# 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 Flush1,601388,927,3440.00002051,251.8149.830.031238
Straight Flush1012,128,388,7120.0001079,365.411.030.010784
Four of a Kind5146,641,186,3360.002340427.375.400.119333
Full House27226,482,933,7440.01136288.016.560.306776
Flush21292,239,433,0440.01466168.214.770.307879
Straight14258,568,507,0320.01297277.091.580.181604
Three of a Kind91,453,530,814,8240.07292013.712.650.656280
Two Pair62,515,360,171,8960.1261897.921.160.757136
Jacks or Better33,980,427,958,6200.1996885.010.000.599064
Nothing011,157,462,195,6480.5597421.794.940.000000
Totals19,933,230,517,2001.0000002.2777.902.970095

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush1,601387,885,5400.00001951,389.4749.690.031154
Straight Flush1012,109,851,4120.0001069,447.691.020.010690
Four of a Kind5146,645,218,3600.002340427.345.400.119344
Full House27226,504,361,1600.01136388.006.560.306805
Flush21291,733,017,2280.01463668.334.760.307346
Straight14257,885,665,6560.01293777.291.570.181125
Three of a Kind91,453,755,399,6960.07293113.712.650.656381
Two Pair62,515,767,812,9280.1262107.921.160.757258
Jacks or Better33,986,268,336,6120.1999815.000.000.599943
Nothing011,152,172,968,6080.5594761.794.940.000000
Totals19,933,230,517,2001.0000002.2777.752.970047

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 HandStraight; Flush
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
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 Straight89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush8TJ; 8JQ; 9TJ; 9JQ; 9JK; 9QK
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; TJKA; JQKA
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 9TQ
2 to a Royal FlushJQ
4 to a Straight9JQK; TJQA; TQKA
3 to a Flush
(more)2TA; 2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3TA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA...
2 to a Royal FlushJA; JK; QA; QK; KA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a StraightTJQ; JQK
2 to a StraightJQ
3 to a Flush29A; 39A; 49A; 59A; 69A; 79A; 89A
2 to a StraightJK; QK
3 to a Flush
(more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26A; 26J; 26Q; 27A; 27J; 27Q; 28A; 28J...
2 to a Royal FlushTJ; TQ
3 to a Flush
(more)23K; 24K; 25K; 26K; 27K; 28K; 34K; 35K; 36K; 37K; 38K; 45K; 46K; 47K...
2 to a StraightJA; QA; KA
2 to a Royal FlushTK
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
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...

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 9♣ 10♦ Q♦ A♥
2 to a Royal Flush: TJ3 to a Flush: 2TJ
(more)2♣ 3♦ 4♦ 10♣ J♣
2 to a Royal Flush: TJ3 to a Flush: 3TJ
(more)2♣ 3♦ 4♣ 10♦ J♦
2 to a Royal Flush: TJ3 to a Flush: 4TJ
(more)2♣ 3♣ 4♦ 10♦ J♦
2 to a Royal Flush: TJ3 to a Flush: 5TJ
(more)2♣ 3♣ 5♦ 10♦ J♦
2 to a Royal Flush: TJ3 to a Flush: 6TJ
(more)2♣ 3♣ 6♦ 10♦ J♦
4 to a Straight: 9JQK2 to a Royal Flush: JQ
(more)2♣ 9♦ J♣ Q♣ K♦
4 to a Straight: TJQA2 to a Royal Flush: JQ
