Bits & Odds

Detailed analysis for Deuces Wild 25/16/9/4/4/3 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 99.2254% under perfect play, ranking 6 of the 25 Deuces Wild paytables we analyse.

Payout table

HandPayout (1 coin)
Natural Royal Flush800
Four Deuces200
Wild Royal Flush25
Five of a Kind16
Straight Flush9
Four of a Kind4
Full House4
Flush3
Straight2
Three of a Kind1

Play this paytable · practise it against the solved strategy · simulate a bankroll on it.

Analysis

HandPayoutProbabilityCombinationsEV contribution
Natural Royal Flush 800 0.002302% 38,234,918 0.018414
Four Deuces 200 0.018715% 310,877,057 0.037430
Wild Royal Flush 25 0.190967% 3,172,162,866 0.047742
Five of a Kind 16 0.312385% 5,189,032,868 0.049982
Straight Flush 9 0.492710% 8,184,417,670 0.044344
Four of a Kind 4 6.135199% 101,911,938,807 0.245408
Full House 4 2.619149% 43,506,755,468 0.104766
Flush 3 2.043748% 33,948,753,442 0.061312
Straight 2 5.738663% 95,325,085,334 0.114773
Three of a Kind 1 26.808287% 445,313,141,471 0.268083
Nothing 0 55.637874% 924,202,143,199 0.000000
Total100%1,661,102,543,1000.992254

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