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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 Flush400.973400,874,8080.00002049,724.333.220.008064
Straight Flush25.9732,086,388,3760.0001059,553.940.070.002719
Four Aces with any 2,3,4200.9741,071,008,5080.00005418,611.652.150.010798
Four 2's, 3's, 4's with any A,2,3,480.9732,833,301,4480.0001427,035.340.910.011509
Four Aces80.9732,995,835,1720.0001506,653.650.960.012170
Four 2's, 3's, 4's40.9737,619,773,4040.0003822,615.990.610.015663
Four 5's through K's25.7332,253,727,0680.001618618.010.990.041633
Full House6.919224,842,877,2800.01128088.650.400.078045
Flush4.933254,223,632,0160.01275478.410.200.062914
Straight3.946303,270,147,4080.01521465.730.130.060036
Three of a Kind2.4731,455,137,298,2640.07300113.700.160.180530
Two Pair1.22982,511,707,034,3120.1260067.940.010.154962
Jacks or Better0.98654,005,062,943,6240.2009244.980.000.198211
Nothing0.243311,129,725,675,5120.5583501.790.300.135847
Totals19,933,230,517,2001.0000001.0010.110.973101

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush400.973405,987,8520.00002049,098.103.260.008167
Straight Flush25.9732,094,711,4560.0001059,515.980.070.002729
Four Aces with any 2,3,4200.9741,102,807,5240.00005518,074.992.210.011119
Four 2's, 3's, 4's with any A,2,3,480.9732,838,643,5960.0001427,022.100.910.011531
Four Aces80.9733,060,549,3120.0001546,512.960.980.012433
Four 2's, 3's, 4's40.9737,619,779,5960.0003822,615.990.610.015663
Four 5's through K's25.7332,246,683,6680.001618618.150.990.041624
Full House6.919225,164,316,3840.01129688.530.400.078157
Flush4.933253,580,121,1920.01272178.610.200.062755
Straight3.946302,068,004,1480.01515465.990.130.059798
Three of a Kind2.4731,458,636,985,7040.07317613.670.160.180965
Two Pair1.22982,515,948,102,2960.1262197.920.010.155224
Jacks or Better0.98653,975,144,540,1920.1994235.010.000.196731
Nothing0.243311,153,319,284,2800.5595341.790.300.136135
Totals19,933,230,517,2001.0000001.0010.240.973029

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four 5's through K's; Four 2's, 3's, 4's with any A,2,3,4; Four Ace...
4 of a Kind2222; 3333; 4444; AAAA
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...
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
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 Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 9TJ; 9JQ
4 to a StraightJQKA
3 to a Straight Flush8JQ; 9JK; 9QK
4 to a Straight9JQK; TJQA; TQKA
3 to a Straight Flush89J; 8TJ; 9TQ
4 to a StraightTJKA
2 to a Royal FlushJQ; JK; QK
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a Flush
(more)2JA; 2JK; 2QA; 2QK; 2KA; 3JA; 3JK; 3QA; 3QK; 3KA; 4JA; 4JK; 4QA; 4QK...
2 to a Royal FlushJA; QA; KA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a StraightTJQ; JQK
4 to a StraightA234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ
Single Cardan Ace
3 to a Flush
(more)23K; 24K; 25K; 26K; 27K; 28K; 29Q; 29K; 2TK; 34K; 35K; 36K; 37K; 38K...
2 to a Royal FlushTQ; TK
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 256
4 to a Straight4578; 5679; 5689; 5789; 678T; 679T; 689T
3 to a Straight Flush569; 579; 589; 67T; 68T; 69T
4 to a Straight2356; 2456; 3457; 3467; 3567; 4568
3 to a Straight Flush246; 357; 458
4 to a Straight4678
3 to a Straight Flush347; 367; 468; 478
4 to a Straight2346
3 to a Flush
(more)237; 238; 239; 23T; 23Q; 247; 248; 249; 24T; 24Q; 257; 258; 259; 25T...
