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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 Flush800499,548,7200.00002539,902.4816.000.016707
Straight Flush502,062,450,5000.0001039,664.830.250.004311
Four Aces1004,290,604,5000.0002154,645.792.110.017937
Four 2's, 3's, 4's6024,239,443,7160.001216822.354.230.060802
Four 5's through K's4696,040,657,2720.004818207.559.760.184695
Full House7204,706,072,2480.01027097.370.370.059906
Flush5199,055,433,9600.009986100.140.160.041609
Straight4218,940,370,1400.01098491.040.100.036612
Three of a Kind31,378,418,893,5240.06915214.460.280.172880
Two Pair22,591,140,723,3800.1299917.690.130.216652
Jacks or Better14,178,148,784,8480.2096074.770.000.174673
Nothing011,035,687,534,3920.5536331.810.540.000000
Totals19,933,230,517,2001.0000002.2433.940.986783

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800497,087,4000.00002540,100.0515.920.016625
Straight Flush502,043,296,0640.0001039,755.430.250.004271
Four Aces1004,292,790,7920.0002154,643.422.110.017947
Four 2's, 3's, 4's6024,229,548,3840.001216822.684.230.060777
Four 5's through K's4696,023,486,8560.004817207.599.760.184662
Full House7204,739,354,2480.01027197.360.370.059916
Flush5198,160,927,8360.009941100.590.160.041422
Straight4218,556,515,1600.01096491.200.100.036548
Three of a Kind31,379,115,702,5040.06918714.450.280.172967
Two Pair22,591,342,194,0320.1300017.690.130.216669
Jacks or Better14,184,871,423,7680.2099444.760.000.174954
Nothing011,029,358,190,1560.5533151.810.540.000000
Totals19,933,230,517,2001.0000002.2433.860.986756

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
4 of a KindAAAA
Pat HandFour 5's through K's; Four 2's, 3's, 4's; Straight Flush; Royal Flush
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind + 1 Kicker
(more)222A; 3332; 333A; 4442; 4443; 444A; 5552; 5553; 5554; 555A; 6662; 6664...
3 of a Kind + 1 Kicker6663; 7772; 7776; 777A; 8882; TTT7
3 of a Kind888; 999; TTT; AAA
Pat HandStraight; Flush; Full House
3 of a Kind222; 333; 444; 555; 666; 777; JJJ; QQQ; KKK
1 Pair + 2 Kickers332A; 443A
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; 3456; 3567; 4567; 4568; 4578; 4678; 5678...
1 Pair + 2 Kickers
(more)5523; 554A; 6624; 665A; 7725; 7734; 776A; 8826; 8835; 887A; 9927; 9936...
4 to a Straight Flush2346; 2356; 2456; 3457; 3467
1 PairJJ; QQ; KK; AA
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
1 Pair + 1 Kicker332; 33A; 443; 44A
4 to a Flush
(more)2347; 234J; 234Q; 234K; 2357; 2358; 235J; 235Q; 235K; 236A; 23JA; 23JQ...
1 Pair77; 88; 99; TT
4 to a Flush
(more)2348; 2349; 234T; 2359; 235T; 237A; 2378; 2379; 237T; 237J; 237Q; 237K...
1 Pair44; 66
4 to a Flush
(more)2367; 2368; 2369; 236T; 236J; 236Q; 236K; 245J; 245Q; 245K; 2467; 2468...
1 Pair33; 55
1 Pair + 1 Kicker22A; 552; 553; 554; 55A
4 to a Flush
(more)2457; 2458; 2459; 245T; 2567; 2568; 2569; 256T; 2578; 2579; 257T; 2589...
