Bits & Odds

Detailed analysis for Jacks or Better 9/6 - paytable 500-50-25-9-6-4-3-2-1 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 98.8793% under perfect play, ranking 10 of 30 paytables we analyze.

Payout table

HandPayout (1 coin)
Royal Flush500
Straight Flush50
Four of a Kind25
Full House9
Flush6
Straight4
Three of a Kind3
Two Pair2
Jacks or Better1

Analysis

HandPayoutProbabilityCombinationsEV contribution
Royal Flush 500 0.002082% 34,585,851 0.010411
Straight Flush 50 0.010685% 177,496,821 0.005343
Four of a Kind 25 0.236278% 3,924,815,583 0.059069
Full House 9 1.150877% 19,117,249,407 0.103579
Flush 6 1.166070% 19,369,611,123 0.069964
Straight 4 1.111555% 18,464,061,976 0.044462
Three of a Kind 3 7.439944% 123,585,104,535 0.223198
Two Pair 2 12.911584% 214,474,653,927 0.258232
Jacks or Better 1 21.453455% 356,363,884,593 0.214535
Nothing 0 54.517470% 905,591,079,284 0.000000
Total100%1,661,102,543,1000.988793

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