(more)2♣ 10♦ J♣ Q♣ A♦
3 to a Straight Flush: 69TSingle Card: a King
(more)2♣ 6♦ 9♦ 10♦ K♣
3 to a Straight Flush: 458Single Card: an Ace
(more)2♣ 4♦ 5♦ 8♦ A♣
3 to a Flush: 2JQ2 to a Royal Flush: JQ
(more)2♣ 8♦ 10♦ J♣ Q♣
3 to a Flush: 3JQ2 to a Royal Flush: JQ
(more)3♣ 8♦ 10♦ J♣ Q♣
3 to a Flush: 4JQ2 to a Royal Flush: JQ
(more)4♣ 8♦ 10♦ J♣ Q♣
3 to a Flush: 5JQ2 to a Royal Flush: JQ
(more)5♣ 8♦ 10♦ J♣ Q♣
3 to a Flush: 6JQ2 to a Royal Flush: JQ
(more)6♣ 8♦ 10♦ J♣ Q♣
3 to a Flush: 7JQ2 to a Royal Flush: JQ
(more)7♣ 8♦ 10♦ J♣ Q♣
3 to a Straight Flush: 347Single Card: an Ace
(more)2♣ 3♦ 4♦ 7♦ A♣
3 to a Straight Flush: 357Single Card: an Ace
(more)2♣ 3♦ 5♦ 7♦ A♣
3 to a Straight Flush: 236Single Card: an Ace
(more)2♣ 3♣ 6♣ 7♦ A♦
3 to a Straight Flush: 246Single Card: an Ace
(more)2♣ 4♣ 6♣ 7♦ A♦
3 to a Straight Flush: 256Single Card: an Ace
(more)2♣ 5♣ 6♣ 7♦ A♦
3 to a Straight Flush: 569Single Card: a King
(more)2♣ 5♦ 6♦ 9♦ K♣
3 to a Straight Flush: 579Single Card: a King
(more)2♣ 5♦ 7♦ 9♦ K♣
3 to a Straight Flush: 589Single Card: a King
(more)2♣ 5♦ 8♦ 9♦ K♣
3 to a Straight Flush: 67TSingle Card: a Queen
(more)2♣ 6♦ 7♦ 10♦ Q♣
3 to a Straight Flush: 68TSingle Card: a Queen
(more)2♣ 6♦ 8♦ 10♦ Q♣
3 to a Straight Flush: 69TSingle Card: a Queen
(more)2♣ 6♦ 9♦ 10♦ Q♣
3 to a Straight Flush: 67TSingle Card: a King
(more)2♣ 6♦ 7♦ 10♦ K♣
3 to a Straight Flush: 68TSingle Card: a King
(more)2♣ 6♦ 8♦ 10♦ K♣
3 to a Straight Flush: 367Single Card: an Ace
(more)2♣ 3♦ 6♦ 7♦ A♣
3 to a Straight Flush: 468Single Card: an Ace
(more)2♣ 4♦ 6♦ 8♦ A♣
3 to a Straight Flush: 478Single Card: an Ace
(more)2♣ 4♦ 7♦ 8♦ A♣
3 to a Straight Flush: 569Single Card: an Ace
(more)2♣ 5♦ 6♦ 9♦ A♣
3 to a Straight Flush: 579Single Card: an Ace
(more)2♣ 5♦ 7♦ 9♦ A♣
3 to a Straight Flush: 589Single Card: an Ace
(more)2♣ 5♦ 8♦ 9♦ A♣
3 to a Straight Flush: 67TSingle Card: an Ace
(more)2♣ 6♦ 7♦ 10♦ A♣
3 to a Straight Flush: 68TSingle Card: an Ace
(more)2♣ 6♦ 8♦ 10♦ A♣
3 to a Straight Flush: 69TSingle Card: an Ace
(more)2♣ 6♦ 9♦ 10♦ A♣
3 to a Straight Flush: 589Single Card: a Queen
(more)2♣ 5♦ 8♦ 9♦ Q♣
3 to a Straight Flush: 236Single Card: a King
(more)2♣ 3♣ 6♣ 7♦ K♦
3 to a Straight Flush: 246Single Card: a King
(more)2♣ 4♣ 6♣ 7♦ K♦
3 to a Straight Flush: 256Single Card: a King
(more)2♣ 5♣ 6♣ 7♦ K♦
3 to a Straight Flush: 347Single Card: a King
(more)2♣ 3♦ 4♦ 7♦ K♣
3 to a Straight Flush: 357Single Card: a King
(more)2♣ 3♦ 5♦ 7♦ K♣
3 to a Straight Flush: 367Single Card: a King
(more)2♣ 3♦ 6♦ 7♦ K♣
3 to a Straight Flush: 458Single Card: a King
(more)2♣ 4♦ 5♦ 8♦ K♣
3 to a Straight Flush: 468Single Card: a King
(more)2♣ 4♦ 6♦ 8♦ K♣
3 to a Straight Flush: 478Single Card: a King
(more)2♣ 4♦ 7♦ 8♦ K♣
3 to a Flush: 29J2 to a Straight: JK2♣ 9♣ J♣ K♦ A♥
3 to a Flush: 39J2 to a Straight: JK3♣ 9♣ J♣ K♦ A♥
3 to a Flush: 49J2 to a Straight: JK4♣ 9♣ J♣ K♦ A♥
3 to a Flush: 59J2 to a Straight: JK5♣ 9♣ J♣ K♦ A♥
3 to a Flush: 69J2 to a Straight: JK6♣ 9♣ J♣ K♦ A♥