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Straight: KASingle Card: an Ace
(more)2♣ 3♣ 6♦ K♣ A♦
2 to a Straight: QASingle Card: an Ace
(more)2♣ 3♣ 6♦ Q♣ A♦
2 to a Straight: JASingle Card: an Ace
(more)2♣ 3♣ 6♦ J♣ A♦
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
Single Card: an Ace2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ A♥
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: 56Q
(more)2♣ 3♣ 5♦ 6♦ Q♦
3 to a Flush: 28QSingle Card: a Queen
(more)2♣ 3♦ 8♣ 9♦ Q♣
3 to a Flush: 38QSingle Card: a Queen
(more)2♣ 3♦ 8♦ 9♣ Q♦
3 to a Flush: 48QSingle Card: a Queen
(more)2♣ 4♦ 8♦ 9♣ Q♦
Single Card: a Queen3 to a Flush: 29Q
(more)2♣ 3♦ 4♦ 9♣ Q♣
Single Card: a Queen3 to a Flush: 39Q
(more)2♣ 3♦ 4♣ 9♦ Q♦
Single Card: a Queen3 to a Flush: 49Q
(more)2♣ 3♣ 4♦ 9♦ Q♦
Single Card: a Queen3 to a Flush: 59Q
(more)2♣ 3♣ 5♦ 9♦ Q♦
Single Card: a Queen3 to a Flush: 69Q
(more)2♣ 3♣ 6♦ 9♦ Q♦
Single Card: a Queen3 to a Flush: 79Q
(more)2♣ 3♣ 7♦ 9♦ 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♦
3 to a Flush: 23QSingle Card: a Queen
(more)2♣ 3♣ 8♦ 9♦ Q♣
3 to a Flush: 24QSingle Card: a Queen
(more)2♣ 4♣ 8♦ 9♦ Q♣
3 to a Flush: 34QSingle Card: a Queen
(more)3♣ 4♣ 8♦ 9♦ Q♣
3 to a Flush: 25QSingle Card: a Queen
(more)2♣ 5♣ 8♦ 9♦ Q♣
3 to a Flush: 35QSingle Card: a Queen
(more)3♣ 5♣ 8♦ 9♦ Q♣
3 to a Flush: 45QSingle Card: a Queen
(more)4♣ 5♣ 8♦ 9♦ Q♣
3 to a Flush: 26QSingle Card: a Queen
(more)2♣ 6♣ 8♦ 9♦ Q♣
3 to a Flush: 36QSingle Card: a Queen
(more)3♣ 6♣ 8♦ 9♦ Q♣
3 to a Flush: 46QSingle Card: a Queen
(more)4♣ 6♣ 8♦ 9♦ Q♣
3 to a Flush: 27QSingle Card: a Queen
(more)2♣ 7♣ 8♦ 9♦ Q♣
3 to a Flush: 37QSingle Card: a Queen
(more)3♣ 7♣ 8♦ 9♦ Q♣
3 to a Flush: 47QSingle Card: a Queen
(more)4♣ 7♣ 8♦ 9♦ Q♣
3 to a Flush: 2JK2 to a Royal Flush: JK
(more)2♣ 3♦ J♣ Q♦ K♣
3 to a Flush: 3JK2 to a Royal Flush: JK
(more)2♣ 3♦ J♦ Q♣ K♦
3 to a Flush: 4JK2 to a Royal Flush: JK
(more)2♣ 4♦ J♦ Q♣ K♦
3 to a Flush: 5JK2 to a Royal Flush: JK
(more)2♣ 5♦ J♦ Q♣ K♦
3 to a Flush: 6JK2 to a Royal Flush: JK
(more)2♣ 6♦ J♦ Q♣ K♦
3 to a Flush: 7JK2 to a Royal Flush: JK
(more)2♣ 7♦ J♦ Q♣ K♦
3 to a Flush: 8JK2 to a Royal Flush: JK
(more)2♣ 8♦ J♦ Q♣ K♦
3 to a Flush: 2QK2 to a Royal Flush: QK
(more)2♣ 3♦ J♦ Q♣ K♣
3 to a Flush: 3QK2 to a Royal Flush: QK
(more)2♣ 3♦ J♣ Q♦ K♦
3 to a Flush: 4QK2 to a Royal Flush: QK
(more)2♣ 4♦ J♣ Q♦ K♦
3 to a Flush: 5QK2 to a Royal Flush: QK
(more)2♣ 5♦ J♣ Q♦ K♦
3 to a Flush: 6QK2 to a Royal Flush: QK
(more)2♣ 6♦ J♣ Q♦ K♦
3 to a Flush: 7QK2 to a Royal Flush: QK
(more)2♣ 7♦ J♣ Q♦ K♦
3 to a Flush: 8QK2 to a Royal Flush: QK
(more)2♣ 8♦ J♣ Q♦ K♦
4 to a Straight: 9TQK2 to a Royal Flush: QK
(more)2♣ 9♦ 10♦ Q♣ K♣
2 to a Royal Flush: TQSingle Card: an Ace
(more)2♣ 3♦ 10♥ Q♥ A♣
4 to a Straight: 9TJK2 to a Royal Flush: JK
(more)2♣ 9♦ 10♦ J♣ K♣
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: 7TQ2 to a Royal Flush: TQ
(more)2♣ 7♦ 9♣ 10♦ Q♦
4 to a Straight: 23463 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ 8♦
4 to a Straight: 23563 to a Straight Flush: 236
(more)2♣ 3♣ 5♦ 6♣ 8♦
4 to a Straight: 23463 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ 8♦
4 to a Straight: 23563 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ 8♦
3 to a Flush: 29JSingle Card: a Jack
(more)2♣ 3♦ 9♣ 10♦ J♣
3 to a Flush: 39JSingle Card: a Jack
(more)2♣ 3♦ 9♦ 10♣ J♦
3 to a Flush: 49JSingle Card: a Jack
(more)2♣ 4♦ 9♦ 10♣ J♦
4 to a Straight: 24563 to a Straight Flush: 256
(more)2♣ 4♦ 5♣ 6♣ 9♦
4 to a Straight: 34673 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ 7♦
4 to a Straight: 35673 to a Straight Flush: 236
(more)2♣ 3♣ 5♦ 6♣ 7♦
4 to a Straight: 35673 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ 7♦
4 to a Straight: 45683 to a Straight Flush: 256
(more)2♣ 4♦ 5♣ 6♣ 8♦
3 to a Straight Flush: 3574 to a Straight: 5789
(more)3♣ 5♣ 7♣ 8♦ 9♦
3 to a Straight Flush: 3674 to a Straight: 678T
(more)3♣ 6♣ 7♣ 8♦ 10♦
3 to a Straight Flush: 3674 to a Straight: 679T
(more)3♣ 6♣ 7♣ 9♦ 10♦
3 to a Straight Flush: 4684 to a Straight: 689T
(more)4♣ 6♣ 8♣ 9♦ 10♦