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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 Flush500415,030,2120.00002148,028.385.180.010411
Straight Flush502,129,961,8520.0001079,358.490.260.005343
Four of a Kind2547,097,786,9960.002363423.231.360.059069
Full House9229,406,992,8840.01150986.890.740.103579
Flush6232,435,333,4760.01166185.760.290.069964
Straight4221,568,743,7120.01111689.960.100.044462
Three of a Kind31,483,021,254,4200.07439913.440.300.223198
Two Pair22,573,695,847,1240.1291167.740.130.258232
Jacks or Better14,276,366,615,1160.2145354.660.000.214535
Nothing010,867,092,951,4080.5451751.830.530.000000
Totals19,933,230,517,2001.0000002.208.900.988793

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush500424,395,6120.00002146,968.515.300.010645
Straight Flush502,135,734,3440.0001079,333.200.260.005357
Four of a Kind2547,104,759,1880.002363423.171.360.059078
Full House9229,505,965,8120.01151486.850.740.103624
Flush6229,082,761,7640.01149387.010.290.068955
Straight4222,309,989,5800.01115389.660.100.044611
Three of a Kind31,483,761,356,3160.07443713.430.300.223310
Two Pair22,575,455,988,1400.1292047.740.130.258408
Jacks or Better14,281,248,044,2600.2147794.660.000.214779
Nothing010,862,201,522,1840.5449291.840.530.000000
Totals19,933,230,517,2001.0000002.209.020.988768

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
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
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 Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
4 to a StraightJQKA
2 to a Royal FlushJA; JQ; JK; QA; QK; KA
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a StraightJQK
2 to a StraightJQ; JK; QK
2 to a StraightQA; KA
2 to a Royal FlushTJ; TQ
2 to a StraightJA
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)
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 3♣ 4♦ 10♦ Q♦
2 to a Straight: JA2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ A♦
3 to a Flush: 2JA2 to a Royal Flush: JA
(more)2♣ 3♦ J♣ Q♦ A♣
3 to a Flush: 3JA2 to a Royal Flush: JA
(more)2♣ 3♦ J♦ Q♣ A♦
3 to a Flush: 4JA2 to a Royal Flush: JA
(more)2♣ 4♦ J♦ Q♣ A♦
3 to a Flush: 5JA2 to a Royal Flush: JA
(more)2♣ 5♦ J♦ Q♣ A♦
3 to a Flush: 6JA2 to a Royal Flush: JA
(more)2♣ 6♦ J♦ Q♣ A♦
3 to a Flush: 7JA2 to a Royal Flush: JA
(more)2♣ 7♦ J♦ Q♣ A♦
3 to a Flush: 8JA2 to a Royal Flush: JA
(more)2♣ 8♦ J♦ Q♣ A♦
3 to a Flush: 2QA2 to a Royal Flush: QA
(more)2♣ 3♦ J♦ Q♣ A♣
3 to a Flush: 3QA2 to a Royal Flush: QA
(more)2♣ 3♦ J♣ Q♦ A♦
3 to a Flush: 4QA2 to a Royal Flush: QA
(more)2♣ 4♦ J♣ Q♦ A♦
3 to a Flush: 5QA2 to a Royal Flush: QA
(more)2♣ 5♦ J♣ Q♦ A♦
3 to a Flush: 6QA2 to a Royal Flush: QA
(more)2♣ 6♦ J♣ Q♦ A♦
3 to a Flush: 7QA2 to a Royal Flush: QA
(more)2♣ 7♦ J♣ Q♦ A♦
3 to a Flush: 8QA2 to a Royal Flush: QA
(more)2♣ 8♦ J♣ Q♦ A♦
3 to a Flush: 2KA2 to a Royal Flush: KA
(more)2♣ 3♦ J♦ K♣ A♣
3 to a Flush: 3KA2 to a Royal Flush: KA
(more)2♣ 3♦ J♣ K♦ A♦
3 to a Flush: 4KA2 to a Royal Flush: KA
(more)2♣ 4♦ J♣ K♦ A♦
3 to a Flush: 5KA2 to a Royal Flush: KA
(more)2♣ 5♦ J♣ K♦ A♦
3 to a Flush: 6KA2 to a Royal Flush: KA
(more)2♣ 6♦ J♣ K♦ A♦
3 to a Flush: 7KA2 to a Royal Flush: KA
(more)2♣ 7♦ J♣ K♦ A♦
3 to a Flush: 8KA2 to a Royal Flush: KA
(more)2♣ 8♦ J♣ K♦ A♦
3 to a Flush: 9KA2 to a Royal Flush: KA
(more)2♣ 9♦ J♣ K♦ A♦
3 to a Flush: 9JA2 to a Royal Flush: JA
(more)2♣ 9♦ J♦ Q♣ A♦
3 to a Flush: 9QA2 to a Royal Flush: QA
(more)2♣ 9♦ J♣ Q♦ A♦
Single Card: a Jack2 to a Royal Flush: TJ
(more)2♣ 7♦ 9♦ 10♣ J♣
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 Straight Flush: 8TQ4 to a Straight: TQKA8♣ 10♣ Q♣ K♦ A♥