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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 Flush800480,845,2800.00002441,454.5615.390.016082
Straight Flush502,143,167,1320.0001089,300.830.260.004480
Four of a Kind78.6923128,395,396,5720.006441155.2538.720.422399
Full House9200,310,806,7840.01004999.510.620.075368
Flush6204,757,822,1280.01027297.350.240.051361
Straight4219,922,945,5240.01103390.640.090.036777
Three of a Kind31,355,286,987,2640.06799114.710.230.169978
Two Pair22,567,106,788,2920.1287857.760.090.214642
Jacks or Better14,093,071,352,9200.2053394.870.010.171116
Nothing011,161,754,405,3040.5599571.790.760.000000
Totals19,933,230,517,2001.0000002.2756.401.162202

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800477,678,8160.00002441,729.3615.290.015976
Straight Flush502,147,020,5840.0001089,284.140.260.004488
Four of a Kind78.6923128,745,373,4640.006459154.8338.820.423550
Full House9200,037,005,4000.01003599.650.620.075265
Flush6203,124,377,6400.01019098.130.240.050951
Straight4219,842,000,8560.01102990.670.090.036763
Three of a Kind31,346,095,882,2840.06753014.810.230.168826
Two Pair22,570,889,896,5320.1289757.750.090.214958
Jacks or Better14,097,781,384,5160.2055754.860.010.171313
Nothing011,164,089,897,1080.5600741.790.760.000000
Totals19,933,230,517,2001.0000002.2756.401.162090

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFour of a Kind; 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; 6663...
3 of a Kind666; 777; 888; 999; TTT
Pat HandStraight; Flush; Full House
3 of a Kind222; 333; 444; 555; JJJ; QQQ; KKK; AAA
1 Pair + 2 Kickers
(more)332A; 443A; 5523; 554A; 6624; 665A; 7725; 7734; 776A; 8826; 8835; 887A...
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 Pair99; TT; JJ; QQ; KK; AA
3 to a Royal FlushTJQ; JQK
1 Pair88
3 to a Royal FlushJQA; JKA; QKA
1 Pair77
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA
1 Pair + 1 Kicker332; 33A; 443; 44A; 552; 553; 554; 55A; 662; 664; 665; 66A
1 Pair55; 66
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
1 Pair33; 44
4 to a Flush
(more)2457; 2458; 2459; 245T; 2467; 2468; 2469; 246T; 2478; 2479; 247T; 2489...
1 Pair + 1 Kicker22A
1 Pair22
3 to a Straight FlushA23; A34; A45; 235; 9QK
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Flush56A; 67A; 78A; 89A; 9TA
3 to a Straight Flush246; 347; 678; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK
2 to a Royal FlushJQ
3 to a Straight Flush345; 456; 567; 789
4 to a StraightJQKA
2 to a Royal FlushJA; JK; QA; QK; KA
3 to a Flush257; 268; 279; 28T; 358; 369; 37T; 459; 46T
4 to a Straight9JQK; TJQA; TJKA
3 to a Straight Flush
(more)A24; A25; A35; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 78J; 79T...
4 to a StraightTQKA
3 to a Straight Flush9TK
Single Cardan Ace
3 to a Straight Flush234; 245
3 to a StraightJQK
2 to a StraightJQ; QK
2 to a Royal FlushTJ; TQ
2 to a StraightJK
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 256; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
3 to a Straight235
Single Carda Ten
Single Carda Nine
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: TASingle Card: an Ace
(more)2♣ 3♣ 4♣ 10♦ A♦
1 Pair: 661 Pair + 1 Kicker: 662
(more)6♣ 6♦ 2♣ 7♣ 8♣
1 Pair: 661 Pair + 1 Kicker: 664
(more)6♣ 6♦ 4♣ 7♣ 8♦
1 Pair: 661 Pair + 1 Kicker: 665
(more)6♣ 6♦ 5♣ 7♣ 8♦
1 Pair: 661 Pair + 1 Kicker: 66A
(more)6♣ 6♦ 7♣ 8♣ A♣
2 to a Royal Flush: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
Garbage: Discard everythingSingle Card: a Nine
(more)2♣ 3♣ 4♦ 6♦ 9♣
Single Card: a NineSingle Card: a Ten
(more)2♣ 3♣ 4♦ 9♥ 10♣
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
Single Card: a Ten3 to a Straight: 235
(more)2♣ 3♣ 5♦ 6♦ 10♣
2 to a Straight: JQSingle Card: an Ace
(more)3♣ 5♦ J♣ Q♥ A♦
Single Card: an EightGarbage: Discard everything
(more)3♣ 4♣ 5♦ 7♦ 8♥
4 to a Straight: JQKA2 to a Royal Flush: JQ
(more)2♣ J♣ Q♣ K♦ A♦
Single Card: a Nine3 to a Straight: 235