1 Pair22
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight FlushA23; A34; A45; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ
4 to a StraightJQKA
2 to a Royal FlushJQ
3 to a Straight Flush235; 9JK; 9QK
2 to a Royal FlushJA; JK; QA; QK
3 to a Straight Flush456; 567; 678; 789; 89T
2 to a Royal FlushKA
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Flush56A; 67A; 78A; 89A; 9TA
3 to a StraightJQK
3 to a Straight Flush246; 345; 347
2 to a StraightJQ
Single Cardan Ace
3 to a Straight FlushA24; A25; A35; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a StraightJK; QK
2 to a Royal FlushTJ
3 to a Straight Flush234; 245; 346; 356; 457; 467; 568; 578; 679
Single Carda Jack
3 to a Straight Flush78T; 79T
2 to a Royal FlushTQ
Single Carda Queen; a King
3 to a Flush257; 268; 279; 28T; 358; 369; 37T; 459; 46T
3 to a Straight Flush236; 256; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
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♥
Single Card: an Ace2 to a Straight: JQ
(more)7♣ 8♣ J♦ Q♣ A♥
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
3 to a Straight Flush: A24Single Card: an Ace
(more)2♣ 4♣ 6♦ 7♦ A♣
3 to a Straight Flush: A35Single Card: an Ace
(more)3♣ 5♣ 6♦ 8♦ A♣
3 to a Straight Flush: A25Single Card: an Ace
(more)2♣ 5♣ 7♦ 9♦ A♣
1 Pair + 1 Kicker: 5541 Pair: 55
(more)5♣ 5♦ 2♣ 4♣ 10♣
1 Pair + 1 Kicker: 55A1 Pair: 55
(more)5♣ 5♦ 2♣ 10♣ A♦
2 to a Royal Flush: JQ3 to a Straight Flush: 8JQ
(more)2♣ 8♦ 9♣ J♦ Q♦
1 Pair + 1 Kicker: 5521 Pair: 55
(more)5♦ 5♣ 2♥ 4♣ 10♣
1 Pair + 1 Kicker: 5531 Pair: 55
(more)5♦ 5♣ 3♥ 4♣ 10♣
3 to a Straight Flush: 7TJ2 to a Straight: JQ
(more)2♣ 7♦ 10♦ J♦ Q♣
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 8♦ 9♦ 10♣ Q♣
3 to a Straight Flush: 78TSingle Card: a Jack
(more)2♣ 7♦ 8♦ 10♦ J♣
3 to a Straight Flush: 79TSingle Card: a Jack
(more)2♣ 7♦ 9♦ 10♦ J♣
3 to a Straight Flush: 78JSingle Card: an Ace
(more)2♣ 7♦ 8♦ J♦ A♣
3 to a Straight Flush: 79JSingle Card: an Ace
(more)2♣ 7♦ 9♦ J♦ A♣
3 to a Straight Flush: 89QSingle Card: an Ace
(more)2♣ 8♦ 9♦ Q♦ A♣
Single Card: an Ace3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ A♦
Single Card: a Jack3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ J♣
Single Card: a Jack3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ J♣
Single Card: an Ace3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ A♦
2 to a Straight: JK3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
3 to a Straight Flush: 8TQSingle Card: an Ace
(more)2♣ 8♦ 10♦ Q♦ A♣
Single Card: a Jack3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ J♣
Single Card: a Jack3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ J♣
Single Card: a Jack3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ J♣
3 to a Straight Flush: 7TJSingle Card: an Ace
(more)2♣ 7♦ 10♦ J♦ A♣
