)) 138,395,602,254,000 5.21
4 ((20!/16!)/(4!))x((50!/39!)/(11!)) 180,978,864,486,000 3.88
5 ((20!/15!)/(5!))x((50!/40!)/(10!)) 159,261,400,747,680 4.53
6 ((20!/14!)/(6!))x((50!/41!)/(9!)) 97,110,610,212,000 7.43
7 ((20!/13!)/(7!))x((50!/42!)/(8!)) 41,618,832,948,000 17.34
8 ((20!/12!)/(8!))x((50!/43!)/(7!)) 12,582,437,868,000 57.34
9 ((20!/11!)/(9!))x((50!/44!)/(6!)) 2,669,001,972,000 270.32
10 ((20!/10!)/(10!))x((50!/45!)/(5!)) 391,453,622,560 1,843.08
11 ((20!/9!)/(11!))x((50!/46!)/(4!)) 38,681,188,000 18,651.98
12 ((20!/8!)/(12!))x((50!/47!)/(3!)) 2,469,012,000 292,214.33
13 ((20!/7!)/(13!))x((50!/48!)/(2!)) 94,962,000 7,597,572.63
14 ((20!/6!)/(14!))x((50!/49!)/(1!)) 1,938,000 372,281,059.06
15 ((20!/5!)/(15!))x((50!/50!)/(0!)) 15,504 46,535,132,382.67

16 Spot

Formula for determining total possibilities - (70!/54!)/(16!) = 2,480,089,880,334,220.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/34!)/(16!)) 4,923,689,695,575 503.71
1 ((20!/19!)/(1!))x((50!/35!)/(15!)) 45,016,591,502,400 55.09
2 ((20!/18!)/(2!))x((50!/36!)/(14!)) 178,190,674,697,000 13.92
3 ((20!/17!)/(3!))x((50!/37!)/(13!)) 404,540,991,204,000 6.13
4 ((20!/16!)/(4!))x((50!/38!)/(12!)) 588,181,309,579,500 4.22
5 ((20!/15!)/(5!))x((50!/39!)/(11!)) 579,132,366,355,200 4.28
6 ((20!/14!)/(6!))x((50!/40!)/(10!)) 398,153,501,869,200 6.23
7 ((20!/13!)/(7!))x((50!/41!)/(9!)) 194,221,220,424,000 12.77
8 ((20!/12!)/(8!))x((50!/42!)/(8!)) 67,630,603,540,500 36.67
9 ((20!/11!)/(9!))x((50!/43!)/(7!)) 16,776,583,824,000 147.83
10 ((20!/10!)/(10!))x((50!/44!)/(6!)) 2,935,902,169,200 844.75
11 ((20!/9!)/(11!))x((50!/45!)/(5!)) 355,866,929,600 6,969.15
12 ((20!/8!)/(12!))x((50!/46!)/(4!)) 29,010,891,000 85,488.24
13 ((20!/7!)/(13!))x((50!/47!)/(3!)) 1,519,392,000 1,632,291.00
14 ((20!/6!)/(14!))x((50!/48!)/(2!)) 47,481,000 52,233,311.86
15 ((20!/5!)/(15!))x((50!/49!)/(1!)) 775,200 3,199,290,351.31
16 ((20!/4!)/(16!))x((50!/50!)/(0!)) 4,845 511,886,456,209.33

17 Spot

Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,640.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/33!)/(17!)) 9,847,379,391,150 800.00
1 ((20!/19!)/(1!))x((50!/34!)/(16!)) 98,473,793,911,500 80.00
2 ((20!/18!)/(2!))x((50!/35!)/(15!)) 427,657,619,272,800 18.42
3 ((20!/17!)/(3!))x((50!/36!)/(14!)) 1,069,144,048,182,000 7.37
4 ((20!/16!)/(4!))x((50!/37!)/(13!)) 1,719,299,212,617,000 4.58
5 ((20!/15!)/(5!))x((50!/38!)/(12!)) 1,882,180,190,654,400 4.19
6 ((20!/14!)/(6!))x((50!/39!)/(11!)) 1,447,830,915,888,000 5.44
7 ((20!/13!)/(7!))x((50!/40!)/(10!)) 796,307,003,738,400 9.89
8 ((20!/12!)/(8!))x((50!/41!)/(9!)) 315,609,483,189,000 24.96
9 ((20!/11!)/(9!))x((50!/42!)/(8!)) 90,174,138,054,000 87.36
10 ((20!/10!)/(10!))x((50!/43!)/(7!)) 18,454,242,206,400 426.89
11 ((20!/9!)/(11!))x((50!/44!)/(6!)) 2,669,001,972,000 2,951.64
12 ((20!/8!)/(12!))x((50!/45!)/(5!)) 266,900,197,200 29,516.40
13 ((20!/7!)/(13!))x((50!/46!)/(4!)) 17,852,856,000 441,270.16
14 ((20!/6!)/(14!))x((50!/47!)/(3!)) 759,696,000 10,369,848.68
15 ((20!/5!)/(15!))x((50!/48!)/(2!)) 18,992,400 414,793,947.11
16 ((20!/4!)/(16!))x((50!/49!)/(1!)) 242,250 32,519,845,453.50
17 ((20!/3!)/(17!))x((50!/50!)/(0!)) 1,140 6,910,467,158,826.00

18 Spot

Formula for determining total possibilities - (70!/52!)/(18!) = 23,196,134,763,125,940.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/32!)/(18!)) 18,053,528,883,775 1,284.85
1 ((20!/19!)/(1!))x((50!/33!)/(17!)) 196,947,587,823,000 117.78
2 ((20!/18!)/(2!))x((50!/34!)/(16!)) 935,501,042,159,250 24.80
3 ((20!/17!)/(3!))x((50!/35!)/(15!)) 2,565,945,715,636,800 9.04
4 ((20!/16!)/(4!))x((50!/36!)/(14!)) 4,543,862,204,773,500 5.10
5 ((20!/15!)/(5!))x((50!/37!)/(13!)) 5,501,757,480,374,400 4.22
6 ((20!/14!)/(6!))x((50!/38!)/(12!)) 4,705,450,476,636,000 4.93
7 ((20!/13!)/(7!))x((50!/39!)/(11!)) 2,895,661,831,776,000 8.01
8 ((20!/12!)/(8!))x((50!/40!)/(10!)) 1,293,998,881,074,900 17.93
9 ((20!/11!)/(9!))x((50!/41!)/(9!)) 420,812,644,252,000 55.12
10 ((20!/10!)/(10!))x((50!/42!)/(8!)) 99,191,551,859,400 233.85
11 ((20!/9!)/(11!))x((50!/43!)/(7!)) 16,776,583,824,000 1,382.65
12 ((20!/8!)/(12!))x((50!/44!)/(6!)) 2,001,751,479,000 11,587.92
13 ((20!/7!)/(13!))x((50!/45!)/(5!)) 164,246,275,200 141,277.77
14 ((20!/6!)/(14!))x((50!/46!)/(4!)) 8,926,428,000 2,598,590.92
15 ((20!/5!)/(15!))x((50!/47!)/(3!)) 303,878,400 76,333,608.32
16 ((20!/4!)/(16!))x((50!/48!)/(2!)) 5,935,125 3,908,280,746.09
17 ((20!/3!)/(17!))x((50!/49!)/(1!)) 57,000 406,949,732,686.42
18 ((20!/2!)/(18!))x((60!/60!)/(0!)) 190 122,084,919,805,926.00

