# 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 Flush3,201407,423,3640.00002048,925.10208.790.065427
Straight Flush2012,136,247,3920.0001079,330.964.120.021541
Four of a Kind10146,781,904,6960.002347426.0921.660.237040
Full House43227,569,861,9440.01141787.5916.540.490914
Flush33264,433,390,1640.01326675.3810.450.437777
Straight22252,083,169,8040.01264679.073.680.278220
Three of a Kind151,463,345,273,1120.07341213.627.441.101185
Two Pair102,535,516,135,0000.1272007.863.261.272005
Jacks or Better54,105,321,538,2560.2059544.860.001.029768
Nothing011,035,635,573,4680.5536301.8113.480.000000
Totals19,933,230,517,2001.0000002.24289.424.933877

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush3,201409,700,4720.00002148,653.18209.950.065792
Straight Flush2012,140,911,5160.0001079,310.634.130.021588
Four of a Kind10146,775,839,6320.002347426.1421.660.237009
Full House43227,543,697,6480.01141587.6016.540.490858
Flush33265,136,052,1320.01330175.1810.480.438940
Straight22252,248,737,6920.01265579.023.690.278403
Three of a Kind151,463,088,682,8240.07339913.627.441.100992
Two Pair102,535,146,658,3600.1271827.863.261.271819
Jacks or Better54,099,849,350,5160.2056794.860.001.028396
Nothing011,040,890,886,4080.5538941.8113.480.000000
Totals19,933,230,517,2001.0000002.24290.634.933797

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Straight Flush; Royal Flush
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
Pat HandStraight; Flush
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 PairJJ; QQ; KK; AA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Straight89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
4 to a StraightJQKA
3 to a Flush
(more)2JA; 2QA; 2KA; 3JA; 3QA; 3KA; 4JA; 4QA; 4KA; 5JA; 5QA; 5KA; 6JA; 6QA...
2 to a Royal FlushJA; JQ; JK; QA; QK; KA
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a StraightJQK
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a StraightJQ; QK
2 to a Royal FlushTJ; TQ
2 to a StraightJK; QA
2 to a StraightJA; KA
Single Carda Jack
3 to a Flush
(more)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26A; 26J; 26Q; 26K; 27A...
2 to a Royal FlushTK
Single Carda Queen; a King; an Ace
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...
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 3♦ 10♣ Q♣ A♦
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
Single Card: a Queen3 to a Flush: 26Q
(more)2♣ 3♦ 4♦ 6♣ Q♣
Single Card: a Queen3 to a Flush: 27Q
(more)2♣ 3♦ 4♦ 7♣ Q♣
Single Card: a Queen3 to a Flush: 37Q
(more)2♣ 3♦ 4♣ 7♦ Q♦
Single Card: a Queen3 to a Flush: 28Q
(more)2♣ 3♦ 4♦ 8♣ Q♣
Single Card: a Queen3 to a Flush: 38Q
(more)2♣ 3♦ 4♣ 8♦ Q♦
Single Card: a Queen3 to a Flush: 48Q
(more)2♣ 3♣ 4♦ 8♦ Q♦
Single Card: a Queen3 to a Flush: 23Q
(more)2♣ 3♣ 4♦ 6♦ Q♣
Single Card: a Queen3 to a Flush: 24Q
(more)2♣ 3♦ 4♣ 6♦ Q♣
Single Card: a Queen3 to a Flush: 25Q
(more)2♣ 3♦ 5♣ 6♦ Q♣
Single Card: a Queen3 to a Flush: 36Q
(more)2♣ 3♦ 4♣ 6♦ Q♦
Single Card: a Queen3 to a Flush: 47Q
(more)2♣ 3♣ 4♦ 7♦ Q♦
Single Card: a Queen3 to a Flush: 58Q
(more)2♣ 3♣ 5♦ 8♦ Q♦
Single Card: a Queen3 to a Flush: 68Q
(more)2♣ 3♣ 6♦ 8♦ Q♦
Single Card: a Queen3 to a Flush: 78Q
(more)2♣ 3♣ 7♦ 8♦ Q♦
