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Anything's Wild Video Poker
Introduction
Anything's Wild is a video poker game I saw at the Mirage in December 2004. The game lets the player choose any rank as the wild card. The following 13 tables show the expected return for each wild card under the same pay table.
Deuces Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 451860552 | 0.000023 | 0.018135 |
Four wilds | 200 | 3569009976 | 0.000179 | 0.035810 |
Wild Royal Flush | 25 | 36609589824 | 0.001837 | 0.045915 |
Five of a kind | 16 | 62382255384 | 0.003130 | 0.050073 |
Straight Flush | 13 | 114872455524 | 0.005763 | 0.074917 |
Four of a kind | 4 | 1241518035276 | 0.062284 | 0.249135 |
Full House | 3 | 418049590932 | 0.020972 | 0.062917 |
Flush | 2 | 352876748868 | 0.017703 | 0.035406 |
Straight | 2 | 1155483277524 | 0.057968 | 0.115935 |
Three of a kind | 1 | 5569471452216 | 0.279406 | 0.279406 |
Nonpaying hand | 0 | 10977946241124 | 0.550736 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.967651 |
Threes Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 456243312 | 0.000023 | 0.018311 |
Four wilds | 200 | 3643421820 | 0.000183 | 0.036556 |
Wild Royal Flush | 25 | 37551731520 | 0.001884 | 0.047097 |
Five of a kind | 16 | 62789722080 | 0.003150 | 0.050400 |
Straight Flush | 13 | 105056757912 | 0.005270 | 0.068516 |
Four of a kind | 4 | 1251322561764 | 0.062776 | 0.251103 |
Full House | 3 | 419772635520 | 0.021059 | 0.063177 |
Flush | 2 | 354693082008 | 0.017794 | 0.035588 |
Straight | 2 | 1066434333624 | 0.053500 | 0.107001 |
Three of a kind | 1 | 5622356317584 | 0.282059 | 0.282059 |
Nonpaying hand | 0 | 11009153710056 | 0.552302 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.959808 |
Fours Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 459018816 | 0.000023 | 0.018422 |
Four wilds | 200 | 3702576576 | 0.000186 | 0.037150 |
Wild Royal Flush | 25 | 38095028136 | 0.001911 | 0.047778 |
Five of a kind | 16 | 63156965184 | 0.003168 | 0.050695 |
Straight Flush | 13 | 96016466232 | 0.004817 | 0.062620 |
Four of a kind | 4 | 1261005152124 | 0.063261 | 0.253046 |
Full House | 3 | 421484136420 | 0.021145 | 0.063434 |
Flush | 2 | 357586636632 | 0.017939 | 0.035878 |
Straight | 2 | 974612205744 | 0.048894 | 0.097788 |
Three of a kind | 1 | 5677573022904 | 0.284830 | 0.284830 |
Nonpaying hand | 0 | 11039539308432 | 0.553826 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.951641 |
Fives Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 459790716 | 0.000023 | 0.018453 |
Four wilds | 200 | 3766175124 | 0.000189 | 0.037788 |
Wild Royal Flush | 25 | 38440133448 | 0.001928 | 0.048211 |
Five of a kind | 16 | 63563472576 | 0.003189 | 0.051021 |
Straight Flush | 13 | 86715307836 | 0.004350 | 0.056554 |
Four of a kind | 4 | 1271931301356 | 0.063810 | 0.255238 |
Full House | 3 | 423339210144 | 0.021238 | 0.063714 |
Flush | 2 | 359568183984 | 0.018039 | 0.036077 |
Straight | 2 | 878865092760 | 0.044090 | 0.088181 |
Three of a kind | 1 | 5739477701004 | 0.287935 | 0.287935 |
Nonpaying hand | 0 | 11067104148252 | 0.555209 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.943172 |
Sixes Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 459843552 | 0.000023 | 0.018455 |
Four wilds | 200 | 3802407612 | 0.000191 | 0.038151 |
