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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 Flush3,040632,616,5760.00003231,509.18293.100.096480
Straight Flush501,937,202,8280.00009710,289.700.230.004859
Four Aces803,940,077,9600.0001985,059.101.230.015813
Four 2's, 3's, 4's4010,516,702,2960.0005281,895.390.800.021104
Four 5's through K's2532,521,461,4080.001632612.930.940.040788
Full House7228,428,980,4160.01146087.260.410.080218
Flush5222,931,080,4560.01118489.410.170.055919
Straight4217,711,782,5160.01092291.560.100.043688
Three of a Kind31,480,765,366,9200.07428613.460.280.222859
Two Pair22,567,247,527,7360.1287927.760.120.257585
Jacks or Better14,160,728,747,2960.2087334.790.000.208733
Nothing011,005,868,970,7920.5521371.810.610.000000
Totals19,933,230,517,2001.0000002.23297.981.048046

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush3,040635,781,2040.00003231,352.34294.560.096962
Straight Flush501,966,862,5080.00009910,134.530.240.004934
Four Aces804,080,090,9480.0002054,885.491.280.016375
Four 2's, 3's, 4's4010,523,347,8600.0005281,894.190.800.021117
Four 5's through K's2532,473,737,6000.001629613.830.930.040728
Full House7228,714,001,2720.01147487.150.410.080318
Flush5224,581,706,1480.01126788.760.180.056333
Straight4216,162,207,1680.01084492.210.090.043377
Three of a Kind31,484,022,286,6800.07445013.430.280.223349
Two Pair22,570,488,593,9120.1289557.750.120.257910
Jacks or Better14,115,919,150,4320.2064854.840.000.206485
Nothing011,043,662,751,4680.5540331.800.610.000000
Totals19,933,230,517,2001.0000002.24299.501.047889

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Royal Flush
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush; Straight 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...
1 PairJJ; QQ; KK; AA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a Straight9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
2 to a Royal FlushJQ; QK
2 to a Royal FlushKA
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ
3 to a Straight Flush9TJ; 9TQ
2 to a Royal FlushJA; JK
2 to a Royal FlushTA; TJ; TQ; TK; QA
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ
4 to a Straight9JQK; TJQA; TJKA; TQKA; JQKA
3 to a StraightJQK
2 to a StraightJQ
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 346; 356; 457; 467; 568; 578; 78J; 79J; 89Q
Single Cardan Ace
3 to a Straight Flush234; 235; 245; 679; 689
2 to a StraightJK; QK
Single Carda Jack
3 to a Straight Flush78T; 79T
Single Carda Queen; a King
3 to a Straight Flush236; 246; 256; 347; 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 Straight: KASingle Card: an Ace
(more)2♣ 3♣ 4♦ K♣ A♦
2 to a Straight: QASingle Card: an Ace
(more)2♣ 3♣ 4♦ Q♣ A♦
2 to a Straight: JASingle Card: an Ace
(more)2♣ 3♣ 4♦ J♣ A♦
2 to a Straight: QKSingle Card: an Ace
(more)2♣ 3♣ Q♣ K♦ A♥
2 to a Straight: JKSingle Card: an Ace
(more)2♣ 3♣ J♣ K♦ A♥
Single Card: a JackSingle Card: an Ace
(more)2♣ 3♣ 4♣ J♦ A♥
2 to a Royal Flush: TQ3 to a Straight Flush: 9TQ
(more)2♣ 8♣ 9♦ 10♦ Q♦
3 to a Straight Flush: 78TSingle Card: an Ace
(more)2♣ 7♦ 8♦ 10♦ A♣
3 to a Straight Flush: 79TSingle Card: an Ace
(more)2♣ 7♦ 9♦ 10♦ A♣
3 to a Straight Flush: 679Single Card: an Ace
(more)2♣ 6♦ 7♦ 9♦ A♣
3 to a Straight Flush: 689Single Card: an Ace
(more)2♣ 6♦ 8♦ 9♦ A♣
2 to a Royal Flush: QA2 to a Royal Flush: TK
(more)2♣ 10♦ Q♣ K♦ A♣
2 to a Royal Flush: QA2 to a Royal Flush: JK
(more)2♣ J♣ Q♦ K♣ A♦
2 to a Royal Flush: JA2 to a Royal Flush: QK
(more)2♣ J♦ Q♣ K♣ A♦
Single Card: an Ace3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ A♣
2 to a Royal Flush: QA2 to a Royal Flush: TJ
(more)2♣ 10♦ J♦ Q♣ A♣
