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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 Flush1,200548,474,4840.00002836,343.0439.560.033019
Straight Flush752,311,246,3200.0001168,624.450.640.008696
Four of a Kind37.545,832,127,7480.002299434.923.070.086223
Full House12221,653,056,8520.01112089.931.360.133437
Flush7.5325,267,389,9360.01631861.280.700.122384
Straight6346,626,694,1880.01738957.510.440.104336
Three of a Kind4.51,408,009,151,6520.07063614.160.890.317863
Two Pair0.52,424,622,400,3880.1216378.220.020.060819
Jacks or Better0.53,387,271,931,9280.1699315.880.030.084965
Nothing011,771,088,043,7040.5905261.690.530.000000
Totals19,933,230,517,2001.0000002.4447.250.951743

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush1,200547,601,1120.00002736,401.0039.500.032966
Straight Flush752,312,236,6080.0001168,620.760.640.008700
Four of a Kind37.545,829,239,1800.002299434.953.070.086218
Full House12221,624,787,4200.01111889.941.360.133420
Flush7.5326,077,419,7200.01635861.130.700.122689
Straight6345,840,952,6800.01735057.640.440.104100
Three of a Kind4.51,407,845,405,6160.07062814.160.890.317826
Two Pair0.52,424,321,807,7680.1216228.220.020.060811
Jacks or Better0.53,386,587,751,0640.1698975.890.030.084948
Nothing011,772,243,316,0320.5905841.690.530.000000
Totals19,933,230,517,2001.0000002.4447.190.951678

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
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
1 PairJJ; QQ; KK; AA
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
1 Pair77; 88
3 to a Straight Flush9TJ
1 Pair22; 33; 44; 55; 66; 99; TT
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 345; 346; 356; 456; 457...
4 to a StraightA234; A235; A245; A345; 2456; 9JQK; TJQA; TJKA; TQKA; JQKA
3 to a Straight Flush236; 246; 8JQ; 9JK; 9QK
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a Straight Flush78J; 79J; 7TJ; 89Q; 8TQ; 9TK
4 to a Straight4578; 78TJ
4 to a Straight4678; 5679; 5689; 5789; 678T; 679T; 689T; 789J; 79TJ; 89TQ
3 to a Straight Flush367; 478; 569; 579; 589; 67T; 68T; 69T
4 to a Straight2356; 3457; 3467; 3567; 4568
3 to a Straight Flush256; 347; 357; 458; 468
4 to a Straight2346
3 to a Flush
(more)2TA; 2TK; 2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3TA; 3TK; 3JA; 3JQ; 3JK; 3QA...
2 to a Royal FlushTJ; JA; JQ; JK; QA; QK; KA
3 to a StraightTJQ
3 to a Flush
(more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26J; 26Q; 27T; 27J; 27Q; 28T; 28J; 28Q...
2 to a Royal FlushTQ
3 to a Flush
(more)23K; 24K; 25K; 26A; 26K; 27A; 27K; 28A; 34K; 35K; 36A; 36K; 37A; 37K...
3 to a Straight9TJ; JQK
2 to a Royal FlushTA; TK
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...
2 to a Straight Flush9J
3 to a Straight89T; 9JQ; TJK; TQK
2 to a StraightJQ
2 to a Straight Flush8J; 9Q
Single Carda Jack; a Queen
3 to a Straight456; 567; 678; 789
