Sevens and Joker Wild

Introduction

Sevens and Joker Wild is a video poker game I noticed at the Macau Palace (a.k.a. Floating Casino) in Macau in August 2007. The game uses a 53-card deck, including one joker. As the title says, both sevens and jokers are wild. Either I wrote down the pay table incorrectly, or at 84.3% this is the worst video poker game I've ever seen.

Sevens and Joker Wild

Hand Payoff Combinations Probability Return
Five wilds 1000 18,280,903 0.000009 0.008929
Natural royal flush 500 39,094,220 0.000019 0.009547
Natural four sevens 100 383,471,833 0.000187 0.018730
Wild royal flush 9 5,744,362,953 0.002806 0.025251
Five of a kind 6 12,228,801,573 0.005973 0.035837
Straight flush 4 9,483,400,595 0.004632 0.018528
Four of a kind 3 188,513,538,413 0.092074 0.276223
Full house 2 45,214,536,354 0.022084 0.044168
Flush 2 41,954,522,041 0.020492 0.040983
Straight 1 81,391,041,945 0.039753 0.039753
Three of a kind 1 662,891,288,622 0.323771 0.323771
Nothing 0 999,543,120,648 0.488200 0.000000
Total 2,047,405,460,100 1.000000 0.841720

The following pay table was seen at the Igromat Internet casino.

Sevens and Joker Wild

Hand Payoff Combinations Probability Return
Five wilds 600 15,335,446 0.000007 0.004494
Natural royal flush 300 34,843,400 0.000017 0.005105
Natural four sevens 25 298,177,490 0.000146 0.003641
Wild royal flush 15 6,110,153,205 0.002984 0.044765
Five of a kind 10 11,347,495,700 0.005542 0.055424
Straight flush 6 12,686,996,839 0.006197 0.037180
Four of a kind 3 169,509,612,492 0.082792 0.248377
Full house 3 54,923,501,208 0.026826 0.080478
Flush 3 63,658,485,570 0.031092 0.093277
Straight 2 99,465,624,692 0.048581 0.097163
Three of a kind 1 602,299,985,001 0.294177 0.294177
Nothing 0 1,027,055,249,057 0.501637 0.000000
Total 2,047,405,460,100 1.000000 0.964081

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