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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 Flush4,679.4268496,305,8880.00002540,163.20543.820.116510
Straight Flush304.42682,143,572,3840.0001089,299.079.580.032737
Four of a Kind158.593447,100,526,9560.002363423.2155.080.374743
Full House65.2601229,508,185,6440.01151486.8540.540.751395
Flush29.1667217,212,826,2480.01089791.775.890.317830
Straight23.3333223,941,963,9360.01123589.013.410.262140
Three of a Kind17.51,484,312,753,9160.07446413.439.981.303124
Two Pair11.66672,577,389,508,2520.1293017.734.271.508518
Jacks or Better5.83334,287,366,472,4640.2150864.650.001.254663
Nothing010,863,758,401,5120.5450071.8319.110.000000
Totals19,933,230,517,2001.0000002.20691.685.921661

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush4,679.4268492,132,9960.00002540,503.75539.250.115531
Straight Flush304.42682,143,226,6640.0001089,300.579.580.032732
Four of a Kind158.593447,106,791,1960.002363423.1555.080.374793
Full House65.2601229,524,253,8840.01151586.8540.540.751447
Flush29.1667216,753,757,5600.01087491.965.880.317158
Straight23.3333223,590,983,3160.01121789.153.400.261730
Three of a Kind17.51,484,506,013,4600.07447413.439.981.303294
Two Pair11.66672,577,555,847,0440.1293097.734.271.508615
Jacks or Better5.83334,292,900,747,3880.2153644.640.001.256283
Nothing010,858,656,763,6920.5447511.8419.100.000000
Totals19,933,230,517,2001.0000002.20687.095.921583

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
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...
1 PairJJ; QQ; KK; AA
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a StraightTJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 to a Straight Flush89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ
4 to a StraightJQKA
3 to a Straight Flush9JK; 9QK
2 to a Royal FlushJQ; JK; QK
3 to a Straight Flush345; 456; 567; 678; 789; 89T
2 to a Royal FlushJA; QA; KA
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a StraightJQK
2 to a StraightJQ
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 568; 578; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a StraightJK
2 to a Royal FlushTJ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 679; 78T; 79T
2 to a StraightJA; QK
2 to a StraightQA; KA
2 to a Royal FlushTQ
Single Carda Jack; a Queen; a King; an Ace
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 Royal Flush: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
2 to a Royal Flush: TQ2 to a Straight: QA
(more)2♣ 3♣ 10♦ Q♦ A♥
2 to a Straight: JA2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ A♦
2 to a Royal Flush: JQ3 to a Straight Flush: 8JQ
(more)2♣ 8♦ 9♣ J♦ Q♦
3 to a Straight Flush: 7TJ2 to a Straight: JQ
(more)2♣ 7♦ 10♦ J♦ Q♣
2 to a Straight: JK3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
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: 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: 234
(more)2♣ 3♣ 4♣ 6♦ J♦
Single Card: an Ace3 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ A♦
Single Card: a Jack3 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ J♦
Single Card: an Ace3 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ A♦
Single Card: a Jack3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ J♦
Single Card: an Ace3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ A♦
Single Card: a Jack3 to a Straight Flush: 78T
(more)6♣ 7♦ 8♦ 10♦ J♣
Single Card: a Jack3 to a Straight Flush: 79T
(more)6♣ 7♦ 9♦ 10♦ 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: 2342 to a Straight: JK2♣ 3♣ 4♣ J♦ K♥
3 to a Straight Flush: 2352 to a Straight: JK2♣ 3♣ 5♣ J♦ K♥
3 to a Straight Flush: 2452 to a Straight: JK2♣ 4♣ 5♣ J♦ K♥
3 to a Straight Flush: 3462 to a Straight: JK3♣ 4♣ 6♣ J♦ K♥
3 to a Straight Flush: 3562 to a Straight: JK3♣ 5♣ 6♣ J♦ K♥
3 to a Straight Flush: 4572 to a Straight: JK4♣ 5♣ 7♣ J♦ K♥
3 to a Straight Flush: 4672 to a Straight: JK4♣ 6♣ 7♣ J♦ K♥
3 to a Straight Flush: 6792 to a Straight: JK6♣ 7♣ 9♣ J♦ K♥
Single Card: a Jack3 to a Straight Flush: 5684♣ 5♦ 6♦ 8♦ J♥
Single Card: a Jack3 to a Straight Flush: 5784♣ 5♦ 7♦ 8♦ J♥
3 to a Straight Flush: 7892 to a Royal Flush: QK7♣ 8♣ 9♣ Q♦ K♦