Single Carda King
Single Cardan Ace
2 to a Straight Flush67; 9T
2 to a Straight Flush56; 78
3 to a Straight345
2 to a Straight Flush89
2 to a Straight Flush45
2 to a Straight Flush79; 8T
2 to a Straight Flush34; 35; 46; 57; 68; 7T
Single Carda Ten
2 to a Straight Flush24; 25; 36; 47; 58
2 to a Straight Flush23
2 to a Straight Flush69
GarbageDiscard everything

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♣ 6♦ K♦ A♥
Single Card: a KingSingle Card: a Queen
(more)2♣ 3♣ 8♦ Q♦ K♥
Single Card: an AceSingle Card: a Queen
(more)2♣ 6♦ 9♣ Q♦ A♥
Single Card: a Jack2 to a Straight Flush: 8J
(more)2♣ 3♣ 7♦ 8♥ J♥
3 to a Straight: 345Single Card: a King
(more)3♣ 4♣ 5♦ 8♥ K♦
3 to a Straight: TJQ2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ Q♦
Single Card: an Ace3 to a Straight: 89T
(more)2♣ 8♣ 9♦ 10♦ A♥
2 to a Straight Flush: 9TSingle Card: an Ace
(more)2♣ 3♣ 9♦ 10♦ A♥
Single Card: a NineGarbage: Discard everything
(more)2♣ 3♦ 4♥ 7♣ 9♠
Single Card: a King3 to a Straight: 789
(more)2♣ 7♣ 8♦ 9♦ K♥
Single Card: an Ace3 to a Straight: 789
(more)2♣ 7♣ 8♦ 9♦ A♥
3 to a Straight: 678Single Card: a Queen
(more)6♣ 7♣ 8♦ Q♦ K♥
2 to a Royal Flush: JQ3 to a Flush: 2JQ
(more)2♣ 3♦ 4♦ J♣ Q♣
2 to a Royal Flush: JQ3 to a Flush: 3JQ
(more)2♣ 3♦ 4♣ J♦ Q♦
2 to a Royal Flush: JQ3 to a Flush: 4JQ
(more)2♣ 3♣ 4♦ J♦ Q♦
2 to a Royal Flush: JQ3 to a Flush: 5JQ
(more)2♣ 3♣ 5♦ J♦ Q♦
2 to a Royal Flush: JQ3 to a Flush: 6JQ
(more)2♣ 3♣ 6♦ J♦ Q♦
2 to a Royal Flush: JQ3 to a Flush: 7JQ
(more)2♣ 3♣ 7♦ J♦ Q♦
2 to a Straight Flush: 89Single Card: a King
(more)2♣ 3♦ 8♥ 9♥ K♣
2 to a Straight Flush: 89Single Card: an Ace
(more)2♣ 3♣ 8♦ 9♦ A♥
Single Card: a King3 to a Straight: 456
(more)4♣ 5♣ 6♦ 9♦ K♥
Single Card: a King3 to a Straight: 567
(more)2♣ 5♣ 6♦ 7♦ K♥
Single Card: an Ace3 to a Straight: 567
(more)2♣ 5♣ 6♦ 7♦ A♥
Single Card: a King3 to a Straight: 678
(more)2♣ 6♣ 7♦ 8♦ K♥
Single Card: an Ace3 to a Straight: 678
(more)2♣ 6♣ 7♦ 8♦ A♥
3 to a Straight: 789Single Card: a Queen
(more)7♣ 8♦ 9♣ Q♦ K♥
2 to a Straight Flush: 9TSingle Card: a King
(more)2♣ 3♦ 9♥ 10♥ K♣
2 to a Straight Flush: 69Single Card: a Ten
(more)2♣ 3♣ 6♦ 9♦ 10♥
2 to a Straight Flush: 47Single Card: a Ten
(more)2♣ 3♦ 4♥ 7♥ 10♣
2 to a Straight Flush: 58Single Card: a Ten
(more)2♣ 3♣ 5♦ 8♦ 10♥
3 to a Straight: 345Single Card: a Queen
(more)3♣ 4♣ 5♦ Q♦ K♥
3 to a Straight: 456Single Card: a Queen
(more)4♣ 5♣ 6♦ Q♦ K♥
3 to a Straight: 567Single Card: a Queen
(more)5♣ 6♣ 7♦ Q♦ K♥
4 to a Straight: 34673 to a Straight Flush: 367
(more)2♣ 3♦ 4♣ 6♦ 7♦
Single Card: an Ace3 to a Straight: 456
(more)4♣ 5♣ 6♦ 9♦ A♥
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: 35673 to a Straight Flush: 367
(more)2♣ 3♦ 5♣ 6♦ 7♦
4 to a Straight: A2454 to a Straight: 2456
(more)2♣ 4♣ 5♦ 6♥ A♦
Single Card: an EightGarbage: Discard everything
(more)2♣ 3♦ 4♥ 7♣ 8♠
2 to a Straight Flush: 23Single Card: a Ten
