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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 Flush1,000553,355,6280.00002836,022.4627.710.027760
Straight Flush502,166,263,9640.0001099,201.660.260.005434
Four Aces with any 2,3,44001,227,600,1680.00006216,237.569.810.024634
Four 2's, 3's, 4's with any A,2,3,41602,854,343,7360.0001436,983.473.620.022911
Four Aces1603,459,807,3000.0001745,761.374.390.027771
Four 2's, 3's, 4's807,662,444,2160.0003842,601.422.400.030752
Four 5's through K's5032,390,101,2240.001625615.413.910.081246
Full House8216,088,158,8520.01084192.250.540.086725
Flush5221,771,865,8280.01112689.880.180.055629
Straight4255,876,522,1200.01283777.900.120.051347
Three of a Kind31,496,667,383,1240.07508413.320.310.225252
Two Pair12,448,637,933,1400.1228428.140.000.122842
Jacks or Better14,202,886,945,7800.2108484.740.000.210848
Nothing011,040,987,792,1200.5538991.810.520.000000
Totals19,933,230,517,2001.0000002.2453.760.973152

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush1,000553,154,3880.00002836,035.5627.700.027750
Straight Flush502,141,237,4480.0001079,309.210.260.005371
Four Aces with any 2,3,44001,229,169,8400.00006216,216.829.820.024666
Four 2's, 3's, 4's with any A,2,3,41602,854,575,9360.0001436,982.903.620.022913
Four Aces1603,465,576,6960.0001745,751.784.400.027817
Four 2's, 3's, 4's807,662,444,2160.0003842,601.422.400.030752
Four 5's through K's5032,389,837,5480.001625615.423.910.081246
Full House8216,127,177,7400.01084392.230.540.086740
Flush5221,299,148,4240.01110290.070.180.055510
Straight4254,371,863,5400.01276178.360.120.051045
Three of a Kind31,497,128,307,3480.07510713.310.310.225321
Two Pair12,449,538,404,7400.1228878.140.000.122887
Jacks or Better14,208,301,950,4000.2111204.740.000.211120
Nothing011,036,167,668,9360.5536571.810.520.000000
Totals19,933,230,517,2001.0000002.2453.760.973140

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 KindAAA
Pat HandStraight; Flush; Full House
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal FlushTJQ; JQA; JQK; JKA; QKA
2 PairTTJJ; TTQQ
3 to a Royal FlushTJK; TQK
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; TQA; TKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a Straight89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush8TJ; 9TJ; 9JQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; JQKA
3 to a Straight Flush89J; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal FlushJA; JQ; JK; QK
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 456; 567; 678; 789; 89T
2 to a Royal FlushQA; KA
4 to a Straight9JQK; TJQA
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK; TJKA; TQKA
3 to a StraightJQK
3 to a Straight Flush345; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a StraightJQ
Single Cardan Ace
2 to a Royal FlushTJ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 79T
2 to a StraightJK; QK
2 to a Royal FlushTQ; TK
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
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: TJSingle Card: an Ace
(more)2♣ 3♣ 10♦ J♦ A♥
2 to a Royal Flush: TJ2 to a Straight: JQ
(more)2♣ 3♣ 10♦ J♦ Q♣
2 to a Straight: JKSingle Card: an Ace
(more)2♣ 3♦ J♣ K♥ A♦
2 to a Straight: QKSingle Card: an Ace
(more)2♣ 3♦ Q♣ K♥ A♦
Single Card: an Ace2 to a Straight: JQ
(more)5♣ 9♣ J♣ Q♦ A♥
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 7♦ 10♣ J♣ K♦
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♣
3 to a Straight Flush: 346Single Card: an Ace
(more)3♣ 4♣ 6♣ 8♦ A♦
3 to a Straight Flush: 457Single Card: an Ace
(more)2♣ 4♦ 5♦ 7♦ A♣
3 to a Straight Flush: 356Single Card: an Ace
(more)3♣ 5♣ 6♣ 8♦ A♦
3 to a Straight Flush: 467Single Card: an Ace
(more)2♣ 4♦ 6♦ 7♦ A♣
3 to a Straight Flush: 568Single Card: an Ace
(more)2♣ 5♦ 6♦ 8♦ A♣
3 to a Straight Flush: 578Single Card: an Ace
(more)2♣ 5♦ 7♦ 8♦ A♣
3 to a Straight Flush: 679Single Card: an Ace
(more)2♣ 6♦ 7♦ 9♦ A♣
3 to a Straight Flush: 689Single Card: an Ace
(more)2♣ 6♦ 8♦ 9♦ A♣
3 to a Straight Flush: 78TSingle Card: an Ace
(more)2♣ 7♦ 8♦ 10♦ A♣
3 to a Straight Flush: 79TSingle Card: an Ace
(more)2♣ 7♦ 9♦ 10♦ A♣
Single Card: an Ace3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ A♥
3 to a Straight Flush: 2342 to a Straight: JQ2♣ 3♣ 4♣ J♦ Q♥
3 to a Straight Flush: 2352 to a Straight: JQ2♣ 3♣ 5♣ J♦ Q♥
3 to a Straight Flush: 2452 to a Straight: JQ2♣ 4♣ 5♣ J♦ Q♥
3 to a Straight Flush: 3462 to a Straight: JQ3♣ 4♣ 6♣ J♦ Q♥
3 to a Straight Flush: 3562 to a Straight: JQ3♣ 5♣ 6♣ J♦ Q♥
3 to a Straight Flush: 4572 to a Straight: JQ4♣ 5♣ 7♣ J♦ Q♥
3 to a Straight Flush: 4672 to a Straight: JQ4♣ 6♣ 7♣ J♦ Q♥
3 to a Straight Flush: 5682 to a Straight: JQ5♣ 6♣ 8♣ J♦ Q♥
3 to a Straight Flush: 5782 to a Straight: JQ5♣ 7♣ 8♣ J♦ Q♥
3 to a Straight Flush: 6792 to a Straight: JQ6♣ 7♣ 9♣ J♦ Q♥
Single Card: an Ace3 to a Straight Flush: 89Q8♣ 9♣ 10♦ Q♣ A♥
Single Card: an Ace3 to a Straight Flush: 8TQ8♣ 9♦ 10♣ Q♣ A♥
3 to a Straight Flush: 6894 to a Straight: 89JQ6♣ 8♣ 9♣ J♦ Q♥
3 to a Straight Flush: 79T4 to a Straight: 9TQK7♣ 9♣ 10♣ Q♦ K♥
3 to a Straight Flush: 234Single Card: an Ace2♣ 3♣ 4♣ 10♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: TJ5♣ 6♣ 8♣ 10♦ J♦
3 to a Straight Flush: 5782 to a Royal Flush: TJ5♣ 7♣ 8♣ 10♦ J♦
3 to a Straight Flush: 7892 to a Royal Flush: QK7♣ 8♣ 9♣ Q♦ K♦
3 to a Straight Flush: 4562 to a Royal Flush: JA4♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: JA5♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: JA6♣ 7♣ 8♣ J♦ A♦