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Anything's Wild Video Poker

Last update: Apr. 11, 2008

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

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Return tables:
Probability of Ruin for single-play video poker
Random simulations for multi-play video poker.
The standard deviation of n-play video poker.

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My Strategies

Jacks or Better:

Simple Strategy (return of 99.46%)
Intermediate strategy (return of 99.52%)
Optimal Strategy (return of 99.54%)

Full Pay Deuces Wild:

Simple Strategy (return of 100.71%)
Optimal Strategy (return of 100.77%)
When to play two to a royal, king high, with no penalty cards
When to play two suited high cards, ace high, with a deuce
When to play two to a royal, king high, with a straight penalty card

Not So Ugly Ducks Deuces Wild:

Intermediate Strategy

Other Stuff

Jacks or better quiz.
Probability distribution for each hand by number of cards held in full pay Deuces Wild.
Programming video poker tips.

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