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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 Flush800453,604,3320.00002343,944.0914.530.018205
Straight Flush802,479,588,4880.0001248,038.930.780.009952
Four of a Kind2545,839,465,2680.002300434.851.330.057491
Full House10223,189,350,3720.01119789.310.920.111968
Flush7314,596,102,5600.01578263.360.590.110477
Straight5301,898,691,3720.01514566.030.250.075727
Three of a Kind31,416,753,280,9320.07107514.070.310.213225
Two Pair12,457,941,160,7080.1233098.110.000.123309
Jacks or Better13,799,207,146,2040.1905975.250.000.190597
Nothing011,370,872,126,9640.5704481.750.470.000000
Totals19,933,230,517,2001.0000002.3319.190.910951

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800453,592,7760.00002343,945.2114.530.018204
Straight Flush802,475,953,2680.0001248,050.730.780.009937
Four of a Kind2545,836,905,9080.002300434.871.330.057488
Full House10223,166,532,1320.01119689.320.920.111957
Flush7315,620,568,0360.01583463.160.590.110837
Straight5301,335,187,4760.01511766.150.250.075586
Three of a Kind31,416,579,100,1760.07106614.070.310.213199
Two Pair12,457,587,536,2000.1232918.110.000.123291
Jacks or Better13,796,064,304,5160.1904395.250.000.190439
Nothing011,374,110,836,7120.5706111.750.470.000000
Totals19,933,230,517,2001.0000002.3319.190.910939

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
Pat HandFlush
4 to a Straight Flush89TJ; 9TJQ
Pat HandStraight
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
3 to a Royal FlushTJQ; JQK
4 to a Flush
(more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 2367; 2368; 2369; 236T...
3 to a Royal FlushTJK; TQK; JQA; JKA; QKA
1 PairJJ; QQ; KK; AA
3 to a Royal FlushTJA; TQA; TKA
4 to a Flush
(more)234J; 234Q; 234K; 235J; 235Q; 235K; 236A; 236J; 236Q; 236K; 237A; 237J...
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 9TJ; 9TQ; 9JQ
4 to a StraightJQKA
1 PairTT
3 to a Straight Flush9JK; 9QK
1 Pair99
3 to a Straight Flush8JQ
1 Pair22; 33; 44; 55; 66; 77; 88
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 78J; 79T
4 to a Straight9JQK; TJQA; TJKA; TQKA
2 to a Royal FlushJQ
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 79J; 7TJ; 89Q; 8TQ; 9TK
3 to a Flush
(more)2JA; 2JK; 2QA; 2QK; 2KA; 3JA; 3JK; 3QA; 3QK; 3KA; 4JA; 4JK; 4QA; 4QK...
4 to a Straight89JQ; 8TJQ
2 to a Royal FlushJA; JK; QA; QK; KA
3 to a StraightTJQ; JQK
4 to a Straight789J; 9TJK
4 to a StraightA234; A235; A245; A345; 78TJ; 79TJ; 9TQK
2 to a Royal FlushTJ
4 to a Straight89TQ
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
3 to a Flush
(more)28K; 29A; 29K; 2TA; 2TJ; 2TQ; 2TK; 38K; 39A; 39K; 3TA; 3TJ; 3TQ; 3TK...
2 to a StraightJQ
2 to a Royal FlushTQ
3 to a Flush
(more)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26A; 26J; 26Q; 26K; 27A...
2 to a StraightJK; QK
2 to a Royal FlushTK
2 to a StraightJA; QA; KA
2 to a Royal FlushTA
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...
2 to a Straight Flush9T
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
3 to a Straight: JKA2 to a Straight: JK
(more)2♣ 9♣ J♦ K♥ A♠
3 to a Straight: QKA2 to a Straight: QK
(more)2♣ 9♣ Q♦ K♥ A♠
2 to a Straight Flush: 89Garbage: Discard everything
(more)2♣ 3♣ 4♦ 8♥ 9♥
Garbage: Discard everything2 to a Straight Flush: 9T
(more)2♣ 3♣ 8♦ 9♥ 10♥
2 to a Royal Flush: JK3 to a Flush: 2JK
(more)2♣ 3♦ 4♦ J♣ K♣
2 to a Royal Flush: JK3 to a Flush: 3JK
(more)2♣ 3♦ 4♣ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 4JK
(more)2♣ 3♣ 4♦ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 5JK
(more)2♣ 3♣ 5♦ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 6JK
(more)2♣ 3♣ 6♦ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 7JK
