Bits & Odds

Detailed analysis for Double Double Bonus 8/5 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 96.7861% under perfect play, ranking 8 of the 12 Double Double Bonus paytables we analyse.

Variance per hand is 41.9949 (standard deviation 6.48 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 Aces + 2-4400
Four 2s-4s + A-4160
Four Aces160
Four 2s-4s80
Four 5s-Ks50
Full House8
Flush5
Straight4
Three of a Kind3
Two Pair1
Jacks or Better1

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Analysis

HandPayoutProbabilityCombinationsEV contribution
Royal Flush 800 0.002496% 41,459,251 0.019967
Straight Flush 50 0.010699% 177,727,384 0.005350
Four Aces + 2-4 400 0.006158% 102,290,769 0.024632
Four 2s-4s + A-4 160 0.014319% 237,860,086 0.022911
Four Aces 160 0.017345% 288,113,455 0.027752
Four 2s-4s 80 0.038443% 638,571,074 0.030754
Four 5s-Ks 50 0.163229% 2,711,398,368 0.081614
Full House 8 1.086765% 18,052,285,656 0.086941
Flush 5 1.098528% 18,247,674,775 0.054926
Straight 4 1.295109% 21,513,082,569 0.051804
Three of a Kind 3 7.533427% 125,137,953,940 0.226003
Two Pair 1 12.313956% 204,547,440,204 0.123140
Jacks or Better 1 21.206714% 352,265,273,676 0.212067
Nothing 0 55.212811% 917,141,411,893 0.000000
Total100%1,661,102,543,1000.967861

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