Bingo Poker
Posted By admin On 21/07/22Poker Bingo consists of an exciting variety of five games using Bingo boards, chips and a deck of special size playing cards, which are all included. Each game combines the play of Bingo with a poker style. Each player takes a Poker Bingo board and chips for markers. The dealer shuffles the cards and places them face down in front of him. Enter the world of free, online gaming! Poker, Bingo, Mahjong and many other games are waiting for you! Join to feel the thrill of real entertainment! Bingo lets you play up to four bingo cards at once. When a number is called, find a corresponding a balloon on one of your cards to pop it. As you advance, you can unlock new rooms set in exotic locations around the globe. The further you get, the bigger the payouts. Bingo, you can call multiple bingos on the same card. Have a winning poker hand? Win tons of Coins. Use your Gems to get Good Luck Charms, which boost your coin winnings from playing free Poker in Vegas World. Play multiple rounds of Poker, treat each other to special food and drink Charms, and have fun!
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.
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.
Poker Bingo Game
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:
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
DaveG44131 on September 11, 2014
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HPG ADMIN on February 27, 2013