19 Spot

Formula for determining total possibilities - (70!/51!)/(19!) = 63,484,158,299,081,520.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/31!)/(19!)) 30,405,943,383,200 2,087.89
1 ((20!/19!)/(1!))x((50!/32!)/(18!)) 361,070,577,675,500 175.82
2 ((20!/18!)/(2!))x((50!/33!)/(17!)) 1,871,002,084,318,500 33.93
3 ((20!/17!)/(3!))x((50!/34!)/(16!)) 5,613,006,252,955,500 11.31
4 ((20!/16!)/(4!))x((50!/35!)/(15!)) 10,905,269,291,456,400 5.82
5 ((20!/15!)/(5!))x((50!/36!)/(14!)) 14,540,359,055,275,200 4.37
6 ((20!/14!)/(6!))x((50!/37!)/(13!)) 13,754,393,700,936,000 4.62
7 ((20!/13!)/(7!))x((50!/38!)/(12!)) 9,410,900,953,272,000 6.75
8 ((20!/12!)/(8!))x((50!/39!)/(11!)) 4,705,450,476,636,000 13.49
9 ((20!/11!)/(9!))x((50!/40!)/(10!)) 1,725,331,841,433,200 36.80
10 ((20!/10!)/(10!))x((50!/41!)/(9!)) 462,893,908,677,200 137.15
11 ((20!/9!)/(11!))x((50!/42!)/(8!)) 90,174,138,054,000 704.02
12 ((20!/8!)/(12!))x((50!/43!)/(7!)) 12,582,437,868,000 5,045.46
13 ((20!/7!)/(13!))x((50!/44!)/(6!)) 1,231,847,064,000 51,535.75
14 ((20!/6!)/(14!))x((50!/45!)/(5!)) 82,123,137,600 773,036.20
15 ((20!/5!)/(15!))x((50!/46!)/(4!)) 3,570,571,200 17,779,832.62
16 ((20!/4!)/(16!))x((50!/47!)/(3!)) 94,962,000 668,521,706.57
17 ((20!/3!)/(17!))x((50!/48!)/(2!)) 1,396,500 45,459,476,046.60
18 ((20!/2!)/(18!))x((50!/49!)/(1!)) 9,500 6,682,542,978,850.69
19 ((20!/1!)/(19!))x((50!/50!)/(0!)) 20 3,174,207,914,954,076.00

20 Spot

Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.

Hits Formula Possibilities Odds - 1::
0 ((20!/20!)/(0!))x((50!/30!)/(20!)) 47,129,212,243,960 3,431.91
1 ((20!/19!)/(1!))x((50!/31!)/(19!)) 608,118,867,664,000 266.21
2 ((20!/18!)/(2!))x((50!/32!)/(18!)) 3,430,170,487,917,250 47.19
3 ((20!/17!)/(3!))x((50!/33!)/(17!)) 11,226,012,505,911,000 14.42
4 ((20!/16!)/(4!))x((50!/34!)/(16!)) 23,855,276,575,060,875 6.79
5 ((20!/15!)/(5!))x((50!/35!)/(15!)) 34,896,861,732,660,480 4.64
6 ((20!/14!)/(6!))x((50!/36!)/(14!)) 36,350,897,638,188,000 4.45
7 ((20!/13!)/(7!))x((50!/37!)/(13!)) 27,508,787,401,872,000 5.88
8 ((20!/12!)/(8!))x((50!/38!)/(12!)) 15,292,714,049,067,000 10.59
9 ((20!/11!)/(9!))x((50!/39!)/(11!)) 6,273,933,968,848,000 24.80
10 ((20!/10!)/(10!))x((50!/40!)/(10!)) 1,897,865,025,576,520 85.30
11 ((20!/9!)/(11!))x((50!/41!)/(9!)) 420,812,644,252,000 384.70
12 ((20!/8!)/(12!))x((50!/42!)/(8!)) 67,630,603,540,500 2,393.66
13 ((20!/7!)/(13!))x((50!/43!)/(7!)) 7,743,038,688,000 20,907.12
14 ((20!/6!)/(14!))x((50!/44!)/(6!)) 615,923,532,000 262,832.31
15 ((20!/5!)/(15!))x((50!/45!)/(5!)) 32,849,255,040 4,928,105.78
16 ((20!/4!)/(16!))x((50!/46!)/(4!)) 1,115,803,500 145,083,434.19
17 ((20!/3!)/(17!))x((50!/47!)/(3!)) 22,344,000 7,245,103,994.93
18 ((20!/2!)/(18!))x((50!/48!)/(2!)) 232,750 695,529,983,513.03
19 ((20!/1!)/(19!))x((50!/49!)x(1!)) 1,000 161,884,603,662,657.88
20 ((20!/0!)/(20!))x((50!/50!)/(0!)) 1 161,884,603,662,657,876.00

Top/Bottom, Left/Right and Odd/Even

Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.

Some games will give the player the option of splitting the playslip in half, (either horizontally or vertically, depending on how the playslip is configured) and pay according to the distribution of drawn numbers in any half. Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.

Hits Formula Possibilities Odds - 1::
0 of 35 ((35!/35!)/(0!))x((35!/15!)/(20!)) 3,247,943,160 49,842,191.10
1 of 35 ((35!/34!)/(1!))x((35!/16!)/(19!)) 142,097,513,250 1,139,250.08
2 of 35 ((35!/33!)/(2!))x((35!/17!)/(18!)) 2,699,852,751,750 59,960.53
3 of 35 ((35!/32!)/(3!))x((35!/18!)/(17!)) 29,698,380,269,250 5,450.96
4 of 35 ((35!/31!)/(4!))x((35!/19!)/(16!)) 212,577,879,822,000 761.53
5 of 35 ((35!/30!)/(5!))x((35!/20!)/(15!)) 1,054,386,283,917,120 153.53
6 of 35 ((35!/29!)/(6!))x((35!/21!)/(14!)) 3,765,665,299,704,000 42.99
7 of 35 ((35!/28!)/(7!))x((35!/22!)/(13!)) 9,927,663,062,856,000 16.31
8 of 35 ((35!/27!)/(8!))x((35!/23!)/(12!)) 19,639,507,363,476,000 8.24
9 of 35 ((35!/26!)/(9!))x((35!/24!)/(11!)) 29,459,261,045,214,000 5.50
10 of 35 ((35!/25!)/(10!))x((35!/25!)/(10!)) 33,701,394,635,724,816 4.80
11 of 35 ((35!/24!)/(11!))x((35!/26!)/(9!)) 29,459,261,045,214,000 5.50
12 of 35 ((35!/23!)/(12!))x((35!/27!)/(8!)) 19,639,507,363,476,000 8.24
13 of 35 ((35!/22!)/(13!))x((35!/28!)/(7!)) 9,927,663,062,856,000 16.31
14 of 35 ((35!/21!)/(14!))x((35!/29!)/(6!)) 3,765,665,299,704,000 42.99
15 of 35 ((35!/20!)/(15!))x((35!/30!)/(5!)) 1,054,386,283,917,120 153.53
16 of 35 ((35!/19!)/(16!))x((35!/31!)/(4!)) 212,577,879,822,000 761.53
17 of 35 ((35!/18!)/(17!))x((35!/32!)/(3!)) 29,698,380,269,250 5,450.96
18 of 35 ((35!/17!)/(18!))x((35!/33!)/(2!)) 2,699,852,751,750 59,960.53
19 of 35 ((35!/16!)/(19!))x((35!/34!)/(1!)) 142,097,513,250 1,139,250.08
20 of 35 ((35!/15!)/(20!))x((35!/35!)/(0!)) 3,247,943,160 49,842,191.10

Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 9 or 11 spots on top or bottom, left or right, and odd or even (or combinations like 8-12, 7-13, 6-14, 5-15, 4-16, 3-17, 2-18, 1-19 and 0-20), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved. The 10, however, is unique.

Top, Middle or Bottom

Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.

