Bits & Odds

Detailed analysis for Bonus Poker 10/8 (6 St, 1 2P) Video Poker

We computed every hand probability for this paytable to get the overall payout (expected value) and the optimal strategy. Paytables change both, so the strategy for one machine is not the strategy for another that looks identical. This one returns 95.7771% under perfect play, ranking 9 of the 9 Bonus Poker paytables we analyse.

Variance per hand is 19.6001 (standard deviation 4.43 bet units), computed from the exact counts below. That is the number that sizes a bankroll: the bankroll calculator shows what it means over a session.

Payout table

HandPayout (1 coin)
Royal Flush800
Straight Flush50
Four Aces80
Four 2s-4s40
Four 5s-Ks25
Full House10
Flush8
Straight6
Three of a Kind3
Two Pair1
Jacks or Better1

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Analysis

HandPayoutProbabilityCombinationsEV contribution
Royal Flush 800 0.002111% 35,067,451 0.016889
Straight Flush 50 0.011822% 196,374,881 0.005911
Four Aces 80 0.018508% 307,430,349 0.014806
Four 2s-4s 40 0.052203% 867,143,504 0.020881
Four 5s-Ks 25 0.158136% 2,626,792,815 0.039534
Full House 10 1.113425% 18,495,137,472 0.111343
Flush 8 1.624955% 26,992,170,018 0.129996
Straight 6 1.697196% 28,192,161,564 0.101832
Three of a Kind 3 7.031169% 116,794,921,190 0.210935
Two Pair 1 12.175752% 202,251,732,282 0.121758
Jacks or Better 1 18.388722% 305,455,527,375 0.183887
Nothing 0 57.726002% 958,888,084,199 0.000000
Total100%1,661,102,543,1000.957771

Read the last column as cents per dollar wagered coming back from each hand type. Royal flushes are worth chasing not because they are likely but because their payout is large enough to matter over millions of hands; the bulk of the return comes from the ordinary hands near the bottom of the table.

Other paytables