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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 Flush400.4888397,092,5280.00002050,197.953.180.007978
Straight Flush25.48882,125,771,5600.0001079,376.940.060.002718
Four of a Kind12.988846,736,617,4400.002345426.500.340.030454
Full House6.9327227,218,561,9200.01139987.730.400.079026
Flush5.1883267,985,184,8320.01344474.380.240.069753
Straight3.7108261,376,570,7760.01311376.260.100.048658
Three of a Kind2.47761,459,685,388,8280.07322913.660.160.181430
Two Pair1.73322,527,525,441,0440.1268007.890.070.219767
Jacks or Better0.98884,077,105,810,9840.2045384.890.000.202245
Nothing0.244411,063,074,077,2880.5550071.800.300.135638
Totals19,933,230,517,2001.0000001.004.860.977667

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush400.4888399,250,4400.00002049,926.633.200.008022
Straight Flush25.48882,124,910,8720.0001079,380.740.060.002717
Four of a Kind12.988846,737,159,2400.002345426.500.340.030455
Full House6.9327227,248,794,3600.01140087.720.400.079037
Flush5.1883266,677,716,1680.01337974.750.240.069412
Straight3.7108261,072,831,5040.01309776.350.100.048601
Three of a Kind2.47761,459,918,608,9600.07324013.650.160.181459
Two Pair1.73322,528,189,342,6400.1268337.880.070.219824
Jacks or Better0.98884,083,259,984,0560.2048474.880.000.202551
Nothing0.244411,057,601,918,9600.5547321.800.300.135571
Totals19,933,230,517,2001.0000001.004.870.977648

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
3 to a Straight Flush8TJ; 8JQ; 9TJ; 9JQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; JQKA
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 9TQ; 9JK; 9QK
2 to a Royal FlushJQ
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Flush
(more)2JA; 2QA; 2KA; 3JA; 3QA; 3KA; 4JA; 4QA; 4KA; 5JA; 5QA; 5KA; 6JA; 6QA...
2 to a Royal FlushJA; JK; QA; QK; KA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a StraightTJQ; JQK
2 to a StraightJQ; JK; QK
2 to a StraightQA; KA
2 to a Royal FlushTJ
2 to a StraightJA
3 to a Flush
(more)23Q; 23K; 24Q; 24K; 25Q; 25K; 26Q; 26K; 27Q; 27K; 28Q; 28K; 29A; 29J...
2 to a Royal FlushTQ; TK
3 to a Flush26A; 27A; 28A; 36A; 37A; 38A; 46A; 47A; 48A; 56A; 57A; 58A; 67A; 68A; 78A
Single Carda Jack; a 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; 23J; 247; 248; 249; 24T; 24J; 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 Royal Flush: TQ2 to a Straight: QA
(more)2♣ 3♣ 10♦ Q♦ A♥
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
3 to a Flush: 2JK2 to a Royal Flush: JK
(more)2♣ 3♦ 10♦ J♣ K♣
3 to a Flush: 3JK2 to a Royal Flush: JK
(more)2♣ 3♦ 10♣ J♦ K♦
3 to a Flush: 4JK2 to a Royal Flush: JK
(more)2♣ 4♦ 10♣ J♦ K♦
3 to a Flush: 5JK2 to a Royal Flush: JK
(more)2♣ 5♦ 10♣ J♦ K♦
3 to a Flush: 6JK2 to a Royal Flush: JK
(more)2♣ 6♦ 10♣ J♦ K♦
3 to a Flush: 7JK2 to a Royal Flush: JK
(more)2♣ 7♦ 10♣ J♦ K♦
