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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 Flush800399,826,9680.00002049,854.6412.740.016047
Straight Flush1002,154,197,7240.0001089,253.201.020.010807
Four of a Kind80052,157,949,7680.002617382.171,662.532.093306
Full House12135,947,069,4960.006820146.620.560.081841
Flush8198,923,372,6280.009979100.210.260.079836
Straight5201,567,209,6760.01011298.890.040.050561
Three of a Kind31,664,096,730,1200.08348411.980.000.250451
Two Pair11,922,012,037,0000.09642310.370.350.096423
Jacks or Better14,399,064,065,9800.2206904.530.800.220690
Nothing011,356,908,057,8400.5697471.764.790.000000
Totals19,933,230,517,2001.0000002.321,683.102.899961

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800408,303,0600.00002048,819.6913.010.016387
Straight Flush1002,185,656,8040.0001109,120.021.030.010965
Four of a Kind80052,121,391,1680.002615382.441,661.362.091839
Full House12135,810,083,3760.006813146.770.560.081759
Flush8200,237,500,2360.01004599.550.260.080363
Straight5202,458,002,5200.01015798.460.040.050784
Three of a Kind31,662,701,915,0280.08341411.990.000.250241
Two Pair11,920,240,459,3240.09633410.380.350.096334
Jacks or Better14,404,679,588,5480.2209724.530.800.220972
Nothing011,352,387,617,1360.5695211.764.790.000000
Totals19,933,230,517,2001.0000002.321,682.222.899643

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
Pat HandStraight Flush; Royal Flush
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
Pat HandFlush
4 to a Straight Flush2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
Pat HandStraight
4 to a Straight Flush
(more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578...
1 PairJJ; QQ; KK; AA
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
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; 9TJQ; TJQK
3 to a Straight Flush345; 456; 567; 678; 679; 789; 79T; 7TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9QK
4 to a Straight89TJ
3 to a Straight Flush689; 89T; 89J; 8TJ; 9JK
2 to a Royal FlushJQ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 568; 578; 78T
4 to a StraightJQKA
2 to a Royal FlushJA; JK; QA; QK; KA
3 to a Straight Flush79J
Single Carda Jack
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 78J; 89Q; 8TQ; 9TK
Single Carda Queen
Single Carda King
Single Cardan Ace
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
Single Carda Ten
Single Carda Nine
Single Cardan Eight
Single Carda Seven

