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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 Flush800.9608375,587,8200.00001953,072.0912.030.015092
Straight Flush50.96082,163,349,1280.0001099,214.060.260.005531
Four Aces80.96083,763,935,1680.0001895,295.851.180.015288
Four 2's, 3's, 4's40.960810,439,782,6920.0005241,909.350.800.021453
Four 5's through K's25.960832,013,652,9080.001606622.650.930.041694
Full House16.5688224,495,380,5120.01126288.792.400.186604
Flush14.608312,196,614,0720.01566263.852.510.228792
Straight10.7256298,023,694,7160.01495166.881.150.160360
Three of a Kind5.88241,430,646,805,8240.07177213.931.100.422191
Two Pair3.92162,474,679,972,3840.1241488.050.480.486861
Jacks or Better1.96083,824,105,356,0800.1918465.210.000.376171
Nothing011,320,326,385,8960.5679121.762.180.000000
Totals19,933,230,517,2001.0000002.3125.011.960036

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800.9608375,806,4960.00001953,041.2112.040.015101
Straight Flush50.96082,180,042,8920.0001099,143.500.260.005573
Four Aces80.96083,762,588,4080.0001895,297.741.180.015282
Four 2's, 3's, 4's40.960810,439,829,1320.0005241,909.340.800.021453
Four 5's through K's25.960832,009,604,3720.001606622.730.930.041689
Full House16.5688224,463,440,8080.01126188.802.400.186577
Flush14.608312,965,694,3120.01570163.692.510.229356
Straight10.7256298,054,677,9240.01495366.881.150.160376
Three of a Kind5.88241,430,362,350,8400.07175813.941.100.422107
Two Pair3.92162,474,179,631,9280.1241238.060.480.486762
Jacks or Better1.96083,819,709,832,3280.1916255.220.000.375739
Nothing011,324,727,017,7600.5681331.762.180.000000
Totals19,933,230,517,2001.0000002.3225.031.960016

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Four 2's, 3's, 4's; Straight Flush; Royal Flush
4 of a Kind5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK; AAAA
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...
4 to a Flush
(more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 2367; 2368; 2369; 236T...
1 PairAA
4 to a Flush
(more)236A; 237A; 238A; 239A; 23TA; 23JA; 23QA; 23KA; 246A; 247A; 248A; 249A...
1 PairJJ; QQ; KK
4 to a Flush
(more)234J; 234Q; 234K; 235J; 235Q; 235K; 236J; 236Q; 236K; 237J; 237Q; 237K...
3 to a Royal FlushTJQ; TKA; JQA; JQK; JKA; QKA
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 9TJQ; TJQK
3 to a Royal FlushTJA; TJK; TQA; TQK
4 to a Straight89TJ
1 Pair22; 33; 44; 88; 99; TT
3 to a Straight Flush9JQ
1 Pair77
3 to a Straight Flush9TJ
1 Pair55; 66
4 to a StraightJQKA
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Flush
(more)2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA; 4JA; 4JQ...
2 to a Royal FlushJQ
3 to a Straight FlushA23; A24; A25; A34; A35; A45
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a Royal FlushJA; JK; QK
3 to a Straight Flush
(more)346; 356; 457; 467; 568; 578; 679; 689; 78T; 78J; 79T; 79J; 7TJ; 89Q...
2 to a Royal FlushQA; KA
3 to a Straight Flush234; 235; 245
3 to a StraightTJQ; JQK
4 to a StraightA234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ
2 to a StraightJQ
3 to a Flush
(more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26J; 26Q; 27J; 27Q; 27K; 28A; 28J; 28Q...
2 to a Royal FlushTJ
3 to a Flush
(more)23K; 24K; 25K; 26A; 26K; 27A; 34K; 35K; 36A; 36K; 37A; 45K; 46A; 46K...
2 to a StraightJK; QK
3 to a Straight Flush458; 468; 478; 569; 579; 589; 67T; 68T; 69T
2 to a Royal FlushTQ
3 to a Straight Flush236; 246; 256; 347; 357; 367
2 to a StraightJA; QA; KA
2 to a Royal FlushTK
Single Carda Jack; a Queen; a King; an Ace
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; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...
