Keno Probabilities and Odds Tables

The tables below were calculated using the second formula described on the Keno Odds and Probabilities page where the total number of combinations equals ⁸⁰C_n (n = Spots or number of selections by player).

Spot 1
Match	Frequency	Probability	Odds (to 1)
0	60	0.75000000000000	0.33
1	20	0.25000000000000	3.00
Total	80	1.00000000000000

Spot 2
Match	Frequency	Probability	Odds (to 1)
0	1,770	0.56012658227848	0.79
1	1,200	0.37974683544304	1.63
2	190	0.06012658227848	15.63
Total	3,160	1.00000000000000

Spot 3
Match	Frequency	Probability	Odds (to 1)
0	34,220	0.41650438169426	1.40
1	35,400	0.43086660175268	1.32
2	11,400	0.13875365141188	6.21
3	1,140	0.01387536514119	71.07
Total	82,160	1.00000000000000

Spot 4
Match	Frequency	Probability	Odds (to 1)
0	487,635	0.30832142541003	2.24
1	684,400	0.43273182513689	1.31
2	336,300	0.21263546580002	3.70
3	68,400	0.04324789134916	22.12
4	4,845	0.00306339230390	325.44
Total	1,581,580	1.00000000000000

Spot 5
Match	Frequency	Probability	Odds (to 1)
0	5,461,512	0.22718420819687	3.40
1	9,752,700	0.40568608606583	1.46
2	6,501,800	0.27045739071056	2.70
3	2,017,800	0.08393505228948	10.91
4	290,700	0.01209233804171	81.70
5	15,504	0.00064492469556	1,549.57
Total	24,040,016	1.00000000000000

Spot 6
Match	Frequency	Probability	Odds (to 1)
0	50,063,860	0.16660175267770	5.00
1	109,230,240	0.36349473311499	1.75
2	92,650,650	0.30832142541003	2.24
3	39,010,800	0.12981954754107	6.70
4	8,575,650	0.02853791777842	34.04
5	930,240	0.00309563853868	322.04
6	38,760	0.00012898493911	7,751.84
Total	300,500,200	1.00000000000000

Spot 7
Match	Frequency	Probability	Odds (to 1)
0	386,206,920	0.12157425195400	7.23
1	1,001,277,200	0.31519250506592	2.17
2	1,037,687,280	0.32665405070468	2.06
3	555,903,900	0.17499324144894	4.71
4	165,795,900	0.05219096674793	18.16
5	27,442,080	0.00863850484104	114.76
6	2,325,600	0.00073207668144	1,364.98
7	77,520	0.00002440255605	40,978.31
Total	3,176,716,400	1.00000000000000

Spot 8
Match	Frequency	Probability	Odds (to 1)
0	2,558,620,845	0.08826623772003	10.33
1	7,724,138,400	0.26646411387178	2.75
2	9,512,133,400	0.32814562171247	2.05
3	6,226,123,680	0.21478622512089	3.66
4	2,362,591,575	0.08150370149677	11.27
5	530,546,880	0.01830258559927	53.64
6	68,605,200	0.00236671365508	421.53
7	4,651,200	0.00016045516306	6,231.27
8	125,970	0.00000434566067	230,113.61
Total	28,987,537,150	1.00000000000000

Spot 9
Match	Frequency	Probability	Odds (to 1)
0	14,783,142,660	0.06374783835335	14.69
1	51,172,416,900	0.22066559430007	3.53
2	73,379,314,800	0.31642613522274	2.16
3	57,072,800,400	0.24610921628435	3.06
4	26,461,025,640	0.11410518209547	7.76
5	7,560,293,040	0.03260148059871	29.67
6	1,326,367,200	0.00571955799977	173.84
7	137,210,400	0.00059167841377	1,689.11
8	7,558,200	0.00003259245500	30,680.95
9	167,960	0.00000072427678	1,380,686.65
Total	231,900,297,200	1.00000000000000

Spot 10
Match	Frequency	Probability	Odds (to 1)
0	75,394,027,566	0.04579070078903	20.84
1	295,662,853,200	0.17957137564325	4.57
2	486,137,960,550	0.29525678110572	2.39
3	440,275,888,800	0.26740236779386	2.74
4	242,559,401,700	0.14731889707162	5.79
5	84,675,282,048	0.05142768770500	18.44
6	18,900,732,600	0.01147939457701	86.11
7	2,652,734,400	0.00161114309853	619.68
8	222,966,900	0.00013541935526	7,383.47
9	10,077,600	0.00000612064883	163,380.37
10	184,756	0.00000011221190	8,911,710.18
Total	1,646,492,110,120	1.00000000000000

Spot 11
Match	Frequency	Probability	Odds (to 1)
0	342,700,125,300	0.03270764342073	29.57
1	1,507,880,551,320	0.14391363105123	5.95
2	2,808,797,105,400	0.26807441078170	2.73
3	2,916,827,763,300	0.27838496504254	2.59
4	1,871,172,527,400	0.17858658134804	4.60
5	776,190,085,440	0.07408035967030	12.50
6	211,688,205,120	0.02020373445554	48.50
7	37,801,465,200	0.00360780972420	276.18
8	4,310,693,400	0.00041141689837	2,429.62
9	297,289,200	0.00002837357920	35,243.06
10	11,085,360	0.00000105799787	945,180.49
11	167,960	0.00000001603027	62,381,977.24
Total	10,477,677,064,400	1.00000000000000

