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Video Poker Strategy Calculator

Introduction

The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):

Perfect Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800504,984,9840.00002539,472.9216.170.020267
Straight Flush1402,498,171,5200.0001257,979.132.420.017546
Four Aces with any 2,3,48001,233,909,1560.00006216,154.5439.500.049522
Four 2's, 3's, 4's with any A,2,3,43202,966,436,6360.0001496,719.5915.130.047622
Four Aces3203,478,084,6800.0001745,731.0917.740.055836
Four 2's, 3's, 4's1607,995,192,3360.0004012,493.1510.120.064176
Four 5's through K's10032,553,122,6520.001633612.3315.950.163311
Full House8211,239,776,9160.01059794.360.490.084779
Flush5213,170,496,3360.01069493.510.160.053471
Straight4231,830,766,1680.01163085.980.090.046521
Three of a Kind31,518,614,497,3080.07618513.130.260.228555
Two Pair12,474,051,534,3160.1241178.060.000.124117
Jacks or Better14,226,735,771,9280.2120454.720.010.212045
Nothing011,006,357,772,2640.5521611.810.750.000000
Totals19,933,230,517,2001.0000002.23118.781.167767

The following table shows the results when following basic strategy only (not its exceptions):

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800505,984,4160.00002539,394.9516.200.020307
Straight Flush1402,499,922,5600.0001257,973.542.420.017558
Four Aces with any 2,3,48001,233,902,5560.00006216,154.6239.500.049521
Four 2's, 3's, 4's with any A,2,3,43202,966,430,0360.0001496,719.6015.130.047622
Four Aces3203,479,061,3600.0001755,729.4917.740.055851
Four 2's, 3's, 4's1607,995,530,7240.0004012,493.0510.120.064179
Four 5's through K's10032,922,958,9440.001652605.4516.130.165166
Full House8201,193,954,1640.01009399.070.470.080747
Flush5212,919,357,7440.01068293.620.160.053408
Straight4230,666,543,8560.01157286.420.090.046288
Three of a Kind31,534,012,957,8240.07695812.990.260.230873
Two Pair12,373,085,695,2400.1190528.400.000.119052
Jacks or Better14,326,358,513,3920.2170434.610.010.217043
Nothing011,003,389,704,3840.5520121.810.750.000000
Totals19,933,230,517,2001.0000002.23118.981.167615