Some games will give the bettor the option of selecting which area of the board into which the majority of the 20 drawn numbers will fall or, as an alternative, allow the bettor to wager that 10 numbers will fall on either side of the board.

Hits Formula Possibilities Odds - 1::
<10 of 20 (Calculated) 64,091,604,513,466,530 2.53
10 of 20 ((35!/25!)/(10!))x((35!/25!)/(10!)) 33,701,394,635,724,816 4.80
>10 of 20 (Calculated) 64,091,604,513,466,530 2.53

Edge and Inside/Outside

The 70-number Keno board can be displayed with seven rows of ten numbers each or ten rows of seven numbers each. In either case the outer edge (hence the name) will be composed of 30 numbers.

Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.

Hits Formula Possibilities Odds - 1::
0 of 30 ((30!/30!)/(0!))x((40!/20!)/(20!)) 137,846,528,820 1,174,382.88
1 of 30 ((30!/29!)/(1!))x((40!/21!)/(19!)) 3,938,472,252,000 41,103.40
2 of 30 ((30!/28!)/(2!))x((40!/22!)/(18!)) 49,320,413,883,000 3,282.30
3 of 30 ((30!/27!)/(3!))x((40!/23!)/(17!)) 360,253,457,928,000 449.36
4 of 30 ((30!/26!)/(4!))x((40!/24!)/(16!)) 1,722,461,845,718,250 93.98
5 of 30 ((30!/25!)/(5!))x((40!/25!)/(15!)) 5,732,353,022,550,336 28.24
6 of 30 ((30!/24!)/(6!))x((40!/26!)/(14!)) 13,779,694,765,746,000 11.75
7 of 30 ((30!/23!)/(7!))x((40!/27!)/(13!)) 24,497,235,139,104,000 6.61
8 of 30 ((30!/22!)/(8!))x((40!/28!)/(12!)) 32,699,434,404,429,000 4.95
9 of 30 ((30!/21!)/(9!))x((40!/29!)/(11!)) 33,075,289,972,296,000 4.89
10 of 30 ((30!/20!)/(10!))x((40!/30!)/(10!)) 25,467,973,278,667,920 6.36
11 of 30 ((30!/19!)/(11!))x((40!/31!)/(9!)) 14,937,227,729,424,000 10.84
12 of 30 ((30!/18!)/(12!))x((40!/32!)/(8!)) 6,651,734,223,259,125 24.34
13 of 30 ((30!/17!)/(13!))x((40!/33!)/(7!)) 2,232,749,949,066,000 72.50
14 of 30 ((30!/16!)/(14!))x((40!/34!)/(6!)) 558,187,487,266,500 290.02
15 of 30 ((30!/15!)/(15!))x((40!/35!)/(5!)) 102,068,569,100,160 1,586.04
16 of 30 ((30!/14!)/(16!))x((40!/36!)/(4!)) 13,290,178,268,250 12,180.77
17 of 30 ((30!/13!)/(17!))x((40!/37!)/(3!)) 1,183,227,318,000 136,816.15
18 of 30 ((30!/12!)/(18!))x((40!/38!)/(2!)) 67,464,715,500 2,399,544.75
19 of 30 ((30!/11!)/(19!))x((40!/39!)/(1!)) 2,185,092,000 74,085,944.05
20 of 30 ((30!/10!)/(20!))x((40!/40!)/(0!)) 30,045,015 5,388,068,658.40

Keno Computation Tables - 17 Numbers Drawn From a 70-Number Board

Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,632.

1 Spot

Formula for determining total possibilities - (70!/69!)/(1!) = 70.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/52!)/(1!)) 53 1.32
1 ((17!/16!)/(1!))x((53!/53!)/(0!)) 17 4.12

2 Spot

Formula for determining total possibilities - (70!/68!)/(2!) = 2,415.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/51!)/(2!)) 1,378 1.75
1 ((17!/16!)/(1!))x((53!/52!)/(1!)) 901 2.68
2 ((17!/15!)/(2!))x((53!/53!)/(0!)) 136 17.76

3 Spot

Formula for determining total possibilities - (70!/67!)/(3!) = 54,740.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/50!)/(3!)) 23,426 2.34
1 ((17!/16!)/(1!))x((53!/51!)/(2!)) 23,426 2.34
2 ((17!/15!)/(2!))x((53!/52!)/(1!)) 7,208 7.59
3 ((17!/14!)/(3!))x((53!/53!)/(0!)) 680 80.50

4 Spot

Formula for determining total possibilities - (70!/66!)/(4!) = 916,895.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/49!)/(4!)) 292,825 3.13
1 ((17!/16!)/(1!))x((53!/50!)/(3!)) 398,242 2.30
2 ((17!/15!)/(2!))x((53!/51!)/(2!)) 187,408 4.89
3 ((17!/14!)/(3!))x((53!/52!)/(1!)) 36,040 25.44
4 ((17!/13!)/(4!))x((53!/53!)/(0!)) 2,380 385.25

5 Spot

Formula for determining total possibilities - (70!/65!)/(5!) = 12,013,014.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/48!)/(5!)) 2,869,685 4.22
1 ((17!/16!)/(1!))x((53!/49!)/(4!)) 4,987,025 2.43
2 ((17!/15!)/(2!))x((53!/50!)/(3!)) 3,185,936 3.80
3 ((17!/14!)/(3!))x((53!/51!)/(2!)) 937,040 12.92
4 ((17!/13!)/(4!))x((53!/52!)/(1!)) 126,140 95.95
5 ((17!/12!)/(5!))x((53!/53!)/(0!)) 6,188 1,955.88

6 Spot

Formula for determining total possibilities - (70!/64!)/(6!) = 131,115,985.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/47!)/(6!)) 22,957,480 5.71
1 ((17!/16!)/(1!))x((53!/48!)/(5!)) 48,784,645 2.69
2 ((17!/15!)/(2!))x((53!/49!)/(4!)) 39,824,200 3.29
3 ((17!/14!)/(3!))x((53!/50!)/(3!)) 15,929,680 8.23
4 ((17!/13!)/(4!))x((53!/51!)/(2!)) 3,279,640 39.98
5 ((17!/12!)/(5!))x((53!/52!)/(1!)) 327,964 399.79
6 ((17!/11!)/(6!))x((53!/53!)/(0!)) 12,376 10,594.38

7 Spot

Formula for determining total possibilities - (70!/63!)/(7!) = 1,198,774,720.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/46!)/(7!)) 154,143,080 7.78
1 ((17!/16!)/(1!))x((53!/47!)/(6!)) 390,277,160 3.07
2 ((17!/15!)/(2!))x((53!/48!)/(5!)) 390,277,160 3.07
3 ((17!/14!)/(3!))x((53!/49!)/(4!)) 199,121,000 6.02
4 ((17!/13!)/(4!))x((53!/50!)/(3!)) 55,753,880 21.50
5 ((17!/12!)/(5!))x((53!/51!)/(2!)) 8,527,064 140.58
6 ((17!/11!)/(6!))x((53!/52!)/(1!)) 655,928 1,827.60
7 ((17!/10!)/(7!))x((53!/53!)/(0!)) 19,448 61,640.00

8 Spot

Formula for determining total possibilities - (70!/62!)/(8!) = 9,440,350,920.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/45!)/(8!)) 886,322,710 10.65
1 ((17!/16!)/(1!))x((53!/46!)/(7!)) 2,620,432,360 3.60
2 ((17!/15!)/(2!))x((53!/47!)/(6!)) 3,122,217,280 3.02
3 ((17!/14!)/(3!))x((53!/48!)/(5!)) 1,951,385,800 4.84
4 ((17!/13!)/(4!))x((53!/49!)/(4!)) 696,923,900 13.55
5 ((17!/12!)/(5!))x((53!/50!)/(3!)) 144,960,088 65.12
6 ((17!/11!)/(6!))x((53!/51!)/(2!)) 17,054,128 553.55
7 ((17!/10!)/(7!))x((53!/52!)/(1!)) 1,030,744 9,158.77
8 ((17!/9!)/(8!))x((53!/53!)/(0!)) 24,310 388,332.00