Spot 12
Match	Frequency	Probability	Odds (to 1)
0	1,399,358,844,975	0.02322716706690	42.05
1	6,854,002,506,000	0.11376571624603	7.79
2	14,324,865,237,540	0.23777034695421	3.21
3	16,852,782,632,400	0.27972981994613	2.57
4	12,396,517,994,025	0.20576280024883	3.86
5	5,987,752,087,680	0.09938731483717	9.06
6	1,940,475,213,600	0.03220885203057	30.05
7	423,376,410,240	0.00702738589758	141.30
8	61,427,380,950	0.00101959840032	979.78
9	5,747,591,200	0.00009540101991	10,481.07
10	327,018,120	0.00000542798906	184,229.29
11	10,077,600	0.00000016727239	5,978,271.91
12	125,970	0.00000000209090	478,261,832.14
Total	60,246,643,120,300	1.00000000000000

Spot 13
Match	Frequency	Probability	Odds (to 1)
0	5,166,863,427,600	0.01639564734134	59.99
1	27,987,176,899,500	0.08880975643226	10.26
2	65,113,023,807,000	0.20661861700566	3.84
3	85,949,191,425,240	0.27273657444747	2.67
4	71,624,326,187,700	0.22728047870623	3.40
5	39,668,857,580,880	0.12587841897576	6.94
6	14,969,380,219,200	0.04750129017953	20.05
7	3,880,950,427,200	0.01231514930580	80.20
8	687,986,666,640	0.00218314010421	457.06
9	81,903,174,600	0.00025989763145	3,846.67
10	6,322,350,320	0.00002006227331	49,843.80
11	297,289,200	0.00000094336708	1,060,031.75
12	7,558,200	0.00000002398391	41,694,620.35
13	77,520	0.00000000024599	4,065,225,580.67
Total	315,136,287,090,800	1.00000000000000

Spot 14
Match	Frequency	Probability	Odds (to 1)
0	17,345,898,649,800	0.01150142425437	85.95
1	103,337,268,552,000	0.06851912321754	13.59
2	265,878,180,545,250	0.17629399411180	4.67
3	390,678,142,842,000	0.25904423624590	2.86
4	365,284,063,557,270	0.24220636088992	3.13
5	229,197,843,800,640	0.15197261859760	5.58
6	99,172,143,952,200	0.06575738304704	14.21
7	29,938,760,438,400	0.01985128544816	49.37
8	6,306,544,444,200	0.00418163651802	238.14
9	917,315,555,520	0.00060823803898	1,643.09
10	90,093,492,060	0.00005973766454	16,738.86
11	5,747,591,200	0.00000381101528	262,396.27
12	222,966,900	0.00000014784111	6,764,017.48
13	4,651,200	0.00000000308404	324,250,134.68
14	38,760	0.00000000002570	38,910,016,280.67
Total	1,508,152,231,077,400	1.00000000000000

Spot 15
Match	Frequency	Probability	Odds (to 1)
0	53,194,089,192,720	0.00801614417729	123.75
1	346,917,972,996,000	0.05227920115624	18.13
2	981,704,051,244,000	0.14793901603787	5.76
3	1,595,269,083,271,500	0.24040090106154	3.16
4	1,660,382,107,078,500	0.25021318273752	3.00
5	1,168,909,003,383,264	0.17615008064721	4.68
6	572,994,609,501,600	0.08634807874863	10.58
7	198,344,287,904,400	0.02988971956683	32.46
8	48,650,485,712,400	0.00733144064847	135.40
9	8,408,725,925,600	0.00126716258122	788.16
10	1,009,047,111,072	0.00015205950975	6,575.37
11	81,903,174,600	0.00001234249267	81,019.91
12	4,310,693,400	0.00000064960488	1,539,396.31
13	137,210,400	0.00000002067708	48,362,731.10
14	2,325,600	0.00000000035046	2,853,401,192.99
15	15,504	0.00000000000234	428,010,179,097.33
Total	6,635,869,816,740,560	1.00000000000000

Spot 20
Match	Frequency	Probability	Odds (to 1)
0	4,191,844,505,805,495	0.00118570570132	842.38
1	40,896,043,959,078,000	0.01156786050073	85.45
2	175,755,617,490,799,500	0.04971425762812	19.11
3	441,432,713,697,822,000	0.12486371683343	7.01
4	724,852,581,015,173,625	0.20503189866398	3.88
5	824,721,158,843,930,880	0.23328073803546	3.29
6	672,327,031,666,248,000	0.19017451470282	4.26
7	400,535,252,907,552,000	0.11329545556764	7.83
8	176,277,233,701,500,750	0.04986180205972	19.06
9	57,559,913,045,388,000	0.01628140475419	60.42
10	13,929,498,956,983,896	0.00394009995051	252.80
11	2,482,976,641,173,600	0.00070233510704	1,422.82
12	322,309,467,844,650	0.00009116849947	10,967.70
13	29,938,760,438,400	0.00000846848181	118,083.92
14	1,940,475,213,600	0.00000054888308	1,821,880.63
15	84,675,282,048	0.00000002395126	41,751,452.99
16	2,362,591,575	0.00000000066828	1,496,372,109.87
17	39,010,800	0.00000000001103	90,624,035,963.71
18	336,300	0.00000000000010	10,512,388,171,905.56
19	1,200	0.00000000000000	2,946,096,785,176,811.00
20	1	0.00000000000000	3,535,316,142,212,174,300.00
Total	3,535,316,142,212,174,320	1.00000000000000

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