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four 2's, 3's, 4's with any A,2,3,4; Four Aces with any 2,3,4; Straigh...
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind222; 333; 444; AAA
Pat HandFull House
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
4 to a Straight Flush2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
Pat HandFlush
4 to a Straight Flush
(more)A234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ; 89JQ; 8TJQ; 9TJK; 9TQK...
Pat HandStraight
4 to a Straight Flush
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
1 PairAA
1 PairKK
3 to a Royal FlushTJQ
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
1 PairJJ; QQ
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
1 Pair22; 33; 44
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Straight Flush9TJ
4 to a StraightTJQK
1 Pair55; 66; 77; 88; 99; TT
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 8JQ; 9JQ; 9QK
4 to a Straight2345; 3456; 4567; 5678; 89TJ; 9TJQ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 568; 7TJ; 89J; 8TJ; 9TQ; 9JK
4 to a Straight6789; 789T; JQKA
3 to a Straight Flush467; 578; 679; 689; 78T; 78J; 79T; 79J
2 to a Royal FlushJA; JQ; JK; QA; QK
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 89Q; 8TQ; 9TK
2 to a Royal FlushKA
4 to a StraightTJQA; TQKA
4 to a Straight8TJQ; 9TQK; 9JQK; TJKA
Single Cardan Ace
3 to a StraightJQK
4 to a Straight89JQ; 9TJK
2 to a StraightJQ; QK
2 to a Royal FlushTJ; TQ
2 to a StraightJK
Single Carda Jack
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
Single Carda Queen; a King
4 to a Straight2346; 2456; 3457; 3467
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Royal Flush: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
2 to a Royal Flush: TJ2 to a Straight: JQ
(more)2♣ 3♣ 10♦ J♦ Q♣
2 Pair: 22KK1 Pair: KK
(more)2♣ 2♦ K♣ K♦ 3♣
2 Pair: 33KK1 Pair: KK
(more)3♣ 3♦ K♣ K♦ 2♣
2 Pair: 44KK1 Pair: KK
(more)4♣ 4♦ K♣ K♦ 2♣
2 Pair: 55KK1 Pair: KK
(more)5♣ 5♦ K♣ K♦ 2♣
2 Pair: 66KK1 Pair: KK
(more)6♣ 6♦ K♣ K♦ 2♣
2 Pair: 77KK1 Pair: KK
(more)7♣ 7♦ K♣ K♦ 2♣
2 Pair: 88KK1 Pair: KK
(more)8♣ 8♦ K♣ K♦ 2♣
2 Pair: 99KK1 Pair: KK
(more)9♣ 9♦ K♣ K♦ 2♣
2 Pair: TTKK1 Pair: KK
(more)10♣ 10♦ K♣ K♦ 2♣
2 Pair: JJKK1 Pair: KK
(more)J♣ J♦ K♣ K♦ 2♣
2 Pair: QQKK1 Pair: KK
(more)Q♣ Q♦ K♣ K♦ 2♣
Garbage: Discard everything4 to a Straight: 2456
(more)2♣ 4♣ 5♦ 6♦ 8♣
4 to a Straight: 2356Garbage: Discard everything
(more)2♣ 3♦ 5♥ 6♠ 8♣
4 to a Straight: TJKA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ K♦ A♣
4 to a Straight: TQKA2 to a Royal Flush: QA
(more)2♣ 10♦ Q♣ K♦ A♣
4 to a Straight: TJKA2 to a Royal Flush: KA
(more)2♣ 10♦ J♦ K♣ A♣
4 to a Straight: TQKA2 to a Royal Flush: KA
(more)2♣ 10♦ Q♦ K♣ A♣
4 to a Straight: TJQA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ Q♦ A♣
4 to a Straight: TJQA2 to a Royal Flush: QA
(more)2♣ 10♦ J♦ Q♣ A♣
4 to a Straight: 4578Garbage: Discard everything
(more)2♣ 4♣ 5♦ 7♥ 8♠
4 to a Straight: 4678Garbage: Discard everything
(more)2♣ 4♣ 6♦ 7♥ 8♠
Garbage: Discard everything4 to a Straight: 3457
(more)3♣ 4♣ 5♦ 7♦ 8♣
Garbage: Discard everything4 to a Straight: 3467
(more)3♣ 4♣ 6♦ 7♦ 8♣
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ K♦
1 Pair: JJ3 to a Royal Flush: TJQ
(more)J♣ J♦ 2♣ 10♣ Q♣
1 Pair: QQ3 to a Royal Flush: TJQ
(more)Q♣ Q♦ 2♣ 10♣ J♣
3 to a Straight Flush: 67TSingle Card: a Jack
(more)2♣ 6♦ 7♦ 10♦ J♣
3 to a Straight Flush: 68TSingle Card: a Jack
(more)2♣ 6♦ 8♦ 10♦ J♣
3 to a Straight Flush: 69TSingle Card: a Jack
(more)2♣ 6♦ 9♦ 10♦ J♣
3 to a Straight Flush: 458Single Card: a Jack