3 to a Flush: 29K2 to a Straight: JK2♣ 9♣ J♦ K♣ A♥
3 to a Flush: 39K2 to a Straight: JK3♣ 9♣ J♦ K♣ A♥
3 to a Flush: 49K2 to a Straight: JK4♣ 9♣ J♦ K♣ A♥
3 to a Flush: 59K2 to a Straight: JK5♣ 9♣ J♦ K♣ A♥
3 to a Flush: 69K2 to a Straight: JK6♣ 9♣ J♦ K♣ A♥
3 to a Flush: 79K2 to a Straight: JK7♣ 9♣ J♦ K♣ A♥
3 to a Flush: 89K2 to a Straight: JK8♣ 9♣ J♦ K♣ A♥
3 to a Flush: 29Q2 to a Straight: QK2♣ 9♣ Q♣ K♦ A♥
3 to a Flush: 39Q2 to a Straight: QK3♣ 9♣ Q♣ K♦ A♥
3 to a Flush: 49Q2 to a Straight: QK4♣ 9♣ Q♣ K♦ A♥
3 to a Flush: 59Q2 to a Straight: QK5♣ 9♣ Q♣ K♦ A♥
3 to a Flush: 69Q2 to a Straight: QK6♣ 9♣ Q♣ K♦ A♥
3 to a Flush: 79Q2 to a Straight: QK7♣ 9♣ Q♣ K♦ A♥
3 to a Flush: 29K2 to a Straight: QK2♣ 9♣ Q♦ K♣ A♥
3 to a Flush: 39K2 to a Straight: QK3♣ 9♣ Q♦ K♣ A♥
3 to a Flush: 49K2 to a Straight: QK4♣ 9♣ Q♦ K♣ A♥
3 to a Flush: 59K2 to a Straight: QK5♣ 9♣ Q♦ K♣ A♥
3 to a Flush: 69K2 to a Straight: QK6♣ 9♣ Q♦ K♣ A♥
3 to a Flush: 79K2 to a Straight: QK7♣ 9♣ Q♦ K♣ A♥
3 to a Flush: 89K2 to a Straight: QK8♣ 9♣ Q♦ K♣ A♥
3 to a Straight Flush: 458Single Card: a Queen4♣ 5♣ 8♣ 9♦ Q♦
3 to a Straight Flush: 468Single Card: a Queen4♣ 6♣ 8♣ 9♦ Q♦
3 to a Straight Flush: 478Single Card: a Queen4♣ 7♣ 8♣ 9♦ Q♦
3 to a Straight Flush: 5692 to a Royal Flush: TK5♣ 6♣ 9♣ 10♦ K♦
3 to a Straight Flush: 5792 to a Royal Flush: TK5♣ 7♣ 9♣ 10♦ K♦
3 to a Straight Flush: 5892 to a Royal Flush: TK5♣ 8♣ 9♣ 10♦ K♦
3 to a Straight Flush: 78J2 to a Royal Flush: QA7♣ 8♣ J♣ Q♦ A♦
3 to a Straight Flush: 79J2 to a Royal Flush: QA7♣ 9♣ J♣ Q♦ A♦
3 to a Straight Flush: 78J2 to a Royal Flush: KA7♣ 8♣ J♣ K♦ A♦
3 to a Straight Flush: 79J2 to a Royal Flush: KA7♣ 9♣ J♣ K♦ A♦
3 to a Straight Flush: 89Q2 to a Royal Flush: KA8♣ 9♣ Q♣ K♦ A♦
2 to a Royal Flush: TJ3 to a Flush: 26A2♣ 6♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 36A3♣ 6♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 46A4♣ 6♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 56A5♣ 6♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 27A2♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 37A3♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 47A4♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 57A5♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 67A6♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 28A2♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 38A3♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 48A4♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 58A5♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 68A6♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 78A7♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 29A2♣ 9♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 39A3♣ 9♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 49A4♣ 9♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 59A5♣ 9♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 69A6♣ 9♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 79A7♣ 9♣ 10♦ J♦ A♣