Bingo Poker Hand
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Introduction

Calculating bingo odds is similar to calculating keno odds. From a probability standpoint, bingo is basically a game of keno where you don't win anything for partial matches. Of course, I am solely talking about the probability of matching a particular pattern as opposed to winning a game of bingo because the probability of winning a bingo game is dependent on how many other people you are competing against.

The flood in bingo prevalence online has made programming designers make more up to date, all the more energizing gaming innovation to interest more youthful players. Today, numerous online pokers have live bingo games which endeavor to bring the social air of a poker or bingo. What’s a Bingo Player in Poker Mean? As a skilled poker player there is nothing more frustrating than sitting next to someone who doesn’t know the first thing about poker. But worse than that is basing Poker play on pure luck with no strategy whatsoever. That is what a “Bingo Player” is at the Poker table. Known for making terrible poker calls with nothing in his hand to back it up is the norm for the Bingo Player as is boasting about what a great skill he or she owns when they win, blaming any.

Calculating bingo odds

Here is the equation for calculating the probability (p) of matching a particular pattern made up of (x) numbers when (y) numbers were drawn out of (z) total numbers (i.e. - 'What is the probability of hitting a pattern made up of 4 particular numbers (e.g. 'corners') when 20 numbers are drawn out of 75?').

p(x,n) = (((combin(x,(x-x)))*combin(z-x,y-x))/combin(z,y))

To calculate different bingo odds, you can download my odds spreadsheet by right-clicking and selecting 'Save target as' to calculate the casino's edge of the keno game you play.

Bingo Odds Table

# of Calls	Cover All	Four corners	'X' pattern
1	-	-	-
2	-	-	-
3	-	-	-
4	-	0.00008%	-
5	-	0.00041%	-
6	-	0.00123%	-
7	-	0.00288%	-
8	-	0.00576%	0.000000006%
9	-	0.01037%	0.000000053%
10	-	0.01728%	0.000000267%
11	-	0.02715%	0.000000978%
12	-	0.04073%	0.000002934%
13	-	0.05883%	0.000007628%
14	-	0.08236%	0.000017800%
15	-	0.11230%	0.000038142%
16	-	0.14974%	0.000076285%
17	-	0.19581%	0.000144093%
18	-	0.25176%	0.000259367%
19	-	0.31889%	0.000447998%
20	-	0.39862%	0.000746663%
21	-	0.49241%	0.001206149%
22	-	0.60183%	0.001895377%
23	-	0.72854%	0.002906244%
24	0.000000000000000004%	0.87424%	0.004359366%
25	0.000000000000000097%	1.04077%	0.006410833%
26	0.000000000000001261%	1.23000%	0.009260091%
27	0.000000000000011347%	1.44391%	0.013159077%
28	0.000000000000079426%	1.68456%	0.018422708%
29	0.000000000000460671%	1.95409%	0.025440883%
30	0.000000000002303355%	2.25472%	0.034692113%
31	0.000000000010200573%	2.58875%	0.046758935%
32	0.000000000040802291%	2.95858%	0.062345246%
33	0.000000000149608400%	3.36665%	0.082295725%
34	0.000000000508668560%	3.81554%	0.107617487%
35	0.000000001618490874%	4.30787%	0.139504149%
36	0.000000004855472621%	4.84635%	0.179362478%
37	0.000000013819422074%	5.43379%	0.228841782%
38	0.000000037509859915%	6.07306%	0.289866257%
39	0.000000097525635779%	6.76712%	0.364670453%
40	0.000000243814089448%	7.51903%	0.455838066%
41	0.000000588022215727%	8.33189%	0.566344264%
42	0.000001372051836696%	9.20893%	0.699601738%
43	0.000003105169946207%	10.15344%	0.859510706%
44	0.000006831373881656%	11.16879%	1.050513085%
45	0.000014638658317834%	12.25842%	1.277651050%
46	0.000030608103755472%	13.42589%	1.546630218%
47	0.000062546994630747%	14.67481%	1.863887699%
48	0.000125093989261493%	16.00889%	2.236665238%
49	0.000245184218952526%	17.43190%	2.673087724%
50	0.000471508113370243%	18.94771%	3.182247290%
51	0.000890626436366014%	20.56029%	3.774293298%
52	0.001654020524679740%	22.27364%	4.460528443%
53	0.003022865096828490%	24.09190%	5.253511277%
54	0.005441157174291290%	26.01925%	6.167165412%
55	0.009653665954387760%	28.05998%	7.216895695%
56	0.016893915420178600%	30.21844%	8.419711644%
57	0.029180399362126600%	32.49907%	9.794358443%
58	0.049778328323627800%	34.90641%	11.361455794%
59	0.083912039174115500%	37.44506%	13.143644939%
60	0.139853398623526000%	40.11971%	15.165744160%
61	0.230569116649597000%	42.93513%	17.454913090%
62	0.376191716638816000%	45.89617%	20.040826140%
63	0.607694311493471000%	49.00777%	22.955855397%
64	0.972310898389554000%	52.27496%	26.235263310%
65	1.541468497446850000%	55.70283%	29.917405529%
66	2.422307638845060000%	59.29656%	34.043944223%
67	3.774293297735320000%	63.06142%	38.660072253%
68	5.832998732863680000%	67.00276%	43.814748554%
69	8.943931390390970000%	71.12600%	49.560945086%
70	13.610330376681900000%	75.43667%	55.955905742%
71	20.560286313711000000%	79.94035%	63.061417582%
72	30.840429470566500000%	84.64272%	70.944094780%
73	45.945945945945900000%	89.54955%	79.675675676%
74	68.000000000000000000%	94.66667%	89.333333333%
75	100.000000000000000000%	100.00000%	100.000000000%

COMMENTS:

Hey! Thanks for all this great info! I'm a fan.
I have a question, what would be the equation if I needed to make it dynamic in a way where the odds react to the number of real players in the room and the # of bingo cards they each have keeping in mind that I want a balance between AI odds of winning and player odds.

dandan on September 7, 2016

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How would this formula

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