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
Single Card: an AceSingle Card: a King
(more)2♣ 3♣ 4♦ K♣ A♦
Single Card: a QueenSingle Card: a Jack
(more)2♣ 3♣ 4♦ J♣ Q♥
Single Card: a KingSingle Card: a Queen
(more)2♣ 3♣ 4♦ Q♣ K♥
Single Card: an AceSingle Card: a Queen
(more)2♣ 3♣ 4♦ Q♣ A♥
Single Card: a Jack2 to a Royal Flush: JA
(more)2♣ 3♣ 4♦ J♦ A♦
Single Card: an AceSingle Card: a Jack
(more)2♣ 6♦ 8♣ J♣ A♥
Single Card: a KingSingle Card: a Jack
(more)2♣ 3♣ 8♦ J♣ K♥
Single Card: a NineSingle Card: a Ten
(more)2♣ 3♣ 4♦ 9♦ 10♣
Single Card: an EightSingle Card: a Nine
(more)2♣ 3♣ 4♦ 8♦ 9♣
Single Card: a SevenSingle Card: a Nine
(more)2♣ 3♣ 4♦ 7♥ 9♣
Single Card: a FiveSingle Card: a Ten
(more)2♣ 3♦ 5♥ 7♣ 10♣
Single Card: an EightSingle Card: a Ten
(more)2♣ 3♣ 4♦ 8♥ 10♣
Single Card: a Jack2 to a Royal Flush: KA
(more)2♣ 3♦ J♣ K♦ A♦
Single Card: a Queen2 to a Royal Flush: KA
(more)2♣ 3♦ Q♣ K♦ A♦
Single Card: a Jack2 to a Royal Flush: QA
(more)2♣ 3♦ J♣ Q♦ A♦
Single Card: a SixSingle Card: a Ten
(more)2♣ 3♦ 6♥ 7♣ 10♣
Single Card: a Queen2 to a Royal Flush: JA
(more)2♣ 3♦ J♣ Q♦ A♣
Single Card: a FiveSingle Card: a Nine
(more)2♣ 3♦ 5♥ 6♣ 9♣
Single Card: a SevenSingle Card: an Eight
(more)2♣ 3♣ 4♦ 7♦ 8♣
Single Card: a King2 to a Royal Flush: JA
(more)2♣ 3♦ J♣ K♥ A♣
Single Card: a King2 to a Royal Flush: QA
(more)2♣ 3♦ Q♣ K♥ A♣
Single Card: a SevenSingle Card: a Ten
(more)2♣ 3♣ 4♦ 7♥ 10♣
Single Card: a SixSingle Card: a Nine
(more)2♣ 3♣ 4♦ 6♥ 9♣
Single Card: a SixSingle Card: an Eight
(more)2♣ 3♣ 4♦ 6♥ 8♣
Single Card: a Jack3 to a Straight Flush: 79J
(more)2♣ 3♣ 7♦ 9♦ J♦
Single Card: a FiveSingle Card: an Eight
(more)2♣ 3♣ 5♦ 6♥ 8♥
3 to a Straight Flush: 78JSingle Card: a Jack
(more)2♣ 7♦ 8♦ J♦ Q♣
Single Card: a SixSingle Card: a Seven
(more)2♣ 3♣ 4♦ 6♦ 7♣
Single Card: a FourSingle Card: a Nine
(more)2♣ 3♦ 4♥ 7♣ 9♣
Single Card: a FourSingle Card: a Ten
(more)2♣ 3♦ 4♥ 9♣ 10♣
Single Card: an Ace3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ 6♦ A♣
Single Card: a Jack3 to a Straight Flush: 7TJ
(more)2♣ 7♦ 8♣ 10♦ J♦
Single Card: an Ace3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ 6♣ A♦
Single Card: a Queen3 to a Straight Flush: 9TK
(more)2♣ 9♦ 10♦ Q♣ K♦
4 to a Straight: JQKA2 to a Royal Flush: JQ
(more)2♣ J♣ Q♣ K♦ A♦
Single Card: a Queen3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ Q♦ A♣
Single Card: a Queen3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ Q♦ A♣
Single Card: a Queen3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ Q♣ A♦
Single Card: a Queen3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ Q♦ A♣
Single Card: a Queen3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ Q♣ A♦
Single Card: a Queen3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ Q♣ A♦
Single Card: a Queen3 to a Straight Flush: 89Q
(more)2♣ 8♦ 9♦ 10♣ Q♦
Single Card: a Queen3 to a Straight Flush: 8TQ
(more)2♣ 8♦ 9♣ 10♦ Q♦
Single Card: a FourSingle Card: an Eight
(more)2♣ 3♦ 4♥ 7♣ 8♣
Single Card: a FiveSingle Card: a Seven
(more)2♣ 3♣ 5♦ 6♥ 7♥
Single Card: a King3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ K♦ A♣
Single Card: a King3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ K♦ A♣
Single Card: a King3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ K♣ A♦
Single Card: a King3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ K♦ A♣
Single Card: a King3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ K♣ A♦
Single Card: a King3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ K♣ A♦
Single Card: a King3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ K♦
Single Card: an Ace3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ A♦
Single Card: an Ace3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ A♦
3 to a Straight Flush: A23Single Card: a Jack
(more)2♣ 3♣ 9♦ J♦ A♣
3 to a Straight Flush: A24Single Card: a Jack
(more)2♣ 4♣ 9♦ J♦ A♣
3 to a Straight Flush: A34Single Card: a Jack
(more)3♣ 4♣ 9♦ J♦ A♣
3 to a Straight Flush: A25Single Card: a Jack
(more)2♣ 5♣ 9♦ J♦ A♣
3 to a Straight Flush: A35Single Card: a Jack
(more)3♣ 5♣ 9♦ J♦ A♣
3 to a Straight Flush: A45Single Card: a Jack
(more)4♣ 5♣ 9♦ J♦ A♣
Single Card: a King3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ K♥
Single Card: a Queen3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ Q♦
Single Card: a Queen3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ Q♦
4 to a Straight: 89TJ3 to a Straight Flush: 9TJ
(more)8♣ 9♦ 10♦ J♦ K♣
Single Card: an Ace3 to a Straight Flush: 89Q
(more)8♣ 9♣ 10♦ Q♣ A♦
Single Card: a King3 to a Straight Flush: 8TQ
(more)8♣ 9♦ 10♣ Q♣ K♦
Single Card: an Ace3 to a Straight Flush: 8TQ
(more)8♣ 9♦ 10♣ Q♣ A♦
Single Card: a FourSingle Card: a Seven2♣ 3♦ 4♥ 6♣ 7♣
Single Card: a King3 to a Straight Flush: 89Q8♣ 9♣ 10♦ Q♣ K♥
Garbage: Discard everythingSingle Card: a Seven2♣ 3♦ 5♦ 6♣ 7♣
3 to a Straight Flush: 8TQ2 to a Royal Flush: KA8♣ 10♣ Q♣ K♦ A♦