(more)2♣ 3♣ 5♦ 6♦ 9♥
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 8♦ 9♦ 10♣ Q♣
3 to a Straight Flush: 245Single Card: an Ace
(more)2♣ 4♣ 5♣ 7♦ A♦
Single Card: an Ace3 to a Straight Flush: 78T
(more)6♣ 7♦ 8♦ 10♦ A♣
Single Card: an Ace3 to a Straight Flush: 79T
(more)6♣ 7♦ 9♦ 10♦ A♣
3 of a Kind + 1 Kicker: 66623 of a Kind + 1 Kicker: 6663
(more)6♣ 6♦ 6♥ 2♣ 3♣
Single Card: an EightSingle Card: a Nine
(more)3♣ 4♣ 5♦ 8♥ 9♣
2 to a Straight Flush: 45Single Card: a Ten
(more)4♣ 5♣ 7♦ 8♥ 10♦
Single Card: an Ace3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ A♥
Single Card: an Ace3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ A♥
Single Card: an Ace3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ A♥
Single Card: an Ace3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ A♥
Single Card: an Ace3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ A♥
Single Card: an Ace3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ A♥
Single Card: an Ace3 to a Straight Flush: 679
(more)5♣ 6♦ 7♦ 9♦ A♥
Single Card: an Ace3 to a Straight Flush: 689
(more)5♣ 6♦ 8♦ 9♦ A♥
2 to a Royal Flush: TJSingle Card: an Ace
(more)2♣ 6♣ 10♦ J♦ A♣
3 to a Straight Flush: 234Single Card: an Ace
(more)2♣ 3♣ 4♣ 7♦ A♦
4 to a Flush: 2TJA3 to a Royal Flush: TJA
(more)2♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 3TJA3 to a Royal Flush: TJA
(more)3♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 4TJA3 to a Royal Flush: TJA
(more)4♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 5TJA3 to a Royal Flush: TJA
(more)5♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 6TJA3 to a Royal Flush: TJA
(more)6♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 7TJA3 to a Royal Flush: TJA
(more)7♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 8TJA3 to a Royal Flush: TJA
(more)8♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 9TJA3 to a Royal Flush: TJA
(more)9♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 2TQA3 to a Royal Flush: TQA
(more)2♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 3TQA3 to a Royal Flush: TQA
(more)3♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 4TQA3 to a Royal Flush: TQA
(more)4♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 5TQA3 to a Royal Flush: TQA
(more)5♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 6TQA3 to a Royal Flush: TQA
(more)6♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 7TQA3 to a Royal Flush: TQA
(more)7♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 8TQA3 to a Royal Flush: TQA
(more)8♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 9TQA3 to a Royal Flush: TQA
(more)9♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 2TKA3 to a Royal Flush: TKA
(more)2♣ 10♣ J♦ K♣ A♣
4 to a Flush: 3TKA3 to a Royal Flush: TKA
(more)3♣ 10♣ J♦ K♣ A♣
4 to a Flush: 4TKA3 to a Royal Flush: TKA
(more)4♣ 10♣ J♦ K♣ A♣
4 to a Flush: 5TKA3 to a Royal Flush: TKA
(more)5♣ 10♣ J♦ K♣ A♣
4 to a Flush: 6TKA3 to a Royal Flush: TKA
(more)6♣ 10♣ J♦ K♣ A♣
4 to a Flush: 7TKA3 to a Royal Flush: TKA
(more)7♣ 10♣ J♦ K♣ A♣
4 to a Flush: 8TKA3 to a Royal Flush: TKA
(more)8♣ 10♣ J♦ K♣ A♣
4 to a Flush: 9TKA3 to a Royal Flush: TKA
(more)9♣ 10♣ J♦ K♣ A♣
3 to a Straight Flush: 79J4 to a Straight: 9JQK7♣ 9♣ J♣ Q♦ K♥
3 to a Straight Flush: 7TJ4 to a Straight: TJQA7♣ 10♣ J♣ Q♦ A♥
3 to a Straight Flush: 7TJ4 to a Straight: TJKA7♣ 10♣ J♣ K♦ A♥
3 to a Royal Flush: TJK1 Pair: 777♣ 7♦ 10♥ J♥ K♥
3 to a Royal Flush: TQK1 Pair: 777♣ 7♦ 10♥ Q♥ K♥
3 to a Royal Flush: JQA1 Pair: 888♣ 8♦ J♥ Q♥ A♥
3 to a Royal Flush: JKA1 Pair: 888♣ 8♦ J♥ K♥ A♥
3 to a Royal Flush: QKA1 Pair: 888♣ 8♦ Q♥ K♥ A♥
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♣
3 of a Kind + 1 Kicker: 66643 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ 4♣
3 of a Kind + 1 Kicker: 66653 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ 5♣
3 of a Kind + 1 Kicker: 666A3 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ A♣