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 Flush: 9TGarbage: Discard everything
(more)2♣ 3♣ 4♦ 9♥ 10♥
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 9♣ 10♦ Q♦ A♥
2 to a Straight Flush: 89Garbage: Discard everything
(more)2♣ 3♣ 4♦ 8♥ 9♥
2 to a Straight Flush: 45Garbage: Discard everything
(more)4♣ 5♣ 8♦ 9♦ 10♥
Single Card: a Jack3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ J♦
Single Card: a Queen3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ Q♦
Single Card: a Jack3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ J♦
Single Card: a Queen3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ Q♦
Single Card: a Jack3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ J♦
Single Card: a Queen3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ Q♦
Single Card: a Jack3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ J♦
Single Card: a Queen3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ Q♦
Single Card: a Jack3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ J♦
Single Card: a Queen3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ Q♦
Single Card: a Jack3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ J♦
Single Card: a Queen3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ Q♦
Single Card: a Jack3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ J♦
Single Card: a Queen3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ Q♦
Single Card: a Jack3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ J♦
Single Card: a Queen3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ Q♦
Single Card: a Jack3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ J♦
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: an Ace3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ A♦
Single Card: an Ace3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ A♦
Single Card: an Ace3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ A♦
Single Card: an Ace3 to a Straight Flush: 67T
(more)6♣ 7♣ 8♦ 10♣ A♦
Single Card: an Ace3 to a Straight Flush: 68T
(more)6♣ 7♦ 8♣ 10♣ A♦
Single Card: an Ace3 to a Straight Flush: 69T
(more)6♣ 7♦ 9♣ 10♣ A♦
Single Card: an Ace3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ A♥
Single Card: an Ace3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ A♥
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: an Ace3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ A♥
Single Card: a King3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ K♥
Single Card: an Ace3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ A♥
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 Queen3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ Q♥
Single Card: a King3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ K♥
Single Card: a Queen3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ Q♥
Single Card: a King3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ K♥
Single Card: a Queen3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ Q♥
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 Jack3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ J♦
Single Card: a Jack3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ J♦
3 to a Straight Flush: 67T2 to a Straight: JK6♣ 7♣ 10♣ J♦ K♥
3 to a Straight Flush: 68T2 to a Straight: JK6♣ 8♣ 10♣ J♦ K♥
3 to a Straight Flush: 67T2 to a Straight: QK6♣ 7♣ 10♣ Q♦ K♥
3 to a Straight Flush: 68T2 to a Straight: QK6♣ 8♣ 10♣ Q♦ K♥
Single Card: an Ace3 to a Straight Flush: 3473♣ 4♣ 6♦ 7♣ A♥
Single Card: an Ace3 to a Straight Flush: 3573♣ 5♣ 6♦ 7♣ A♥
Single Card: a Queen3 to a Straight Flush: 68T6♣ 7♦ 8♣ 10♣ Q♥
Single Card: a Queen3 to a Straight Flush: 69T6♣ 7♦ 9♣ 10♣ Q♥
3 to a Straight Flush: 78J2 to a Royal Flush: QK7♣ 8♣ J♣ Q♦ K♦
3 to a Straight Flush: 3462 to a Royal Flush: JA3♣ 4♣ 6♣ J♦ A♦
3 to a Straight Flush: 3562 to a Royal Flush: JA3♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 4572 to a Royal Flush: JA4♣ 5♣ 7♣ J♦ A♦
3 to a Straight Flush: 4672 to a Royal Flush: JA4♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: JA5♣ 6♣ 8♣ J♦ A♦
3 to a Straight Flush: 5782 to a Royal Flush: JA5♣ 7♣ 8♣ J♦ A♦
3 to a Straight Flush: 6792 to a Royal Flush: JA6♣ 7♣ 9♣ J♦ A♦
3 to a Straight Flush: 6892 to a Royal Flush: JA6♣ 8♣ 9♣ J♦ A♦