9 Spot

Formula for determining total possibilities - (70!/61!)/(9!) = 65,033,528,560.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/44!)/(9!)) 4,431,613,550 14.67
1 ((17!/16!)/(1!))x((53!/45!)/(8!)) 15,067,486,070 4.32
2 ((17!/15!)/(2!))x((53!/46!)/(7!)) 20,963,458,880 3.10
3 ((17!/14!)/(3!))x((53!/47!)/(6!)) 15,611,086,400 4.17
4 ((17!/13!)/(4!))x((53!/48!)/(5!)) 6,829,850,300 9.52
5 ((17!/12!)/(5!))x((53!/49!)/(4!)) 1,812,001,100 35.89
6 ((17!/11!)/(6!))x((53!/50!)/(3!)) 289,920,176 224.32
7 ((17!/10!)/(7!))x((53!/51!)/(2!)) 26,799,344 2,426,68
8 ((17!/9!)/(8!))x((53!/52!)/(1!)) 1,288,430 50,475.02
9 ((17!/8!)/(9!))x((53!/53!)/(0!)) 24,310 2,675,176.00

10 Spot

Formula for determining total possibilities - (70!/60!)/(10!) = 396,704,524,216.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/43!)/(10!)) 19,499,099,620 20.34
1 ((17!/16!)/(1!))x((53!/44!)/(9!)) 75,337,430,350 5.27
2 ((17!/15!)/(2!))x((53!/45!)/(8!)) 120,539,888,560 3.29
3 ((17!/14!)/(3!))x((53!/46!)/(7!)) 104,817,294,400 3.78
4 ((17!/13!)/(4!))x((53!/47!)/(6!)) 54,638,802,400 7.26
5 ((17!/12!)/(5!))x((53!/48!)/(5!)) 17,757,610,780 22.34
6 ((17!/11!)/(6!))x((53!/49!)/(4!)) 3,624,002,200 109.47
7 ((17!/10!)/(7!))x((53!/50!)/(3!)) 455,588,848 870.75
8 ((17!/9!)/(8!))x((53!/51!)/(2!)) 33,499,180 11,842.22
9 ((17!/8!)/(9!))x((53!/52!)/(1!)) 1,288,430 307,897.62
10 ((17!/7!)/(10!))x((53!/53!)/(0!)) 19,448 20,398,217.00

11 Spot

Formula for determining total possibilities - (70!/59!)/(11!) = 2,163,842,859,360.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/42!)/(11!)) 76,223,753,060 28.39
1 ((17!/16!)/(1!))x((53!/43!)/(10!)) 331,484,693,540 6.53
2 ((17!/15!)/(2!))x((53!/44!)/(9!)) 602,699,442,800 3.59
3 ((17!/14!)/(3!))x((53!/45!)/(8!)) 602,699,442,800 3.59
4 ((17!/13!)/(4!))x((53!/46!)/(7!)) 366,860,530,400 5.90
5 ((17!/12!)/(5!))x((53!/47!)/(6!)) 142,060,886,240 15.23
6 ((17!/11!)/(6!))x((53!/48!)/(5!)) 35,515,221,560 60.93
7 ((17!/10!)/(7!))x((53!/49!)/(4!)) 5,694,860,600 379.96
8 ((17!/9!)/(8!))x((53!/50!)/(3!)) 569,486,060 3,799.64
9 ((17!/8!)/(9!))x((53!/51!)/(2!)) 33,499,180 64,593.91
10 ((17!/7!)/(10!))x((53!/52!)/(1!)) 1,030,744 2,099,301.92
11 ((17!/6!)/(11!))x((53!/53!)/(0!)) 12,376 174,841,860.00

12 Spot

Formula for determining total possibilities - (70!/58!)/(12!) = 10,638,894,058,520.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/41!)/(12!)) 266,783,135,710 39.88
1 ((17!/16!)/(1!))x((53!/42!)/(11!)) 1,295,803,802,020 8.21
2 ((17!/15!)/(2!))x((53!/43!)/(10!)) 2,651,877,548,320 4.01
3 ((17!/14!)/(3!))x((53!/44!)/(9!)) 3,013,497,214,000 3.53
4 ((17!/13!)/(4!))x((53!/45!)/(8!)) 2,109,448,049,800 5.04
5 ((17!/12!)/(5!))x((53!/46!)/(7!)) 953,837,379,040 11.15
6 ((17!/11!)/(6!))x((53!/47!)/(6!)) 284,121,772,480 37.44
7 ((17!/10!)/(7!))x((53!/48!)/(5!)) 55,809,633,880 190.63
8 ((17!/9!)/(8!))x((53!/49!)/(4!)) 7,118,575,750 1,494.53
9 ((17!/8!)/(9!))x((53!/50!)/(3!)) 569,486,060 18,681.57
10 ((17!/7!)/(10!))x((53!/51!)/(2!)) 26,799,344 396,983.38
11 ((17!/6!)/(11!))x((53!/52!)/(1!)) 655,928 16,219,606.51
12 ((17!/5!)/(12!))x((53!/53!)/(0!)) 6,188 1,719,278,290.00

13 Spot

Formula for determining total possibilities - (70!/57!)/(13!) = 47,465,835,030,320.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/40!)/(13!)) 841,392,966,470 56.41
1 ((17!/16!)/(1!))x((53!/41!)/(12!)) 4,535,313,307,070 10.47
2 ((17!/15!)/(2!))x((53!/42!)/(11!)) 10,366,430,416,160 4.58
3 ((17!/14!)/(3!))x((53!/43!)/(10!)) 13,259,387,741,600 3.58
4 ((17!/13!)/(4!))x((53!/44!)/(9!)) 10,547,240,249,000 4.50
5 ((17!/12!)/(5!))x((53!/45!)/(8!)) 5,484,564,929,480 8.65
6 ((17!/11!)/(6!))x((53!/46!)/(7!)) 1,907,674,758,080 24.88
7 ((17!/10!)/(7!))x((53!/47!)/(6!)) 446,477,071,040 106.31
8 ((17!/9!)/(8!))x((53!/48!)/(5!)) 69,762,042,350 680.40
9 ((17!/8!)/(9!))x((53!/49!)/(4!)) 7,118,575,750 6,667.88
10 ((17!/7!)/(10!))x((53!/50!)/(3!)) 455,588,848 104,185.68
11 ((17!/6!)/(11!))x((53!/51!)/(2!)) 17,054,128 2,783,246.09
12 ((17!/5!)/(12!))x((53!/52!)/(1!)) 327,964 144,728,796.55
13 ((17!/4!)/(13!))x((53!/53!)/(0!)) 2,380 19,143,628,164.00