Single Card: a Jack3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ J♣
Single Card: a Queen3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ Q♣
Single Card: an Ace3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ A♣
Single Card: a Jack3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ J♣
Single Card: a Queen3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ Q♣
Single Card: an Ace3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ A♣
Single Card: a Jack3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ J♣
Single Card: a Queen3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ Q♣
Single Card: an Ace3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ A♣
Single Card: a Jack3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ J♣
Single Card: a Queen3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ Q♣
Single Card: a Jack3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ J♣
Single Card: a Queen3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ Q♣
Single Card: an Ace3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ A♣
Single Card: a Jack3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ J♣
Single Card: a Queen3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ Q♣
Single Card: an Ace3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ A♣
Single Card: a Jack3 to a Straight Flush: 679
(more)5♣ 6♦ 7♦ 9♦ J♣
Single Card: a Queen3 to a Straight Flush: 679
(more)5♣ 6♦ 7♦ 9♦ Q♣
Single Card: a Queen3 to a Straight Flush: 689
(more)5♣ 6♦ 8♦ 9♦ Q♣
Single Card: a King3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ K♥
Single Card: a King3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ K♥
Single Card: a King3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ K♥
Single Card: a King3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ K♥
Single Card: a King3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ K♥
Single Card: a King3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ K♥
Single Card: a Jack3 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ J♦
Single Card: a Queen3 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ Q♦
Single Card: a Jack3 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ J♦
Single Card: a Queen3 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ Q♦
Single Card: a Jack3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ J♦
Single Card: a Queen3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ Q♦
Single Card: a Jack3 to a Straight Flush: 689
(more)5♣ 6♦ 8♦ 9♦ J♣
2 to a Straight: JK3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
2 to a Straight: JK3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ 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: 78T2 to a Straight: QK7♣ 8♣ 10♣ Q♦ K♥
3 to a Straight Flush: 79T2 to a Straight: QK7♣ 9♣ 10♣ Q♦ K♥
3 to a Straight Flush: 8TJ2 to a Royal Flush: TJ8♣ 10♣ J♣ K♦ A♥
Single Card: a King3 to a Straight Flush: 2342♣ 3♣ 4♣ 6♦ K♥
Single Card: a King3 to a Straight Flush: 2352♣ 3♣ 5♣ 6♦ K♥
Single Card: a King3 to a Straight Flush: 2452♣ 4♣ 5♣ 6♦ K♥
Single Card: a King3 to a Straight Flush: 6795♣ 6♦ 7♦ 9♦ K♥
Single Card: a King3 to a Straight Flush: 6895♣ 6♦ 8♦ 9♦ K♥
Single Card: a Queen3 to a Straight Flush: 78T6♣ 7♦ 8♦ 10♦ Q♥
Single Card: a King3 to a Straight Flush: 78T6♣ 7♦ 8♦ 10♦ K♥
Single Card: a Queen3 to a Straight Flush: 79T6♣ 7♦ 9♦ 10♦ Q♥
Single Card: an Ace3 to a Straight Flush: 78J7♣ 8♣ 9♦ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 79J7♣ 8♦ 9♣ J♣ A♥
3 to a Straight Flush: 4562 to a Royal Flush: TA4♣ 5♣ 6♣ 10♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: TA5♣ 6♣ 7♣ 10♦ A♦