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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 Flush800506,038,9560.00002539,390.7016.200.020309
Straight Flush1402,504,102,8440.0001267,960.232.420.017587
Four Aces with any 2,3,48001,233,375,2760.00006216,161.5339.490.049500
Four 2's, 3's, 4's with any A,2,3,43202,965,587,2760.0001496,721.5115.120.047608
Four Aces3203,476,405,9520.0001745,733.8617.730.055809
Four 2's, 3's, 4's1607,992,540,1200.0004012,493.9810.120.064154
Four 5's through K's10034,393,742,6400.001725579.5616.860.172545
Full House7165,243,822,0480.008290120.630.280.058029
Flush5213,274,789,7400.01069993.460.160.053497
Straight4238,240,095,2400.01195283.670.100.047808
Three of a Kind31,576,237,648,3920.07907612.650.270.237228
Two Pair12,195,764,570,2960.1101569.080.000.110156
Jacks or Better14,471,500,014,7840.2243244.460.010.224324
Nothing011,019,897,783,6360.5528411.810.740.000000
Totals19,933,230,517,2001.0000002.24119.491.158555

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800505,783,2240.00002539,410.6216.190.020299
Straight Flush1402,510,334,9240.0001267,940.472.430.017631
Four Aces with any 2,3,48001,233,467,7360.00006216,160.3239.490.049504
Four 2's, 3's, 4's with any A,2,3,43202,965,792,5960.0001496,721.0515.130.047612
Four Aces3203,477,655,6080.0001745,731.8017.740.055829
Four 2's, 3's, 4's1607,993,463,2920.0004012,493.6910.120.064162
Four 5's through K's10034,394,170,4040.001725579.5516.860.172547
Full House7165,261,663,6840.008291120.620.280.058035
Flush5213,258,146,0520.01069993.470.160.053493
Straight4235,965,898,8120.01183884.480.100.047351
Three of a Kind31,576,602,587,4240.07909412.640.270.237283
Two Pair12,196,667,618,0560.1102019.070.000.110201
Jacks or Better14,476,760,664,5080.2245884.450.010.224588
Nothing011,015,633,270,8800.5526271.810.740.000000
Totals19,933,230,517,2001.0000002.24119.501.158535

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four 2's, 3's, 4's with any A,2,3,4; Four Aces with any 2,3,4; Straigh...
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
4 to a Straight Flush2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
Pat HandFlush
4 to a Straight Flush
(more)A234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ; 89JQ; 8TJQ; 9TJK; 9TQK...
Pat HandStraight
4 to a Straight Flush
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
1 PairAA
3 to a Royal FlushTJQ
1 PairJJ; QQ; KK
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 3344; 3355; 3366; 3377...
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
1 Pair22; 33; 44
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Straight Flush9TJ
4 to a StraightTJQK
1 Pair55; 66; 77; 88; 99; TT
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 8JQ; 9JQ; 9QK
4 to a Straight2345; 3456; 4567; 5678; 89TJ; 9TJQ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 568; 7TJ; 89J; 8TJ; 9TQ; 9JK
4 to a Straight6789; 789T; JQKA
3 to a Straight Flush467; 578; 679; 689; 78T; 78J; 79T; 79J
2 to a Royal FlushJA; JQ; QA
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 8TQ; 9TK
2 to a Royal FlushJK; QK
3 to a Straight Flush89Q
2 to a Royal FlushKA
4 to a StraightTJKA; TQKA
4 to a Straight8TJQ; 9TJK; 9TQK; 9JQK; TJQA
Single Cardan Ace
3 to a StraightJQK
4 to a Straight89JQ
2 to a StraightJQ
2 to a Royal FlushTJ
3 to a Straight Flush569; 579; 589; 67T; 68T; 69T
2 to a StraightJK; QK
2 to a Royal FlushTQ
Single Carda Jack
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478
Single Carda Queen; a King
4 to a Straight2346; 2356; 2456; 3457; 3467; 4568; 4578; 4678
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: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
2 to a Royal Flush: TJ2 to a Straight: JQ
(more)2♣ 3♣ 10♦ J♦ Q♣
4 to a Straight: 679TGarbage: Discard everything
(more)2♣ 6♣ 7♦ 9♥ 10♠
4 to a Straight: 689TGarbage: Discard everything
(more)2♣ 6♣ 8♦ 9♥ 10♠
Garbage: Discard everything4 to a Straight: 4568
(more)2♣ 4♣ 5♦ 6♦ 8♣
Garbage: Discard everything4 to a Straight: 4578