14 Spot

Formula for determining total possibilities - (70!/56!)/(14!) = 193,253,756,909,160.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/39!)/(14!)) 2,403,979,904,200 80.39
1 ((17!/16!)/(1!))x((53!/40!)/(13!)) 14,303,680,429,990 13.51
2 ((17!/16!)/(2!))x((53!/41!)/(12!)) 36,282,506,456,560 5.33
3 ((17!/14!)/(3!))x((53!/42!)/(11!)) 51,832,152,080,800 3.73
4 ((17!/13!)/(4!))x((53!/43!)/(10!)) 46,407,857,095,600 4.16
5 ((17!/12!)/(5!))x((53!/44!)/(9!)) 27,422,824,647,400 7.05
6 ((17!/11!)/(8!))x((53!/45!)/(8!)) 10,969,129,858,960 17.62
7 ((17!/10!)/(7!))x((53!/46!)/(7!)) 2,997,774,619,840 64.47
8 ((17!/9!)/(8!))x((53!/47!)/(6!)) 558,096,338,800 346.27
9 ((17!/8!)/(9!))x((53!/48!)/(5!)) 69,762,042,350 2,770.18
10 ((17!/7!)/(10!))x((53!/49!)/(4!)) 5,694,860,600 33,934.77
11 ((17!/6!)/(11!))x((53!/50!)/(3!)) 289,920,176 666,575.74
12 ((17!/5!)/(12!))x((53!/51!)/(2!)) 8,527,064 22,663,575.28
13 ((17!/4!)/(13!))x((53!/52!)/(1!)) 126,140 1,532,057,689.15
14 ((17!/3!)/(14!))x((53!/53!)/(0!)) 680 284,196,701,337.00

15 Spot

Formula for determining total possibilities - (70!/55!)/(15!) = 721,480,692,460,864.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/38!)/(15!)) 6,250,347,750,920 115.43
1 ((17!/16!)/(1!))x((53!/39!)/(14!)) 40,867,658,371,400 17.65
2 ((17!/15!)/(2!))x((53!/40!)/(13!)) 114,429,443,439,920 6.31
3 ((17!/14!)/(3!))x((53!/41!)/(12!)) 181,412,532,282,800 3.98
4 ((17!/13!)/(4!))x((53!/42!)/(11!)) 181,412,532,282,800 3.98
5 ((17!/12!)/(5!))x((53!/43!)/(10!)) 120,660,428,448,560 5.98
6 ((17!/11!)/(6!))x((53!/44!)/(9!)) 54,845,649,294,800 13.15
7 ((17!/10!)/(7!))x((53!/45!)/(8!)) 17,237,204,064,080 41.86
8 ((17!/9!)/(8!))x((53!/46!)/(7!)) 3,747,218,274,800 192.54
9 ((17!/8!)/(9!))x((53!/47!)/(6!)) 558,096,338,800 1,292.75
10 ((17!/7!)/(10!))x((53!/48!)/(5!)) 55,809,633,880 12,927.53
11 ((17!/6!)/(11!))x((53!/49!)/(4!)) 3,624,002,200 199,083.96
12 ((17!/5!)/(12!))x((53!/50!)/(3!)) 144,960,088 4,977,098.89
13 ((17!/4!)/(13!))x((53!/51!)/(2!)) 3,279,640 219,987,770.75
14 ((17!/3!)/(14!))x((53!/52!)/(1!)) 36,040 20,018,887,138.20
15 ((17!/2!)/(15!))x((53!/53!)/(0!)) 136 5,305,005,091,624.00

16 Spot

Formula for determining total possibilities - (70!/54!)/(16!) = 2,480,089,880,334,220.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/37!)/(16!)) 14,844,575,908,435 167.07
1 ((17!/16!)/(1!))x((53!/38!)/(15!)) 106,255,911,765,640 23.34
2 ((17!/15!)/(2!))x((53!/39!)/(14!)) 326,941,266,971,200 7.59
3 ((17!/14!)/(3!))x((53!/40!)/(13!)) 572,147,217,199,600 4.33
4 ((17!/13!)/(4!))x((53!/41!)/(12!)) 634,943,862,989,800 3.91
5 ((17!/12!)/(5!))x((53!/42!)/(11!)) 471,672,583,935,280 5.26
6 ((17!/11!)/(6!))x((53!/43!)/(10!)) 241,320,856,897,120 10.28
7 ((17!/10!)/(7!))x((53!/44!)/(9!)) 86,186,020,320,400 28.78
8 ((17!/9!)/(8!))x((53!/45!)/(8!)) 21,546,505,080,100 115.10
9 ((17!/8!)/(9!))x((53!/46!)/(7!)) 3,747,218,274,800 661.85
10 ((17!/7!)/(10!))x((53!/47!)/(6!)) 446,477,071,040 5,554.80
11 ((17!/6!)/(11!))x((53!/48!)/(5!)) 35,515,221,560 69,831.74
12 ((17!/5!)/(12!))x((53!/49!)/(4!)) 1,812,001,100 1,368,702.19
13 ((17!/4!)/(13!))x((53!/50!)/(3!)) 55,753,880 44,482,821.29
14 ((17!/3!)/(14!))x((53!/51!)/(2!)) 937,040 2,646,727,866.83
15 ((17!/2!)/(15!))x((53!/52!)/(1!)) 7,208 344,074,622,687.88
16 ((17!/1!)/(16!))x((53!/53!)/(0!)) 17 145,887,640,019,660.00

17 Spot

Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,632.

Hits Formula Possibilities Odds - 1::
0 ((17!/17!)/(0!))x((53!/36!)/(17!)) 32,308,782,859,535 243.83
1 ((17!/16!)/(1!))x((53!/37!)/(16!)) 252,357,790,443,395 31.22
2 ((17!/15!)/(2!))x((53!/38!)/(15!)) 850,047,294,125,120 9.27
3 ((17!/14!)/(3!))x((53!/39!)/(14!)) 1,634,706,334,856,000 4.82
4 ((17!/13!)/(4!))x((53!/40!)/(13!)) 2,002,515,260,198,600 3.93
5 ((17!/12!)/(5!))x((53!/41!)/(12!)) 1,650,854,043,773,480 4.77
6 ((17!/11!)/(6!))x((53!/42!)/(11!)) 943,345,167,870,560 8.35
7 ((17!/10!)/(7!))x((53!/43!)/(10!)) 379,218,489,409,760 20.77
8 ((17!/9!)/(8!))x((53!/44!)/(9!)) 107,732,525,400,500 73.12
9 ((17!/8!)/(9!))x((53!/45!)/(8!)) 21,546,505,080,100 365.62
10 ((17!/7!)/(10!))x((53!/46!)/(7!)) 2,997,774,619,840 2,627.93
11 ((17!/6!)/(11!))x((53!/47!)/(6!)) 284,121,772,480 27,727.31
12 ((17!/5!)/(12!))x((53!/48!)/(5!)) 17,757,610,780 443,636.97
13 ((17!/4!)/(13!))x((53!/49!)/(4!)) 696,923,500 11,303,869.88
14 ((17!/3!)/(14!))x((53!/50!)/(3!)) 15,929,680 494,544,307.30
15 ((17!/2!)/(15!))x((53!/51!)/(2!)) 187,408 42,036,266,120.24
16 ((17!/1!)/(16!))x((53!/52!)/(1!)) 901 8,743,543,353,009.59
17 ((17!/0!)/(17!))x((53!/53!)/(0!)) 1 7,877,932,561,061,632.00

Top/Bottom, Left/Right and Odd/Even

Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,632.

Some games will give the player the option of splitting the playslip in half, (either horizontally or vertically, depending on how the playslip is configured) and pay according to the distribution of drawn numbers in any half. Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.