Single Card: a Queen3 to a Flush: 34Q
(more)2♣ 3♦ 4♦ 6♣ Q♦
Single Card: a Queen3 to a Flush: 35Q
(more)2♣ 3♦ 5♦ 6♣ Q♦
Single Card: a Queen3 to a Flush: 46Q
(more)2♣ 3♣ 4♦ 6♦ Q♦
Single Card: a Queen3 to a Flush: 57Q
(more)2♣ 3♣ 5♦ 7♦ Q♦
Single Card: a Queen3 to a Flush: 67Q
(more)2♣ 3♣ 6♦ 7♦ Q♦
Single Card: a Queen3 to a Flush: 45Q
(more)2♣ 4♦ 5♦ 6♣ Q♦
Single Card: a Queen3 to a Flush: 56Q
(more)2♣ 3♣ 5♦ 6♦ Q♦
3 to a Flush: 29JSingle Card: a Jack
(more)2♣ 7♦ 8♦ 9♣ J♣
3 to a Flush: 39JSingle Card: a Jack
(more)3♣ 7♦ 8♦ 9♣ J♣
3 to a Flush: 49JSingle Card: a Jack
(more)4♣ 7♦ 8♦ 9♣ J♣
3 to a Flush: 59JSingle Card: a Jack
(more)5♣ 7♦ 8♦ 9♣ J♣
3 to a Flush: 2TQ2 to a Royal Flush: TQ
(more)2♣ 3♦ 9♦ 10♣ Q♣
3 to a Flush: 3TQ2 to a Royal Flush: TQ
(more)2♣ 3♦ 9♣ 10♦ Q♦
3 to a Flush: 4TQ2 to a Royal Flush: TQ
(more)2♣ 4♦ 9♣ 10♦ Q♦
3 to a Flush: 5TQ2 to a Royal Flush: TQ
(more)2♣ 5♦ 9♣ 10♦ Q♦
3 to a Flush: 6TQ2 to a Royal Flush: TQ
(more)2♣ 6♦ 9♣ 10♦ Q♦
3 to a Flush: 28JSingle Card: a Jack
(more)2♣ 3♦ 8♣ 10♦ J♣
3 to a Flush: 38JSingle Card: a Jack
(more)2♣ 3♦ 8♦ 10♣ J♦
3 to a Flush: 48JSingle Card: a Jack
(more)2♣ 4♦ 8♦ 10♣ J♦
3 to a Flush: 58JSingle Card: a Jack
(more)2♣ 5♦ 8♦ 10♣ J♦
3 to a Flush: 68JSingle Card: a Jack
(more)2♣ 6♦ 8♦ 10♣ J♦
3 to a Flush: 69JSingle Card: a Jack
(more)2♣ 6♦ 9♦ 10♣ J♦
2 to a Straight: JA2 to a Royal Flush: TJ
(more)2♣ 9♦ 10♣ J♣ A♦
3 to a Flush: 7TQ2 to a Royal Flush: TQ
(more)2♣ 7♦ 9♣ 10♦ Q♦
3 to a Flush: 23JSingle Card: a Jack
(more)2♣ 3♣ 8♦ 10♦ J♣
3 to a Flush: 24JSingle Card: a Jack
(more)2♣ 4♣ 8♦ 10♦ J♣
3 to a Flush: 34JSingle Card: a Jack
(more)3♣ 4♣ 8♦ 10♦ J♣
3 to a Flush: 25JSingle Card: a Jack
(more)2♣ 5♣ 8♦ 10♦ J♣
3 to a Flush: 35JSingle Card: a Jack
(more)3♣ 5♣ 8♦ 10♦ J♣
3 to a Flush: 45JSingle Card: a Jack
(more)4♣ 5♣ 8♦ 10♦ J♣
3 to a Flush: 26JSingle Card: a Jack
(more)2♣ 6♣ 8♦ 10♦ J♣
3 to a Flush: 36JSingle Card: a Jack
(more)3♣ 6♣ 8♦ 10♦ J♣
3 to a Flush: 46JSingle Card: a Jack
(more)4♣ 6♣ 8♦ 10♦ J♣
3 to a Flush: 56JSingle Card: a Jack
(more)5♣ 6♣ 8♦ 10♦ J♣
3 to a Flush: 27JSingle Card: a Jack
(more)2♣ 7♣ 8♦ 10♦ J♣
3 to a Flush: 37JSingle Card: a Jack
(more)3♣ 7♣ 8♦ 10♦ J♣
3 to a Flush: 47JSingle Card: a Jack
(more)4♣ 7♣ 8♦ 10♦ J♣
3 to a Flush: 57JSingle Card: a Jack
(more)5♣ 7♣ 8♦ 10♦ J♣
3 to a Flush: 67JSingle Card: a Jack
(more)6♣ 7♣ 8♦ 10♦ J♣
3 to a Flush: 2JK2 to a Royal Flush: JK
(more)2♣ 9♦ J♣ Q♦ K♣
3 to a Flush: 3JK2 to a Royal Flush: JK
(more)3♣ 9♦ J♣ Q♦ K♣
3 to a Flush: 4JK2 to a Royal Flush: JK
(more)4♣ 9♦ J♣ Q♦ K♣
3 to a Flush: 5JK2 to a Royal Flush: JK
(more)5♣ 9♦ J♣ Q♦ K♣
3 to a Flush: 6JK2 to a Royal Flush: JK
(more)6♣ 9♦ J♣ Q♦ K♣
3 to a Flush: 7JK2 to a Royal Flush: JK
(more)7♣ 9♦ J♣ Q♦ K♣
3 to a Flush: 8JK2 to a Royal Flush: JK
(more)8♣ 9♦ J♣ Q♦ K♣
3 to a Flush: 2QK2 to a Royal Flush: QK
(more)2♣ 9♦ J♦ Q♣ K♣
3 to a Flush: 3QK2 to a Royal Flush: QK
(more)3♣ 9♦ J♦ Q♣ K♣
3 to a Flush: 4QK2 to a Royal Flush: QK
(more)4♣ 9♦ J♦ Q♣ K♣
3 to a Flush: 5QK2 to a Royal Flush: QK
(more)5♣ 9♦ J♦ Q♣ K♣
3 to a Flush: 6QK2 to a Royal Flush: QK
(more)6♣ 9♦ J♦ Q♣ K♣
3 to a Flush: 7QK2 to a Royal Flush: QK
(more)7♣ 9♦ J♦ Q♣ K♣
3 to a Flush: 8QK2 to a Royal Flush: QK
(more)8♣ 9♦ J♦ Q♣ K♣