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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 Flush800513,684,5160.00002638,804.4216.450.020616
Straight Flush502,127,256,9440.0001079,370.390.260.005336
Four Aces with any 2,3,48001,407,094,8960.00007114,166.2345.070.056472
Four 2's, 3's, 4's with any A,2,3,44003,440,683,8240.0001735,793.3927.480.069044
Four Aces1602,985,179,6640.0001506,677.403.790.023961
Four 2's, 3's, 4's806,384,406,1280.0003203,122.172.000.025623
Four 5's through K's5032,299,585,5360.001620617.143.900.081019
Full House9209,721,570,7680.01052195.050.680.094691
Flush5218,537,793,0000.01096391.210.180.054817
Straight4272,234,057,0040.01365773.220.130.054629
Three of a Kind21,499,822,169,4560.07524213.290.080.150485
Two Pair12,441,164,915,1520.1224678.170.000.122467
Jacks or Better14,206,743,292,4200.2110424.740.000.211042
Nothing011,035,848,827,8920.5536411.810.520.000000
Totals19,933,230,517,2001.0000002.24100.530.970204

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800512,928,0600.00002638,861.6516.430.020586
Straight Flush502,136,434,5200.0001079,330.140.260.005359
Four Aces with any 2,3,48001,406,555,1600.00007114,171.6745.050.056451
Four 2's, 3's, 4's with any A,2,3,44003,440,692,0800.0001735,793.3827.480.069044
Four Aces1602,982,998,5320.0001506,682.283.780.023944
Four 2's, 3's, 4's806,384,322,5360.0003203,122.222.000.025623
Four 5's through K's5032,297,144,3400.001620617.183.890.081013
Full House9209,692,917,2880.01052095.060.680.094678
Flush5218,934,460,2600.01098391.050.180.054917
Straight4272,557,535,3400.01367473.130.130.054694
Three of a Kind21,499,528,720,7720.07522813.290.080.150455
Two Pair12,440,630,237,5000.1224408.170.000.122440
Jacks or Better14,205,641,266,5760.2109864.740.000.210986
Nothing011,037,084,304,2360.5537031.810.520.000000
Totals19,933,230,517,2001.0000002.24100.480.970191

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four 2's, 3's, 4's with any A,2,3,4; Four Aces with any 2,3,4; Straigh...
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 Kind + 1 Kicker2223; 2224; 222A; 3332; 3334; 333A; 4442; 4443; 444A; AAA2; AAA3; AAA4
3 of a Kind222; 333; 444; AAA
Pat HandStraight; Flush; Full House
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal FlushTJQ; JQK
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
1 Pair22; 33; 44
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush9TJ; 9JQ
1 Pair55; 66; 77; 88; 99; TT
4 to a StraightJQKA
3 to a Straight Flush345; 456; 567; 678; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
4 to a Straight9JQK; TJQA; TJKA; TQKA
2 to a Royal FlushJQ
3 to a Straight Flush789
2 to a Royal FlushJA; JK; QA; QK; KA
3 to a StraightJQK
3 to a Straight FlushA23; A24; A25; A34; A35; A45
Single Cardan Ace
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a Straight Flush
(more)234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 78J; 79T...
3 to a StraightTJQ
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ; TQ; TK
Single Carda Jack; a Queen; a King
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...
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: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♦ 9♣ 10♦ K♦
2 to a Royal Flush: JQ4 to a Straight: 9JQK
(more)2♣ 9♣ J♦ Q♦ K♣
2 to a Royal Flush: JQ4 to a Straight: TJQA
(more)2♣ 10♣ J♦ Q♦ A♣
Single Card: an Ace3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ 6♣ A♦
4 to a Straight: 89TQSingle Card: a Queen
(more)2♣ 8♣ 9♦ 10♦ Q♣
4 to a Straight: 89JQSingle Card: an Ace
(more)8♣ 9♣ J♦ Q♣ A♥
Single Card: an Ace3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ 6♣ A♦
3 to a Straight Flush: 78JSingle Card: an Ace
(more)2♣ 7♦ 8♦ J♦ A♣
3 to a Straight Flush: 79JSingle Card: an Ace
(more)2♣ 7♦ 9♦ J♦ A♣
3 to a Straight Flush: 89QSingle Card: an Ace
(more)2♣ 8♦ 9♦ Q♦ A♣
3 to a Straight Flush: 7TJSingle Card: an Ace
(more)2♣ 7♦ 10♦ J♦ A♣
3 to a Straight Flush: 8TQSingle Card: an Ace
(more)2♣ 8♦ 10♦ Q♦ A♣
3 to a Straight Flush: 9TKSingle Card: an Ace
(more)2♣ 9♦ 10♦ K♦ A♣
4 to a Straight: 79TJSingle Card: a Jack
(more)2♣ 7♦ 9♣ 10♦ J♣
3 to a Straight Flush: 346Single Card: an Ace
(more)3♣ 4♣ 6♣ 10♦ A♦