Hits Formula Possibilities Odds - 1::
0 of 35 ((35!/35!)/(0!))x((35!/18!)/(17!)) 4,537,567,650 1,736,157.60
1 of 35 ((35!/34!)/(1!))x((35!/19!)/(16!)) 142,097,513,250 55,440.33
2 of 35 ((35!/33!)/(2!))x((35!/20!)/(15!)) 1,932,526,180,200 4,076.49
3 of 35 ((35!/32!)/(3!))x((35!/21!)/(14!)) 15,184,134,273,000 518.83
4 of 35 ((35!/31!)/(4!))x((35!/22!)/(13!)) 77,301,047,208,000 101.91
5 of 35 ((35!/30!)/(5!))x((35!/23!)/(12!)) 270,889,756,737,600 29.08
6 of 35 ((35!/29!)/(6!))x((35!/24!)/(11!)) 677,224,391,844,000 11.63
7 of 35 ((35!/28!)/(7!))x((35!/25!)/(10!)) 1,234,483,319,989,920 6.38
8 of 35 ((35!/27!)/(8!))x((35!/26!)/(9!)) 1,661,804,469,217,200 4.74
9 of 35 ((35!/26!)/(9!))x((35!/27!)/(8!)) 1,661,804,469,217,200 4.74
10 of 35 ((35!/25!)/(10!))x((35!/28!)/(7!)) 1,234,483,319,989,920 6.38
11 of 35 ((35!/24!)/(11!))x((35!/29!)/(6!)) 677,224,391,844,000 11.63
12 of 35 ((35!/23!)/(12!))x((35!/30!)/(5!)) 270,889,756,737,600 29.08
13 of 35 ((35!/22!)/(13!))x((35!/31!)/(4!)) 77,301,047,208,000 101.91
14 of 35 ((35!/21!)/(14!))x((35!/32!)/(3!)) 15,184,134,273,000 518.83
15 of 35 ((35!/20!)/(15!))x((35!/33!)/(2!)) 1,932,526,180,200 4,076.49
16 of 35 ((35!/19!)/(16!))x((35!/34!)/(1!)) 142,097,513,250 55,440.33
17 of 35 ((35!/18!)/(17!))x((35!/35!)/(0!)) 4,537,567,650 1,736,157.60

Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 8 or 9 spots on top or bottom, left or right, and odd or even (or combinations like 7-10, 6-11, 5-12, 4-13, 3-14, 2-15, 1-16 and 0-17), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved.

Edge and Inside/Outside

The 70-number Keno board is displayed with either seven rows of ten numbers each or ten rows of seven numbers each. In either case the outer edge (hence the name) will be composed of 30 numbers.

Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,632.

Hits Formula Possibilities Odds - 1::
0 of 30 ((30!/30!)/(0!))x((40!/23!)/(17!)) 88,732,378,800 88,783.07
1 of 30 ((30!/29!)/(1!))x((40!/24!)/(16!)) 1,885,563,049,500 4,178.03
2 of 30 ((30!/28!)/(2!))x((40!/25!)/(15!)) 17,498,025,099,360 450.22
3 of 30 ((30!/27!)/(3!))x((40!/26!)/(14!)) 94,220,135,150,400 83.61
4 of 30 ((30!/26!)/(4!))x((40!/27!)/(13!)) 329,770,473,026,400 23.89
5 of 30 ((30!/25!)/(5!))x((40!/28!)/(12!)) 796,160,142,020,880 9.89
6 of 30 ((30!/24!)/(6!))x((40!/29!)/(11!)) 1,372,689,900,036,000 5.74
7 of 30 ((30!/23!)/(7!))x((40!/30!)/(10!)) 1,725,667,302,902,400 4.57
8 of 30 ((30!/22!)/(8!))x((40!/31!)/(9!)) 1,600,417,256,724,000 4.92
9 of 30 ((30!/21!)/(9!))x((40!/32!)/(8!)) 1,100,286,863,997,750 7.16
10 of 30 ((30!/20!)/(10!))x((40!/33!)/(7!)) 560,146,039,853,400 14.06
11 of 30 ((30!/19!)/(11!))x((40!/34!)/(6!)) 209,680,335,774,000 37.57
12 of 30 ((30!/18!)/(12!))x((40!/35!)/(5!)) 56,913,233,995,800 138.42
13 of 30 ((30!/17!)/(13!))x((40!/36!)/(4!)) 10,944,852,691,500 719.78
14 of 30 ((30!/16!)/(14!))x((40!/37!)/(3!)) 1,436,776,029,000 5,483.06
15 of 30 ((30!/15!)/(15!))x((40!/38!)/(2!)) 120,991,665,600 65,111.37
16 of 30 ((30!/14!)/(16!))x((40!/39!)/(1!)) 5,816,907,000 1,354,316.40
17 of 30 ((30!/13!)/(17!))x((40!/40!)/(0!)) 119,759,850 65,781,082.40

Keno Computation Tables - 10 Numbers Drawn From a 50-Number Board

Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.

1 Spot

Formula for determining total possibilities - (50!/49!)/(1!) = 50.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/39!)/(1!)) 40 1.25
1 ((10!/9!)/(1!))x((40!/40!)/(0!)) 10 5.00

2 Spot

Formula for determining total possibilities - (50!/48!)/(2!) = 1,225.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/38!)/(2!)) 780 1.57
1 ((10!/9!)/(1!))x((40!/39!)/(1!)) 400 3.06
2 ((10!/8!)/(2!))x((40!/40!)/(0!)) 45 27.22

3 Spot

Formula for determining total possibilities - (50!/47!)/(3!) = 19,600.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/37!)/(3!)) 9,880 1.98
1 ((10!/9!)/(1!))x((40!/38!)/(2!)) 7,800 2.51
2 ((10!/8!)/(2!))x((40!/39!)/(1!)) 1,800 10.89
3 ((10!/7!)/(3!))x((40!/40!)/(0!)) 120 163.33

4 Spot

Formula for determining total possibilities - (50!/46!)/(4!) = 230,300.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/36!)/(4!)) 91,390 2.52
1 ((10!/9!)/(1!))x((40!/37!)/(3!)) 98,800 2.33
2 ((10!/8!)/(2!))x((40!/38!)/(2!)) 35,100 6.56
3 ((10!/7!)/(3!))x((40!/39!)/(1!)) 4,800 47.98
4 ((10!/6!)/(4!))x((40!/40!)/(0!)) 210 1,096.67

5 Spot

Formula for determining total possibilities - (50!/45!)/(5!) = 2,118,760.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/35!)/(5!)) 658,008 3.22
1 ((10!/9!)/(1!))x((40!/36!)/(4!)) 913,900 2.32
2 ((10!/8!)/(2!))x((40!/37!)/(3!)) 444,600 4.77
3 ((10!/7!)/(3!))x((40!/38!)/(2!)) 93,600 22.64
4 ((10!/6!)/(4!))x((40!/39!)/(1!)) 8,400 252.23
5 ((10!/5!)/(5!))x((40!/40!)/(0!)) 252 8,407.78

6 Spot

Formula for determining total possibilities - (50!/44!)/(6!) = 15,890,700.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/34!)/(6!)) 3,838,380 4.14
1 ((10!/9!)/(1!))x((40!/35!)/(5!)) 6,580,080 2.41
2 ((10!/8!)/(2!))x((40!/36!)/(4!)) 4,112,580 3.86
3 ((10!/7!)/(3!))x((40!/37!)/(3!)) 1,185,600 13.40
4 ((10!/6!)/(4!))x((40!/38!)/(2!)) 163,800 97.01
5 ((10!/5!)/(5!))x((40!/39!)/(1!)) 10,080 1,576.46
6 ((10!/4!)/(6!))x((40!/40!)/(0!)) 210 75,670,00

7 Spot

Formula for determining total possibilities - (50!/43!)/(7!) = 99,884,400.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/33!)/(7!)) 18,643,560 5.36
1 ((10!/9!)/(1!))x((40!/34!)/(6!)) 38,383,800 2.60
2 ((10!/8!)/(2!))x((40!/35!)/(5!)) 29,610,360 3.37
3 ((10!/7!)/(3!))x((40!/36!)/(4!)) 10,966,800 9.11
4 ((10!/6!)/(4!))x((40!/37!)/(3!)) 2,074,800 48.14
5 ((10!/5!)/(5!))x((40!/38!)/(2!)) 196,560 508.16
6 ((10!/4!)/(6!))x((40!/39!)/(1!)) 8,400 11,891.00
7 ((10!/3!)/(7!))x((40!/40!)/(0!)) 120 832,370.00

