Bits & Odds

Detailed analysis for Deuces Wild 20/12/10/4/4/3 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 97.5791% under perfect play, ranking 12 of the 25 Deuces Wild paytables we analyse.

Payout table

HandPayout (1 coin)
Natural Royal Flush800
Four Deuces200
Wild Royal Flush20
Five of a Kind12
Straight Flush10
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 0.002269% 37,688,199 0.018151
Four Deuces 200 0.018467% 306,759,678 0.036934
Wild Royal Flush 20 0.178193% 2,959,971,264 0.035639
Five of a Kind 12 0.298246% 4,954,175,332 0.035790
Straight Flush 10 0.545525% 9,061,722,519 0.054552
Four of a Kind 4 6.085502% 101,086,433,188 0.243420
Full House 4 2.610987% 43,371,178,626 0.104439
Flush 3 2.124262% 35,286,171,860 0.063728
Straight 2 5.818059% 96,643,929,842 0.116361
Three of a Kind 1 26.677669% 443,143,430,671 0.266777
Nothing 0 55.640820% 924,251,081,921 0.000000
Total100%1,661,102,543,1000.975791

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