Wild Royal Flush | 25 | 38652577704 | 0.001939 | 0.048478 |
Five of a kind | 16 | 63740464368 | 0.003198 | 0.051163 |
Straight Flush | 13 | 84227881104 | 0.004226 | 0.054932 |
Four of a kind | 4 | 1275524388912 | 0.063990 | 0.255959 |
Full House | 3 | 423225678660 | 0.021232 | 0.063697 |
Flush | 2 | 355049302896 | 0.017812 | 0.035624 |
Straight | 2 | 868040813880 | 0.043547 | 0.087095 |
Three of a kind | 1 | 5742873215808 | 0.288105 | 0.288105 |
Nonpaying hand | 0 | 11077633942704 | 0.555737 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.941659 |
Sevens Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 460168248 | 0.000023 | 0.018468 |
Four wilds | 200 | 3765411444 | 0.000189 | 0.037780 |
Wild Royal Flush | 25 | 38593238544 | 0.001936 | 0.048403 |
Five of a kind | 16 | 63715104456 | 0.003196 | 0.051143 |
Straight Flush | 13 | 84349016400 | 0.004232 | 0.055011 |
Four of a kind | 4 | 1275336522492 | 0.063980 | 0.255922 |
Full House | 3 | 423439931880 | 0.021243 | 0.063729 |
Flush | 2 | 356814632424 | 0.017900 | 0.035801 |
Straight | 2 | 860460381528 | 0.043167 | 0.086334 |
Three of a kind | 1 | 5743219652604 | 0.288123 | 0.288123 |
Nonpaying hand | 0 | 11083076457180 | 0.556010 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.940714 |
Eights Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 461018424 | 0.000023 | 0.018503 |
Four wilds | 200 | 3740648604 | 0.000188 | 0.037532 |
Wild Royal Flush | 25 | 38667927816 | 0.001940 | 0.048497 |
Five of a kind | 16 | 63531969336 | 0.003187 | 0.050996 |
Straight Flush | 13 | 85417992780 | 0.004285 | 0.055708 |
Four of a kind | 4 | 1270557758016 | 0.063741 | 0.254963 |
Full House | 3 | 422823361356 | 0.021212 | 0.063636 |
Flush | 2 | 358551262740 | 0.017988 | 0.035975 |
Straight | 2 | 869824813980 | 0.043637 | 0.087274 |
Three of a kind | 1 | 5726140755876 | 0.287266 | 0.287266 |
Nonpaying hand | 0 | 11093513008272 | 0.556534 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.940348 |
Nines Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 436824192 | 0.000022 | 0.017531 |
Four wilds | 200 | 3709921320 | 0.000186 | 0.037223 |
Wild Royal Flush | 25 | 37865570352 | 0.001900 | 0.047491 |
Five of a kind | 16 | 63407737320 | 0.003181 | 0.050896 |
Straight Flush | 13 | 86703336108 | 0.004350 | 0.056546 |
Four of a kind | 4 | 1269248272344 | 0.063675 | 0.254700 |
Full House | 3 | 422994828360 | 0.021221 | 0.063662 |
Flush | 2 | 357826989852 | 0.017951 | 0.035903 |
Straight | 2 | 871349635548 | 0.043713 | 0.087427 |
Three of a kind | 1 | 5738078683032 | 0.287865 | 0.287865 |
Nonpaying hand | 0 | 11081608718772 | 0.555936 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.939244 |
Tens Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 393720204 | 0.000020 | 0.015802 |
Four wilds | 200 | 3796159368 | 0.000190 | 0.038089 |
Wild Royal Flush | 25 | 13221856812 | 0.000663 | 0.016583 |
Five of a kind | 16 | 64028276592 | 0.003212 | 0.051394 |
Straight Flush | 13 | 107376213036 | 0.005387 | 0.070028 |
Four of a kind | 4 | 1285632799416 | 0.064497 | 0.257988 |
Full House | 3 | 425197817832 | 0.021331 | 0.063993 |
Flush | 2 | 347170621272 | 0.017417 | 0.034833 |
Straight | 2 | 873268395564 | 0.043810 | 0.087619 |
Three of a kind | 1 | 5789597923608 | 0.290450 | 0.290450 |