8 Spot

Formula for determining total possibilities - (50!/42!)/(8!) = 536,878,650.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/32!)/(8!)) 76,904,685 6.98
1 ((10!/9!)/(1!))x((40!/33!)/(7!)) 186,435,600 2.88
2 ((10!/8!)/(2!))x((40!/34!)/(6!)) 172,727,100 3.11
3 ((10!/7!)/(3!))x((40!/35!)/(5!)) 78,960,960 6.80
4 ((10!/6!)/(4!))x((40!/36!)/(4!)) 19,191,900 27.97
5 ((10!/5!)/(5!))x((40!/37!)/(3!)) 2,489,760 215.63
6 ((10!/4!)/(6!))x((40!/38!)/(2!)) 163,800 3,277.65
7 ((10!/3!)/(7!))x((40!/39!)/(1!)) 4,800 111,849.72
8 ((10!/2!)/(8!))x((40!/40!)/(0!)) 45 11,930,636.67

9 Spot

Formula for determining total possibilities - (50!/41!)/(9!) = 2,505,433,700.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/31!)/(9!)) 273,438,880 9.16
1 ((10!/9!)/(1!))x((40!/32!)/(8!)) 769,046,850 3.26
2 ((10!/8!)/(2!))x((40!/33!)/(7!)) 838,960,200 2.99
3 ((10!/7!)/(3!))x((40!/34!)/(6!)) 460,605,600 5.44
4 ((10!/6!)/(4!))x((40!/35!)/(5!)) 138,181,680 18.13
5 ((10!/5!)/(5!))x((40!/36!)/(4!)) 23,030,280 108.79
6 ((10!/4!)/(6!))x((40!/37!)/(3!)) 2,074,800 1,207.55
7 ((10!/3!)/(7!))x((40!/38!)/(2!)) 93,600 26,767.45
8 ((10!/2!)/(8!))x((40!/39!)/(1!)) 1,800 1,391,907.61
9 ((10!/1!)/(9!))x((40!/40!)/(0!)) 10 250,543,370.00

10 Spot

Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((40!/30!)/(10!)) 847,660,528 12.12
1 ((10!/9!)/(1!))x((40!/31!)/(9!)) 2,734,388,800 3.76
2 ((10!/8!)/(2!))x((40!/32!)/(8!)) 3,460,710,825 2.97
3 ((10!/7!)/(3!))x((40!/33!)/(7!)) 2,237,227,200 4.59
4 ((10!/6!)/(4!))x((40!/34!)/(6!)) 806,059,800 12.74
5 ((10!/5!)/(5!))x((40!/35!)/(5!)) 165,818,016 61.95
6 ((10!/4!)/(6!))x((40!/36!)/(4!)) 19,191,900 535.24
7 ((10!/3!)/(7!))x((40!/37!)/(3!)) 1,185,600 8,664.20
8 ((10!/2!)/(8!))x((40!/38!)/(2!)) 35,100 292,657.50
9 ((10!/1!)/(9!))x((40!/39!)/(1!)) 400 25,680,695.43
10 ((10!/0!)/(10!))x((40!/40!)/(0!)) 1 10,272,278,170.00

Top/Bottom, Left/Right and Odd/Even

Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170

Some games will give the player the option of splitting the playslip in half, either horizontally or vertically, and pay according to the distribution of drawn numbers in any half.
Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.

Hits Formula Possibilities Odds - 1::
0 of 25 ((25!/25!)/(0!))x((25!/15!)/(10!)) 3,268,760 3,142.56
1 of 25 ((25!/24!)/(1!))x((25!/16!)/(9!)) 51,074,375 201.12
2 of 25 ((25!/23!)/(2!))x((25!/17!)/(8!)) 324,472,500 31.66
3 of 25 ((25!/22!)/(3!))x((25!/18!)/(7!)) 1,105,610,000 9.29
4 of 25 ((25!/21!)/(4!))x((25!/19!)/(6!)) 2,240,315,000 4.59
5 of 25 ((25!/20!)/(5!))x((25!/20!)/(5!)) 2,822,796,900 3.64
6 of 25 ((25!/19!)/(6!))x((25!/21!)/(4!)) 2,240,315,000 4.59
7 of 25 ((25!/18!)/(7!))x((25!/22!)/(3!)) 1,105,610,000 9.29
8 of 25 ((25!/17!)/(8!))x((25!/23!)/(2!)) 324,472,500 31.66
9 of 25 ((25!/16!)/(9!))x((25!/24!)/(1!)) 51,074,375 201.12
10 of 25 ((25!/15!)/(10!))x((25!/25!)/(0!)) 3,268,760 3,142.56

Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 4 or 6 spots on top or bottom, left or right, and odd or even (or combinations like 3-7, 2-8, 1-9, and 0-10), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved. The 5, however, is unique.

Top, Middle or Bottom

Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.

Some games will give the bettor the option of selecting which area of the board into which the majority of the 20 drawn numbers will fall or, as an alternative, allow the bettor to wager that 10 numbers will fall on either side of the board.

Hits Formula Possibilities Odds - 1::
<5 of 10 (Calculated) 3,724,740,635 2.76
5 of 10 ((25!/20!)/(5!))x((25!/20!)/(5!)) 2,822,796,900 3.64
>5 of 10 (Calculated) 3,724,740,635 2.76

Edge and Inside/Outside

The 50-number Keno board is displayed with either five rows of ten numbers each or ten rows of five numbers each. In either case the outer edge (hence the name) will be composed of 26 numbers.

Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.

Hits Formula Possibilities Odds - 1::
0 of 26 ((26!/26!)/(0!))x((24!/14!)/(10!)) 1,961,256 5,237,60
1 of 26 ((26!/25!)/(1!))x((24!/15!)/(9!)) 33,995,104 302.17
2 of 26 ((26!/24!)/(2!))x((24!/16!)/(8!)) 239,028,075 42.98
3 of 26 ((26!/23!)/(3!))x((24!/17!)/(7!)) 899,870,400 11.42
4 of 26 ((26!/22!)/(4!))x((24!/18!)/(6!)) 2,012,210,200 5.10
5 of 26 ((26!/21!)/(5!))x((24!/19!)/(5!)) 2,795,913,120 3.67
6 of 26 ((26!/20!)/(6!))x((24!/20!)/(4!)) 2,446,423,980 4.20
7 of 26 ((26!/19!)/(7!))x((24!/21!)/(3!)) 1,331,387,200 7.72
8 of 26 ((26!/18!)/(8!))x((24!/22!)/(2!)) 431,187,900 23.82
9 of 26 ((26!/17!)/(9!))x((24!/23!)/(1!)) 74,989,200 136.98
10 of 26 ((26!/16!)/(10!))x((24!/24!)/(0!)) 5,311,735 1,933.88

Keno Computation Tables - 10 Numbers Drawn From a 49-Number Board

Formula for determining total possibilities - (49!/39!)/(10!) = 8,217,822,536.

