# 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 Flush9,601452,798,3160.00002344,022.322,088.340.218094
Straight Flush6012,174,592,2400.0001099,166.4237.740.065565
Four of a Kind30147,077,638,2280.002362423.41196.170.710892
Full House107229,414,726,6920.01150986.89102.131.231480
Flush81226,441,726,7040.01136088.0352.840.920161
Straight54224,565,053,0280.01126688.7619.120.608357
Three of a Kind391,482,929,029,2240.07439513.4451.062.901398
Two Pair262,574,748,990,2240.1291697.7422.503.358386
Jacks or Better134,272,916,220,6400.2143614.670.012.786699
Nothing010,872,509,741,9040.5454461.8389.380.000000
Totals19,933,230,517,2001.0000002.202,659.2912.801031

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush9,601458,366,4720.00002343,487.542,114.020.220776
Straight Flush6012,181,556,6920.0001099,137.1637.860.065775
Four of a Kind30147,075,780,6280.002362423.43196.160.710864
Full House107229,409,153,8920.01150986.89102.121.231450
Flush81226,020,800,7360.01133988.1952.740.918450
Straight54224,898,294,0840.01128388.6319.150.609259
Three of a Kind391,482,894,013,4640.07439313.4451.062.901329
Two Pair262,574,766,544,5440.1291707.7422.503.358408
Jacks or Better134,269,661,496,4600.2141984.670.012.784576
Nothing010,875,864,510,2280.5456151.8389.410.000000
Totals19,933,230,517,2001.0000002.202,685.0412.800889

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 Straight9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ
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
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a StraightTQKA
3 to a Straight Flush9TK
3 to a StraightJQK
2 to a StraightJQ; QK
2 to a Royal FlushTJ; TQ
2 to a StraightJK; QA
2 to a StraightJA; 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

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 3♦ 10♣ Q♣ A♦
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♦ 9♣ 10♦ K♦
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
4 to a Flush: 2TJK3 to a Royal Flush: TJK
(more)2♣ 9♦ 10♣ J♣ K♣
4 to a Flush: 3TJK3 to a Royal Flush: TJK
(more)3♣ 9♦ 10♣ J♣ K♣
4 to a Flush: 4TJK3 to a Royal Flush: TJK
(more)4♣ 9♦ 10♣ J♣ K♣
4 to a Flush: 5TJK3 to a Royal Flush: TJK
(more)5♣ 9♦ 10♣ J♣ K♣
4 to a Flush: 6TJK3 to a Royal Flush: TJK
(more)6♣ 9♦ 10♣ J♣ K♣
4 to a Flush: 7TJK3 to a Royal Flush: TJK
(more)7♣ 9♦ 10♣ J♣ K♣
4 to a Flush: 8TJK3 to a Royal Flush: TJK
(more)8♣ 9♦ 10♣ J♣ K♣
4 to a Flush: 2TQK3 to a Royal Flush: TQK
(more)2♣ 9♦ 10♣ Q♣ K♣
4 to a Flush: 3TQK3 to a Royal Flush: TQK
(more)3♣ 9♦ 10♣ Q♣ K♣
4 to a Flush: 4TQK3 to a Royal Flush: TQK
(more)4♣ 9♦ 10♣ Q♣ K♣
4 to a Flush: 5TQK3 to a Royal Flush: TQK
(more)5♣ 9♦ 10♣ Q♣ K♣
4 to a Flush: 6TQK3 to a Royal Flush: TQK
(more)6♣ 9♦ 10♣ Q♣ K♣
4 to a Flush: 7TQK3 to a Royal Flush: TQK
(more)7♣ 9♦ 10♣ Q♣ K♣
4 to a Flush: 8TQK3 to a Royal Flush: TQK
(more)8♣ 9♦ 10♣ Q♣ K♣
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♥