3 to a Straight Flush: 9TKSingle Card: an Ace
(more)2♣ 9♦ 10♦ K♦ A♣
Single Card: a Queen3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ Q♥
Single Card: a Queen3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ Q♥
Single Card: a Jack3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ J♥
2 to a Royal Flush: TJSingle Card: an Ace
(more)2♣ 6♣ 10♦ J♦ A♣
Single Card: a Jack3 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ J♦
Single Card: a Jack3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ J♦
2 to a Straight: JK3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ K♦
2 to a Straight: JK3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ K♦
3 to a Straight Flush: 78J2 to a Straight: JQ7♣ 8♣ J♣ Q♦ A♥
3 to a Straight Flush: 79J2 to a Straight: JQ7♣ 9♣ J♣ Q♦ A♥
3 to a Straight Flush: 6792 to a Straight: JK6♣ 7♣ 9♣ J♦ K♥
3 to a Straight Flush: 6792 to a Straight: QK6♣ 7♣ 9♣ Q♦ K♥
3 to a Straight Flush: 78T2 to a Straight: QK7♣ 8♣ 10♣ Q♦ K♥
3 to a Straight Flush: 79T2 to a Straight: QK7♣ 9♣ 10♣ Q♦ K♥
Single Card: a Queen3 to a Straight Flush: 2342♣ 3♣ 4♣ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 2452♣ 4♣ 5♣ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 5684♣ 5♦ 6♦ 8♦ Q♥
Single Card: a Queen3 to a Straight Flush: 5784♣ 5♦ 7♦ 8♦ Q♥
Single Card: a Jack3 to a Straight Flush: 6795♣ 6♦ 7♦ 9♦ J♥
Single Card: a Jack3 to a Straight Flush: 6895♣ 6♦ 8♦ 9♦ J♥
3 to a Straight Flush: 5782 to a Royal Flush: TJ5♣ 7♣ 8♣ 10♦ J♦
3 to a Straight Flush: 4562 to a Royal Flush: JA4♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: JA5♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: JA6♣ 7♣ 8♣ J♦ A♦
3 to a Straight Flush: 4562 to a Royal Flush: QA4♣ 5♣ 6♣ Q♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: QA5♣ 6♣ 7♣ Q♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: QA6♣ 7♣ 8♣ Q♦ A♦
3 to a Straight Flush: 7892 to a Royal Flush: QA7♣ 8♣ 9♣ Q♦ A♦
4 to a Flush: 456J1 Pair: 666♣ 6♦ 4♣ 5♣ J♣
4 to a Flush: 456Q1 Pair: 666♣ 6♦ 4♣ 5♣ Q♣
4 to a Flush: 456K1 Pair: 666♣ 6♦ 4♣ 5♣ K♣
1 Pair: 334 to a Flush: 345J3♣ 3♦ 4♣ 5♣ J♣
1 Pair: 334 to a Flush: 357J3♣ 3♦ 5♣ 7♣ J♣
1 Pair: 334 to a Flush: 358J3♣ 3♦ 5♣ 8♣ J♣
1 Pair: 334 to a Flush: 359J3♣ 3♦ 5♣ 9♣ J♣
1 Pair: 334 to a Flush: 35TJ3♣ 3♦ 5♣ 10♣ J♣
1 Pair: 334 to a Flush: 345Q3♣ 3♦ 4♣ 5♣ Q♣
1 Pair: 334 to a Flush: 357Q3♣ 3♦ 5♣ 7♣ Q♣
1 Pair: 334 to a Flush: 358Q3♣ 3♦ 5♣ 8♣ Q♣
1 Pair: 334 to a Flush: 359Q3♣ 3♦ 5♣ 9♣ Q♣
1 Pair: 334 to a Flush: 35TQ3♣ 3♦ 5♣ 10♣ Q♣
1 Pair: 334 to a Flush: 345K3♣ 3♦ 4♣ 5♣ K♣
1 Pair: 334 to a Flush: 357K3♣ 3♦ 5♣ 7♣ K♣
1 Pair: 334 to a Flush: 358K3♣ 3♦ 5♣ 8♣ K♣
1 Pair: 334 to a Flush: 359K3♣ 3♦ 5♣ 9♣ K♣
1 Pair: 334 to a Flush: 35TK3♣ 3♦ 5♣ 10♣ K♣
3 of a Kind + 1 Kicker: 44433 of a Kind + 1 Kicker: 44424♦ 4♥ 4♣ 2♠ 3♣
3 of a Kind + 1 Kicker: 444A3 of a Kind + 1 Kicker: 44424♦ 4♥ 4♣ 2♠ A♣