(more)2♣ 4♦ 5♦ 7♣ 8♣
4 to a Straight: 678TGarbage: Discard everything
(more)2♣ 6♣ 7♦ 8♥ 10♠
4 to a Straight: TJKA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ K♦ A♣
4 to a Straight: TQKA2 to a Royal Flush: QA
(more)2♣ 10♦ Q♣ K♦ A♣
4 to a Straight: TJKA2 to a Royal Flush: KA
(more)2♣ 10♦ J♦ K♣ A♣
4 to a Straight: TQKA2 to a Royal Flush: KA
(more)2♣ 10♦ Q♦ K♣ A♣
4 to a Straight: 3567Garbage: Discard everything
(more)3♣ 5♣ 6♦ 7♥ 10♠
4 to a Straight: TJQA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ Q♦ A♣
4 to a Straight: TJQA2 to a Royal Flush: QA
(more)2♣ 10♦ J♦ Q♣ A♣
Garbage: Discard everything4 to a Straight: 2356
(more)2♣ 3♣ 5♦ 6♦ 7♣
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ K♦
1 Pair: QQ3 to a Royal Flush: TJQ
(more)J♣ J♦ Q♣ Q♦ 10♣
1 Pair: JJ3 to a Royal Flush: TJQ
(more)J♣ J♦ 2♣ 10♣ Q♣
3 to a Straight Flush: 236Single Card: a Jack
(more)2♣ 3♣ 6♣ 7♦ J♦
3 to a Straight Flush: 246Single Card: a Jack
(more)2♣ 4♣ 6♣ 7♦ J♦
3 to a Straight Flush: 347Single Card: a Jack
(more)2♣ 3♦ 4♦ 7♦ J♣
3 to a Straight Flush: 357Single Card: a Jack
(more)2♣ 3♦ 5♦ 7♦ J♣
3 to a Straight Flush: 367Single Card: a Jack
(more)2♣ 3♦ 6♦ 7♦ J♣
3 to a Straight Flush: 458Single Card: a Jack
(more)2♣ 4♦ 5♦ 8♦ J♣
3 to a Straight Flush: 468Single Card: a Jack
(more)2♣ 4♦ 6♦ 8♦ J♣
3 to a Straight Flush: 478Single Card: a Jack
(more)2♣ 4♦ 7♦ 8♦ J♣
3 to a Straight Flush: 256Single Card: a Jack
(more)2♣ 5♣ 6♣ 7♦ J♦
Garbage: Discard everything4 to a Straight: 4678
(more)4♣ 6♣ 7♦ 8♦ 10♣
4 to a Straight: 5789Garbage: Discard everything
(more)3♣ 5♦ 7♣ 8♥ 9♠
4 to a Straight: 5689Garbage: Discard everything
(more)3♣ 5♦ 6♥ 8♣ 9♠
Single Card: a Queen3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ Q♦
Single Card: a Queen3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ Q♦
Single Card: a Queen3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ Q♦
Single Card: a Jack3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ J♦
Single Card: a Queen3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ Q♦
Single Card: a Jack3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ J♦
Single Card: a Queen3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ Q♦
Single Card: a Jack3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ J♦
Single Card: a Queen3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ Q♦
Single Card: a Jack3 to a Straight Flush: 67T
(more)6♣ 7♣ 8♦ 10♣ J♦
Single Card: a Queen3 to a Straight Flush: 68T
(more)6♣ 7♦ 8♣ 10♣ Q♦
Single Card: a King3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ K♥
Single Card: a King3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ K♥
Single Card: a King3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ K♥
Single Card: a King3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ K♥
Single Card: a King3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ K♥
Single Card: a King3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ K♥
Single Card: a King3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ K♥
Single Card: a King3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ K♥
Single Card: a King3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ K♥
Single Card: a King3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ K♥
Single Card: a King3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ K♥
Single Card: a King3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ K♥
Single Card: a Queen3 to a Straight Flush: 67T
(more)6♣ 7♣ 8♦ 10♣ Q♥
Single Card: a Queen3 to a Straight Flush: 69T
(more)6♣ 7♦ 9♣ 10♣ Q♥
Single Card: a Jack3 to a Straight Flush: 68T
(more)6♣ 7♦ 8♣ 10♣ J♦
Single Card: a Jack3 to a Straight Flush: 69T
(more)6♣ 7♦ 9♣ 10♣ J♦
Single Card: a King3 to a Straight Flush: 67T6♣ 7♣ 8♦ 10♣ K♥
Single Card: a King3 to a Straight Flush: 68T6♣ 7♦ 8♣ 10♣ K♥
3 to a Straight Flush: 4582 to a Royal Flush: TQ4♣ 5♣ 8♣ 10♦ Q♦
3 to a Straight Flush: 4682 to a Royal Flush: TQ4♣ 6♣ 8♣ 10♦ Q♦
3 to a Straight Flush: 4782 to a Royal Flush: TQ4♣ 7♣ 8♣ 10♦ Q♦