(more)2♣ 3♣ 6♦ 7♥ 10♦
2 to a Straight Flush: 24Single Card: a Ten
(more)2♣ 4♣ 6♦ 7♥ 10♦
2 to a Straight Flush: 25Single Card: a Ten
(more)2♣ 5♣ 6♦ 8♥ 10♦
2 to a Straight Flush: 36Single Card: a Ten
(more)2♣ 3♦ 6♦ 8♥ 10♣
2 to a Straight Flush: 78Single Card: a King
(more)2♣ 3♦ 7♥ 8♥ K♣
2 to a Straight Flush: 78Single Card: an Ace
(more)2♣ 3♣ 7♦ 8♦ A♥
2 to a Straight Flush: 45Single Card: a King
(more)4♣ 5♣ 8♦ 9♥ K♦
2 to a Straight Flush: 78Single Card: a Queen
(more)2♣ 7♦ 8♦ Q♣ K♥
Single Card: a SevenSingle Card: a Ten
(more)2♣ 3♦ 7♥ 9♣ 10♦
2 to a Straight Flush: 67Single Card: a King
(more)2♣ 6♦ 7♦ 10♥ K♣
Single Card: a NineSingle Card: a Ten
(more)2♣ 3♦ 4♥ 9♠ 10♣
2 to a Straight Flush: 56Single Card: a King
(more)2♣ 5♦ 6♦ 10♥ K♣
2 to a Straight Flush: 67Single Card: an Ace
(more)2♣ 3♦ 6♥ 7♥ A♣
Single Card: a Nine2 to a Straight Flush: 24
(more)2♣ 3♦ 4♣ 7♦ 9♥
Single Card: a Nine2 to a Straight Flush: 25
(more)2♣ 3♦ 5♣ 7♦ 9♥
2 to a Straight Flush: 342 to a Straight Flush: 7T
(more)2♣ 3♦ 4♦ 7♥ 10♥
2 to a Straight Flush: 352 to a Straight Flush: 7T
(more)2♣ 3♦ 5♦ 7♥ 10♥
3 to a Flush: 2TJ2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ K♦
3 to a Flush: 3TJ2 to a Royal Flush: TJ
(more)3♣ 8♦ 10♣ J♣ K♦
3 to a Flush: 4TJ2 to a Royal Flush: TJ
(more)4♣ 8♦ 10♣ J♣ K♦
3 to a Flush: 5TJ2 to a Royal Flush: TJ
(more)5♣ 8♦ 10♣ J♣ K♦
3 to a Flush: 6TJ2 to a Royal Flush: TJ
(more)6♣ 8♦ 10♣ J♣ K♦
2 to a Straight Flush: 56Single Card: an Ace
(more)2♣ 5♦ 6♦ 10♥ A♣
Single Card: a Nine2 to a Straight Flush: 23
(more)2♣ 3♣ 4♦ 7♥ 9♠
Single Card: a Nine2 to a Straight Flush: 47
(more)2♣ 4♦ 5♣ 7♦ 9♥
2 to a Straight Flush: 232 to a Straight Flush: 7T
(more)2♣ 3♣ 7♦ 8♥ 10♦
2 to a Straight Flush: 242 to a Straight Flush: 7T
(more)2♣ 4♣ 7♦ 8♥ 10♦
2 to a Straight Flush: 252 to a Straight Flush: 7T
(more)2♣ 5♣ 7♦ 8♥ 10♦
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: 34673 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ 7♦
3 to a Straight Flush: 5694 to a Straight: 2456
(more)2♣ 4♣ 5♦ 6♦ 9♦
3 to a Straight Flush: 2564 to a Straight: 5679
(more)2♣ 5♣ 6♣ 7♦ 9♦
3 to a Straight Flush: 2564 to a Straight: 5689
(more)2♣ 5♣ 6♣ 8♦ 9♦
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♦
Single Card: a FiveSingle Card: a Ten2♣ 5♦ 7♥ 9♠ 10♣
2 to a Straight Flush: 67Single Card: a Queen2♣ 6♦ 7♦ Q♣ K♥
2 to a Straight Flush: 45Single Card: an Ace4♣ 5♣ 9♦ 10♥ A♦
2 to a Straight Flush: 342 to a Straight Flush: 683♣ 4♣ 6♦ 8♦ 9♥
2 to a Straight Flush: 352 to a Straight Flush: 683♣ 5♣ 6♦ 8♦ 10♥
2 to a Straight Flush: 342 to a Straight Flush: 793♣ 4♣ 7♦ 9♦ 10♥
2 to a Straight Flush: 352 to a Straight Flush: 793♣ 5♣ 7♦ 9♦ 10♥
2 to a Straight Flush: 462 to a Straight Flush: 7T2♣ 4♦ 6♦ 7♥ 10♥
2 to a Straight Flush: 342 to a Straight Flush: 8T3♣ 4♣ 7♦ 8♥ 10♥
2 to a Straight Flush: 352 to a Straight Flush: 8T3♣ 5♣ 7♦ 8♥ 10♥