Bits & Odds

Detailed analysis for Double Bonus 10/6 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 98.8845% under perfect play, ranking 7 of the 17 Double Bonus paytables we analyse.

Variance per hand is 30.3991 (standard deviation 5.51 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 Aces160
Four 2s-4s80
Four 5s-Ks50
Full House10
Flush6
Straight5
Three of a Kind3
Two Pair1
Jacks or Better1

Play 10/6 Double Bonus free · Practise 10/6 Double Bonus in the trainer · simulate a bankroll on it · change any payout and re-solve it.

Analysis

HandPayoutProbabilityCombinationsEV contribution
Royal Flush 800 0.002433% 40,412,459 0.019463
Straight Flush 50 0.010813% 179,623,039 0.005407
Four Aces 160 0.020380% 338,535,216 0.032608
Four 2s-4s 80 0.052460% 871,421,875 0.041968
Four 5s-Ks 50 0.162126% 2,693,083,034 0.081063
Full House 10 1.131226% 18,790,815,945 0.113123
Flush 6 1.107665% 18,399,443,232 0.066460
Straight 5 1.549314% 25,735,694,222 0.077466
Three of a Kind 3 7.327354% 121,714,864,335 0.219821
Two Pair 1 12.661686% 210,323,590,515 0.126617
Jacks or Better 1 20.485012% 340,277,061,027 0.204850
Nothing 0 55.489530% 921,737,998,201 0.000000
Total100%1,661,102,543,1000.988845

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