3 to a Flush: 2QK2 to a Royal Flush: QK
(more)2♣ 3♦ 10♦ Q♣ K♣
3 to a Flush: 3QK2 to a Royal Flush: QK
(more)2♣ 3♦ 10♣ Q♦ K♦
3 to a Flush: 4QK2 to a Royal Flush: QK
(more)2♣ 4♦ 10♣ Q♦ K♦
3 to a Flush: 5QK2 to a Royal Flush: QK
(more)2♣ 5♦ 10♣ Q♦ K♦
3 to a Flush: 6QK2 to a Royal Flush: QK
(more)2♣ 6♦ 10♣ Q♦ K♦
3 to a Flush: 7QK2 to a Royal Flush: QK
(more)2♣ 7♦ 10♣ Q♦ K♦
3 to a Flush: 8QK2 to a Royal Flush: QK
(more)2♣ 8♦ 10♣ Q♦ K♦
3 to a Flush: 8JK2 to a Royal Flush: JK
(more)2♣ 8♦ 10♣ J♦ K♦
Single Card: a Jack3 to a Flush: 56J
(more)2♣ 3♣ 5♦ 6♦ J♦
Single Card: a Jack3 to a Flush: 57J
(more)2♣ 3♣ 5♦ 7♦ J♦
Single Card: a Jack3 to a Flush: 67J
(more)2♣ 3♣ 6♦ 7♦ J♦
3 to a Flush: 28JSingle Card: a Jack
(more)2♣ 3♦ 8♣ 9♦ J♣
3 to a Flush: 38JSingle Card: a Jack
(more)2♣ 3♦ 8♦ 9♣ J♦
3 to a Flush: 48JSingle Card: a Jack
(more)2♣ 4♦ 8♦ 9♣ J♦
2 to a Straight: JA2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ A♦
Single Card: a Jack3 to a Flush: 29J
(more)2♣ 3♦ 4♦ 9♣ J♣
Single Card: a Jack3 to a Flush: 39J
(more)2♣ 3♦ 4♣ 9♦ J♦
Single Card: a Jack3 to a Flush: 49J
(more)2♣ 3♣ 4♦ 9♦ J♦
Single Card: a Jack3 to a Flush: 59J
(more)2♣ 3♣ 5♦ 9♦ J♦
Single Card: a Jack3 to a Flush: 69J
(more)2♣ 3♣ 6♦ 9♦ J♦
2 to a Royal Flush: TQ3 to a Flush: 2TQ
(more)2♣ 3♦ 4♦ 10♣ Q♣
2 to a Royal Flush: TQ3 to a Flush: 3TQ
(more)2♣ 3♦ 4♣ 10♦ Q♦
2 to a Royal Flush: TQ3 to a Flush: 4TQ
(more)2♣ 3♣ 4♦ 10♦ Q♦
2 to a Royal Flush: TQ3 to a Flush: 5TQ
(more)2♣ 3♣ 5♦ 10♦ Q♦
2 to a Royal Flush: TQ3 to a Flush: 6TQ
(more)2♣ 3♣ 6♦ 10♦ Q♦
2 to a Royal Flush: TQ3 to a Flush: 7TQ
(more)2♣ 3♣ 7♦ 10♦ Q♦
Single Card: a Jack3 to a Flush: 58J
(more)2♣ 3♣ 5♦ 8♦ J♦
Single Card: a Jack3 to a Flush: 68J
(more)2♣ 3♣ 6♦ 8♦ J♦
3 to a Flush: 27JSingle Card: a Jack
(more)2♣ 7♣ 8♦ 9♦ J♣
3 to a Flush: 37JSingle Card: a Jack
(more)3♣ 7♣ 8♦ 9♦ J♣
3 to a Flush: 47JSingle Card: a Jack
(more)4♣ 7♣ 8♦ 9♦ J♣
4 to a Straight: 9JQK2 to a Royal Flush: JQ
(more)2♣ 9♦ J♣ Q♣ K♦
4 to a Straight: TJQA2 to a Royal Flush: JQ
(more)2♣ 10♦ J♣ Q♣ A♦
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: 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: 57Q
(more)2♣ 3♣ 5♦ 7♦ Q♦
Single Card: a Queen3 to a Flush: 67Q
(more)2♣ 3♣ 6♦ 7♦ Q♦
3 to a Flush: 23JSingle Card: a Jack
(more)2♣ 3♣ 8♦ 9♦ J♣
3 to a Flush: 24JSingle Card: a Jack
(more)2♣ 4♣ 8♦ 9♦ J♣
3 to a Flush: 34JSingle Card: a Jack
(more)3♣ 4♣ 8♦ 9♦ J♣
3 to a Flush: 25JSingle Card: a Jack
(more)2♣ 5♣ 8♦ 9♦ J♣
3 to a Flush: 35JSingle Card: a Jack
(more)3♣ 5♣ 8♦ 9♦ J♣
3 to a Flush: 45JSingle Card: a Jack
(more)4♣ 5♣ 8♦ 9♦ J♣
3 to a Flush: 26JSingle Card: a Jack
(more)2♣ 6♣ 8♦ 9♦ J♣
3 to a Flush: 36JSingle Card: a Jack
(more)3♣ 6♣ 8♦ 9♦ J♣
3 to a Flush: 46JSingle Card: a Jack
(more)4♣ 6♣ 8♦ 9♦ J♣
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: 56Q
(more)2♣ 3♣ 5♦ 6♦ Q♦
Single Card: a Queen3 to a Flush: 45Q
(more)2♣ 4♦ 5♦ 6♣ Q♦