(more)2♣ 3♣ 7♦ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 8JK
(more)2♣ 3♣ 8♦ J♦ K♦
2 to a Royal Flush: QK3 to a Flush: 2QK
(more)2♣ 3♦ 4♦ Q♣ K♣
2 to a Royal Flush: QK3 to a Flush: 3QK
(more)2♣ 3♦ 4♣ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 4QK
(more)2♣ 3♣ 4♦ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 5QK
(more)2♣ 3♣ 5♦ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 6QK
(more)2♣ 3♣ 6♦ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 7QK
(more)2♣ 3♣ 7♦ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 8QK
(more)2♣ 3♣ 8♦ Q♦ K♦
2 to a Royal Flush: TJ4 to a Straight: 78TJ
(more)2♣ 7♣ 8♣ 10♦ J♦
4 to a Straight: 679TSingle Card: a King
(more)6♣ 7♣ 9♦ 10♥ K♦
4 to a Straight: 689TSingle Card: a King
(more)6♣ 8♣ 9♦ 10♥ K♦
2 to a Straight Flush: 45Garbage: Discard everything
(more)2♣ 4♦ 5♦ 9♣ 10♥
2 to a Straight Flush: 78Garbage: Discard everything
(more)2♣ 3♣ 4♦ 7♥ 8♥
2 to a Straight Flush: 67Garbage: Discard everything
(more)2♣ 3♣ 6♦ 7♦ 10♥
2 to a Straight Flush: 56Garbage: Discard everything
(more)2♣ 5♦ 6♦ 9♣ 10♥
3 to a Flush: 2TJ2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ K♦
3 to a Flush: 3TJ2 to a Royal Flush: TJ
(more)3♣ 8♦ 10♣ J♣ K♦
3 to a Flush: 4TJ2 to a Royal Flush: TJ
(more)4♣ 8♦ 10♣ J♣ K♦
3 to a Flush: 5TJ2 to a Royal Flush: TJ
(more)5♣ 8♦ 10♣ J♣ K♦
3 to a Flush: 6TJ2 to a Royal Flush: TJ
(more)6♣ 8♦ 10♣ J♣ K♦
4 to a Flush: 2JQK3 to a Royal Flush: JQK
(more)J♣ J♦ 2♣ Q♣ K♣
4 to a Flush: 3JQK3 to a Royal Flush: JQK
(more)J♣ J♦ 3♣ Q♣ K♣
4 to a Flush: 4JQK3 to a Royal Flush: JQK
(more)J♣ J♦ 4♣ Q♣ K♣
4 to a Flush: 5JQK3 to a Royal Flush: JQK
(more)J♣ J♦ 5♣ Q♣ K♣
4 to a Flush: 6JQK3 to a Royal Flush: JQK
(more)J♣ J♦ 6♣ Q♣ K♣
4 to a Flush: 7JQK3 to a Royal Flush: JQK
(more)J♣ J♦ 7♣ Q♣ K♣
4 to a Flush: 8JQK3 to a Royal Flush: JQK
(more)J♣ J♦ 8♣ Q♣ K♣
1 Pair: 993 to a Straight Flush: 9JK
(more)9♣ 9♦ J♣ Q♦ K♣
1 Pair: 993 to a Straight Flush: 9QK
(more)9♣ 9♦ J♣ Q♦ K♦
3 to a Straight Flush: 3474 to a Straight: A234
(more)2♣ 3♦ 4♦ 7♦ A♣
3 to a Straight Flush: 3574 to a Straight: A235
(more)2♣ 3♦ 5♦ 7♦ A♣
3 to a Straight Flush: 4584 to a Straight: A245
(more)2♣ 4♦ 5♦ 8♦ A♣
3 to a Straight Flush: 4584 to a Straight: A345
(more)3♣ 4♦ 5♦ 8♦ A♣
3 to a Straight Flush: 4784 to a Straight: 789J
(more)4♣ 7♣ 8♣ 9♦ J♦
3 to a Straight Flush: 4784 to a Straight: 78TJ
(more)4♣ 7♣ 8♣ 10♦ J♦
3 to a Straight Flush: 5794 to a Straight: 79TJ
(more)5♣ 7♣ 9♣ 10♦ J♦
3 to a Straight Flush: 5894 to a Straight: 89TQ
(more)5♣ 8♣ 9♣ 10♦ Q♦
3 to a Straight Flush: 8JQ4 to a Straight: JQKA
(more)8♣ J♣ Q♣ K♦ A♦
3 to a Flush: 29J2 to a Straight: JQ2♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 39J2 to a Straight: JQ3♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 49J2 to a Straight: JQ4♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 59J2 to a Straight: JQ5♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 69J2 to a Straight: JQ6♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 29Q2 to a Straight: JQ2♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 39Q2 to a Straight: JQ3♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 49Q2 to a Straight: JQ4♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 59Q2 to a Straight: JQ5♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 69Q2 to a Straight: JQ6♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 79Q2 to a Straight: JQ7♣ 9♣ J♦ Q♣ A♥
2 to a Straight Flush: 452 to a Straight Flush: 9T4♣ 5♣ 8♦ 9♥ 10♥
3 to a Straight Flush: 67T3 to a Straight: TJQ6♣ 7♣ 10♣ J♦ Q♥
3 to a Straight Flush: 4582 to a Royal Flush: TJ4♣ 5♣ 8♣ 10♦ J♦
3 to a Straight Flush: 4682 to a Royal Flush: TJ4♣ 6♣ 8♣ 10♦ J♦
3 to a Straight Flush: 5692 to a Royal Flush: TJ5♣ 6♣ 9♣ 10♦ J♦