(more)2♣ 4♦ 5♦ 8♦ J♣
3 to a Straight Flush: 468Single Card: a Jack
(more)2♣ 4♦ 6♦ 8♦ J♣
3 to a Straight Flush: 478Single Card: a Jack
(more)2♣ 4♦ 7♦ 8♦ J♣
3 to a Straight Flush: 569Single Card: a Jack
(more)2♣ 5♦ 6♦ 9♦ J♣
3 to a Straight Flush: 579Single Card: a Jack
(more)2♣ 5♦ 7♦ 9♦ J♣
3 to a Straight Flush: 236Single Card: a Jack
(more)2♣ 3♣ 6♣ 7♦ J♦
3 to a Straight Flush: 246Single Card: a Jack
(more)2♣ 4♣ 6♣ 7♦ J♦
3 to a Straight Flush: 347Single Card: a Jack
(more)2♣ 3♦ 4♦ 7♦ J♣
3 to a Straight Flush: 357Single Card: a Jack
(more)2♣ 3♦ 5♦ 7♦ J♣
3 to a Straight Flush: 367Single Card: a Jack
(more)2♣ 3♦ 6♦ 7♦ J♣
3 to a Straight Flush: 589Single Card: a Jack
(more)2♣ 5♦ 8♦ 9♦ J♣
3 to a Straight Flush: 256Single Card: a Jack
(more)2♣ 5♣ 6♣ 7♦ J♦
Single Card: a Queen3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ Q♦
Single Card: a King3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ K♦
Single Card: a Queen3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ Q♦
Single Card: a King3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ K♦
Single Card: a Queen3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ Q♦
Single Card: a King3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ K♦
Single Card: a Queen3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ Q♦
Single Card: a Queen3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ Q♦
Single Card: a Queen3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ Q♦
Single Card: a King3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ K♥
Single Card: a King3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ K♥
Single Card: a Queen3 to a Straight Flush: 67T
(more)6♣ 7♣ 8♦ 10♣ Q♦
Single Card: a Queen3 to a Straight Flush: 68T
(more)6♣ 7♦ 8♣ 10♣ Q♦
Single Card: a Queen3 to a Straight Flush: 69T
(more)6♣ 7♦ 9♣ 10♣ Q♦
Single Card: a King3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ K♥
Single Card: a King3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ K♥
Single Card: a King3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ K♥
Single Card: a King3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ K♥
Single Card: a King3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ K♥
Single Card: a King3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ K♥
Single Card: a King3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ K♥
Single Card: a King3 to a Straight Flush: 67T
(more)6♣ 7♣ 8♦ 10♣ K♥
Single Card: a King3 to a Straight Flush: 68T
(more)6♣ 7♦ 8♣ 10♣ K♥
Single Card: a King3 to a Straight Flush: 69T
(more)6♣ 7♦ 9♣ 10♣ K♥
2 Pair: TTJJ3 to a Royal Flush: TJQ
(more)10♣ 10♦ J♣ J♦ Q♣
2 Pair: TTQQ3 to a Royal Flush: TJQ
(more)10♣ 10♦ Q♣ Q♦ J♣
2 Pair: JJQQ3 to a Royal Flush: TJQ
(more)J♣ J♦ Q♣ Q♦ 10♣
3 to a Straight Flush: 5692 to a Straight: JK5♣ 6♣ 9♣ J♦ K♥
3 to a Straight Flush: 5792 to a Straight: JK5♣ 7♣ 9♣ J♦ K♥
3 to a Straight Flush: 5892 to a Straight: JK5♣ 8♣ 9♣ J♦ K♥
3 to a Straight Flush: 67T2 to a Straight: JK6♣ 7♣ 10♣ J♦ K♥
3 to a Straight Flush: 68T2 to a Straight: JK6♣ 8♣ 10♣ J♦ K♥
3 to a Straight Flush: 5692 to a Straight: QK5♣ 6♣ 9♣ Q♦ K♥
3 to a Straight Flush: 5792 to a Straight: QK5♣ 7♣ 9♣ Q♦ K♥
3 to a Straight Flush: 5892 to a Straight: QK5♣ 8♣ 9♣ Q♦ K♥
3 to a Straight Flush: 67T2 to a Straight: QK6♣ 7♣ 10♣ Q♦ K♥
3 to a Straight Flush: 68T2 to a Straight: QK6♣ 8♣ 10♣ Q♦ K♥
3 to a Straight Flush: 5692 to a Royal Flush: TQ5♣ 6♣ 9♣ 10♦ Q♦
3 to a Straight Flush: 5792 to a Royal Flush: TQ5♣ 7♣ 9♣ 10♦ Q♦
3 to a Straight Flush: 5892 to a Royal Flush: TQ5♣ 8♣ 9♣ 10♦ Q♦