1 Spot

Formula for determining total possibilities - (49!/48!)/(1!) = 49.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/38!)/(1!)) 39 1.26
1 ((10!/9!)/(1!))x((39!/39!)/(0!)) 10 4.90

2 Spot

Formula for determining total possibilities - (49!/47!)/(2!) = 1,176.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/37!)/(2!)) 741 1.59
1 ((10!/9!)/(1!))x((39!/38!)/(1!)) 390 3.02
2 ((10!/8!)/(2!))x((39!/39!)/(0!)) 45 26.13

3 Spot

Formula for determining total possibilities - (49!/46!)/(3!) = 18,424.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/36!)/(3!)) 9,139 2.02
1 ((10!/9!)/(1!))x((39!/37!)/(2!)) 7,410 2.49
2 ((10!/8!)/(2!))x((39!/38!)/(1!)) 1,755 10.50
3 ((10!/7!)/(3!))x((39!/39!)/(0!)) 120 153.53

4 Spot

Formula for determining total possibilities - (49!/45!)/(4!) = 211,876.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/35!)/(4!)) 82,251 2.58
1 ((10!/9!)/(1!))x((39!/36!)/(3!)) 91,390 2.32
2 ((10!/8!)/(2!))x((39!/37!)/(2!)) 33,345 6.35
3 ((10!/7!)/(3!))x((39!/38!)/(1!)) 4,680 45.27
4 ((10!/6!)/(4!))x((39!/39!)/(0!)) 210 1,008.93

5 Spot

Formula for determining total possibilities - (49!/44!)/(5!) = 1,906,884.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/34!)/(5!)) 575,757 3.31
1 ((10!/9!)/(1!))x((39!/35!)/(4!)) 822,510 2.32
2 ((10!/8!)/(2!))x((39!/36!)/(3!)) 411,255 4.64
3 ((10!/7!)/(3!))x((39!/37!)/(2!)) 88,920 21.44
4 ((10!/6!)/(4!))x((39!/38!)/(1!)) 8,190 232.83
5 ((10!/5!)/(5!))x((39!/39!)/(0!)) 252 7,567.00

6 Spot

Formula for determining total possibilities - (49!/43!)/(6!) = 13,983,816.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/33!)/(6!)) 3,262,623 4.29
1 ((10!/9!)/(1!))x((39!/34!)/(5!)) 5,757,570 2.43
2 ((10!/8!)/(2!))x((39!/35!)/(4!)) 3,701,295 3.78
3 ((10!/7!)/(3!))x((39!/36!)/(3!)) 1,096,680 12.75
4 ((10!/6!)/(4!))x((39!/37!)/(2!)) 155,610 89.86
5 ((10!/5!)/(5!))x((39!/38!)/(1!)) 9,828 1,422.85
6 ((10!/4!)/(6!))x((40!/40!)/(0!)) 210 66,589,60

7 Spot

Formula for determining total possibilities - (49!/42!)/(7!) = 85,900,584.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/32!)/(7!)) 15,380,937 5.58
1 ((10!/9!)/(1!))x((39!/33!)/(6!)) 32,626,230 2.63
2 ((10!/8!)/(2!))x((39!/34!)/(5!)) 25,909,065 3.32
3 ((10!/7!)/(3!))x((39!/35!)/(4!)) 9,870,120 8.70
4 ((10!/6!)/(4!))x((39!/36!)/(3!)) 1,919,190 44.76
5 ((10!/5!)/(5!))x((39!/37!)/(2!)) 186,732 460.02
6 ((10!/4!)/(6!))x((39!/38!)/(1!)) 8,190 10,488.47
7 ((10!/3!)/(7!))x((40!/40!)/(0!)) 120 715,838.20

8 Spot

Formula for determining total possibilities - (49!/41!)/(8!) = 450,978,066.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/31!)/(8!)) 61,523,748 7.33
1 ((10!/9!)/(1!))x((39!/32!)/(7!)) 153,809,370 2.93
2 ((10!/8!)/(2!))x((39!/33!)/(6!)) 146,818,035 3.07
3 ((10!/7!)/(3!))x((39!/34!)/(5!)) 69,090,840 6.53
4 ((10!/6!)/(4!))x((39!/35!)/(4!)) 17,272,710 26.11
5 ((10!/5!)/(5!))x((39!/36!)/(3!)) 2,303,028 195.82
6 ((10!/4!)/(6!))x((39!/37!)/(2!)) 155,610 2,898.13
7 ((10!/3!)/(7!))x((39!/38!)/(1!)) 4,680 96,362.83
8 ((10!/2!)/(8!))x((39!/39!)/(0!)) 45 10,021,734.80

9 Spot

Formula for determining total possibilities - (49!/40!)/(9!) = 2,054,455,634.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/30!)/(9!)) 211,915,132 9.69
1 ((10!/9!)/(1!))x((39!/31!)/(8!)) 615,237,480 3.34
2 ((10!/8!)/(2!))x((39!/32!)/(7!)) 692,142,165 2.97
3 ((10!/7!)/(3!))x((39!/33!)/(6!)) 391,514,760 5.25
4 ((10!/6!)/(4!))x((39!/34!)/(5!)) 120,908,970 16.99
5 ((10!/5!)/(5!))x((39!/35!)/(4!)) 20,727,252 99.12
6 ((10!/4!)/(6!))x((39!/36!)/(3!)) 1,919,190 1,070.48
7 ((10!/3!)/(7!))x((39!/37!)/(2!)) 88,920 23,104,54
8 ((10!/2!)/(8!))x((39!/38!)/(1!)) 1,755 1,170,629.99
9 ((10!/1!)/(9!))x((39!/39!)/(0!)) 10 205,445,563.40

10 Spot

Formula for determining total possibilities - (49!/39!)/(10!) = 8,217,822,536.

Hits Formula Possibilities Odds - 1::
0 ((10!/10!)/(0!))x((39!/29!)/(10!)) 635,745,396 12.93
1 ((10!/9!)/(1!))x((39!/30!)/(9!)) 2,119,151,320 3.88
2 ((10!/8!)/(2!))x((39!/31!)/(8!)) 2,768,568,660 2.97
3 ((10!/7!)/(3!))x((39!/32!)/(7!)) 1,845,712,440 4.45
4 ((10!/6!)/(4!))x((39!/33!)/(6!)) 685,150,830 11.99
5 ((10!/5!)/(5!))x((39!/34!)/(5!)) 145,090,764 56.64
6 ((10!/4!)/(6!))x((39!/35!)/(4!)) 17,272,710 475.77
7 ((10!/3!)/(7!))x((39!/36!)/(3!)) 1,096,680 7,493.36
8 ((10!/2!)/(8!))x((39!/37!)/(2!)) 33,345 246,448.42
9 ((10!/1!)/(9!))x((40!/39!)/(1!)) 390 21,071,339.84
10 ((10!/0!)/(10!))x((40!/40!)/(0!)) 1 8,217,822,536.00

Edge and Inside/Outside

The 49-number Keno board is probably displayed with seven rows of seven numbers each. The outer edge (hence the name) will be composed of 24 numbers.

Formula for determining total possibilities - (49!/39!)/(10!) = 8,217,822,536.

Hits Formula Possibilities Odds - 1::
0 of 24 ((24!/24!)/(0!))x((25!/15!)/(10!)) 3,268,270 2,514.05
1 of 24 ((24!/23!)/(1!))x((25!/16!)/(9!)) 49,031,400 167.60
2 of 24 ((24!/22!)/(2!))x((25!/17!)/(8!)) 298,514,705 27.53
3 of 24 ((24!/21!)/(3!))x((25!/18!)/(7!)) 972,936,800 8.45
4 of 24 ((24!/20!)/(4!))x((25!/19!)/(6!)) 1,881,864,600 4.37
5 of 24 ((24!/19!)/(5!))x((25!/20!)/(5!)) 2,258,237,520 3.64
6 of 24 ((24!/18!)/(6!))x((25!/21!)/(4!)) 1,702,639,400 4.83
7 of 24 ((24!/17!)/(7!))x((25!/22!)/(3!)) 796,039,200 10.32
8 of 24 ((24!/16!)/(8!))x((25!/23!)/(2!)) 220,641,300 37.25
9 of 24 ((24!/15!)/(9!))x((25!/24!)/(1!)) 32,687,600 251.40
10 of 24 ((24!/14!)/(10!))x((25!/25!)/(0!)) 1,961,256 4,190.08

=^.^=