Nonpaying hand | 0 | 11023546733496 | 0.553024 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.926779 |
Jacks Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 393067032 | 0.000020 | 0.015775 |
Four wilds | 200 | 3773769096 | 0.000189 | 0.037864 |
Wild Royal Flush | 25 | 13118639712 | 0.000658 | 0.016453 |
Five of a kind | 16 | 63781640424 | 0.003200 | 0.051196 |
Straight Flush | 13 | 115307711124 | 0.005785 | 0.075201 |
Four of a kind | 4 | 1276878611676 | 0.064058 | 0.256231 |
Full House | 3 | 423302595576 | 0.021236 | 0.063708 |
Flush | 2 | 343723454292 | 0.017244 | 0.034487 |
Straight | 2 | 970366555980 | 0.048681 | 0.097362 |
Three of a kind | 1 | 5728086756336 | 0.287364 | 0.287364 |
Nonpaying hand | 0 | 10994497715952 | 0.551566 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.935642 |
Queens Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 393449652 | 0.000020 | 0.015791 |
Four wilds | 200 | 3731480316 | 0.000187 | 0.037440 |
Wild Royal Flush | 25 | 13088530968 | 0.000657 | 0.016415 |
Five of a kind | 16 | 63512507304 | 0.003186 | 0.050980 |
Straight Flush | 13 | 123202844604 | 0.006181 | 0.080350 |
Four of a kind | 4 | 1269223020132 | 0.063674 | 0.254695 |
Full House | 3 | 421510722588 | 0.021146 | 0.063438 |
Flush | 2 | 339403130088 | 0.017027 | 0.034054 |
Straight | 2 | 1063182661872 | 0.053337 | 0.106674 |
Three of a kind | 1 | 5672982101184 | 0.284599 | 0.284599 |
Nonpaying hand | 0 | 10963000068492 | 0.549986 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.944437 |
Kings Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 393481368 | 0.000020 | 0.015792 |
Four wilds | 200 | 3667736256 | 0.000184 | 0.036800 |
Wild Royal Flush | 25 | 13820361552 | 0.000693 | 0.017333 |
Five of a kind | 16 | 63044238144 | 0.003163 | 0.050604 |
Straight Flush | 13 | 131701303104 | 0.006607 | 0.085893 |
Four of a kind | 4 | 1256118914280 | 0.063016 | 0.252065 |
Full House | 3 | 419500642596 | 0.021045 | 0.063136 |
Flush | 2 | 341257480824 | 0.017120 | 0.034240 |
Straight | 2 | 1154820665700 | 0.057934 | 0.115869 |
Three of a kind | 1 | 5607026979924 | 0.281290 | 0.281290 |
Nonpaying hand | 0 | 10941878713452 | 0.548927 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.953023 |
Aces Wild
Hand | Payoff | Combinations | Probability | Return |
---|---|---|---|---|
Nat. Royal Flush | 800 | 394384164 | 0.000020 | 0.015828 |
Four wilds | 200 | 3720809952 | 0.000187 | 0.037333 |
Wild Royal Flush | 25 | 13887411816 | 0.000697 | 0.017417 |
Five of a kind | 16 | 63252623448 | 0.003173 | 0.050772 |
Straight Flush | 13 | 126245093508 | 0.006333 | 0.082334 |
Four of a kind | 4 | 1261385592096 | 0.063281 | 0.253122 |
Full House | 3 | 419569403436 | 0.021049 | 0.063146 |
Flush | 2 | 338765453016 | 0.016995 | 0.033990 |
Straight | 2 | 1139701344540 | 0.057176 | 0.114352 |
Three of a kind | 1 | 5622536492340 | 0.282069 | 0.282069 |
Nonpaying hand | 0 | 10943771908884 | 0.549021 | 0.000000 |
Total | 0 | 19933230517200 | 1.000000 | 0.950363 |
The next table shows just the return for each wild card. As you can see the best choice is to make the deuces wild.
Return by Wild Card
Wild Card | Return |
---|---|
2 | 0.967651 |
3 | 0.959808 |
4 | 0.951641 |
5 | 0.943172 |
6 | 0.941659 |
7 | 0.940714 |
8 | 0.940348 |
9 | 0.939244 |
10 | 0.926779 |
J | 0.935642 |
Q | 0.944437 |
K | 0.953023 |
A | 0.950363 |