# 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 Flush24,106422,805,0240.00002147,145.2112,265.160.511314
Straight Flush1,6062,163,701,8920.0001099,212.56259.680.174327
Four Aces with any 2,3,412,1061,106,907,7680.00005618,008.038,058.790.672256
Four Aces with any J,Q,K9,7061,170,826,1040.00005917,024.935,466.030.570105
Four 2's, 3's, 4's with any A,2,3,44,9062,967,806,6760.0001496,716.493,497.440.730442
Four J's, Q's, K's with any J,Q,K,A4,9063,801,693,2160.0001915,243.254,480.140.935679
Four Aces4,9062,026,172,5920.0001029,837.872,387.760.498685
Four 2's, 3's, 4's2,5068,009,261,5320.0004022,488.772,405.331.006922
Four 5's through K's1,60628,095,572,2800.001409709.483,371.872.263632
Full House316223,241,593,0320.01119989.29737.983.539032
Flush286218,548,692,2040.01096491.21563.463.135715
Straight226242,484,879,9480.01216582.20338.042.749257
Three of a Kind1961,511,748,248,5920.07584113.191,417.1814.864758
Two Pair1662,591,157,372,7680.1299927.691,479.8921.578646
Jacks or Better304,033,949,168,3400.2023734.94173.766.071192
Nothing011,062,335,815,2320.5549701.801,951.670.000000
Totals19,933,230,517,2001.0000002.2548,854.1959.301962

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush24,106418,063,0080.00002147,679.9712,127.600.505579
Straight Flush1,6062,145,739,5480.0001089,289.68257.520.172880
Four Aces with any 2,3,412,1061,108,088,3760.00005617,988.858,067.390.672973
Four Aces with any J,Q,K9,7061,172,207,4840.00005917,004.875,472.480.570778
Four 2's, 3's, 4's with any A,2,3,44,9062,968,121,2200.0001496,715.773,497.810.730519
Four J's, Q's, K's with any J,Q,K,A4,9063,806,279,5680.0001915,236.934,485.550.936808
Four Aces4,9062,028,493,5120.0001029,826.622,390.500.499256
Four 2's, 3's, 4's2,5068,009,819,0280.0004022,488.602,405.511.006992
Four 5's through K's1,60628,095,892,0560.001410709.473,371.922.263657
Full House316223,275,767,4360.01120189.28738.103.539574
Flush286217,506,269,7840.01091291.64560.793.120758
Straight226242,268,381,7800.01215482.28337.752.746803
Three of a Kind1961,512,100,024,6440.07585813.181,417.5514.868217
Two Pair1662,591,509,069,9080.1300097.691,480.1421.581575
Jacks or Better304,042,266,081,8760.2027904.93174.096.083709
Nothing011,054,552,217,9720.5545791.801,950.180.000000
Totals19,933,230,517,2001.0000002.2548,734.8759.300079

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four J's, Q's, K's with any J,Q,K,A; Four 2's, 3's, 4's with an...
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; AAA
Pat HandStraight; Flush; Full House
3 of a Kind + 1 KickerJJJQ; JJJK; JJJA; QQQJ; QQQK; QQQA; KKKJ; KKKQ; KKKA
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
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 Pair22; 33; 44; JJ; QQ; KK; AA
4 to a Flush
(more)234J; 234Q; 234K; 235J; 235Q; 235K; 236A; 236J; 236Q; 236K; 237A; 237J...
1 Pair88; 99; TT
3 to a Royal FlushTJQ; JQK
1 Pair55; 66; 77
4 to a Flush
(more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 2367; 2368; 2369; 236T...
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
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
3 to a Straight Flush78T; 79T
2 to a Royal FlushQA; 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
Single Cardan Ace
2 to a Royal FlushTJ
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a StraightJQ
Single Carda Jack
2 to a Royal FlushTQ
Single Carda Queen
Single Carda 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...

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
Single Card: a KingSingle Card: a Queen
(more)2♣ 3♣ 4♦ Q♣ K♥
2 to a Royal Flush: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
Single Card: a Jack2 to a Straight: JQ
(more)2♣ 3♣ 10♣ J♦ Q♥
2 to a Straight: QKSingle Card: a Queen
(more)2♣ 3♣ 4♦ Q♣ K♦
2 to a Royal Flush: TJSingle Card: an Ace
(more)2♣ 3♣ 10♦ J♦ A♥
2 to a Straight Flush: 9TGarbage: Discard everything
(more)2♣ 3♣ 4♦ 9♥ 10♥
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 3♦ 9♣ 10♦ Q♦
2 to a Royal Flush: TQ2 to a Straight: JQ
(more)2♣ 3♣ 10♦ J♣ Q♦
Single Card: a KingSingle Card: a Jack
(more)2♣ 7♣ 8♦ J♣ K♥
Single Card: a King2 to a Royal Flush: TQ
(more)2♣ 3♦ 10♣ Q♣ K♥
Single Card: a TenGarbage: Discard everything
(more)2♣ 3♣ 4♦ 7♦ 10♥
2 to a Straight Flush: 89Garbage: Discard everything
(more)2♣ 3♣ 4♦ 8♥ 9♥
2 to a Royal Flush: JQ4 to a Straight: JQKA
(more)2♣ J♦ Q♦ K♣ A♣
2 to a Straight Flush: 78Garbage: Discard everything
(more)2♣ 3♣ 4♦ 7♥ 8♥
2 to a Straight Flush: 45Garbage: Discard everything
(more)2♣ 4♦ 5♦ 9♣ 10♣
3 to a Royal Flush: TJQ1 Pair: TT
(more)10♣ 10♦ 2♣ J♦ Q♦
4 to a Straight: 8TJQ2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ Q♦
4 to a Straight: 9TJK2 to a Royal Flush: TJ
(more)2♣ 9♦ 10♣ J♣ K♦
2 to a Straight: JQSingle Card: an Ace
(more)2♣ 6♣ J♦ Q♥ A♣
2 to a Straight Flush: 67Garbage: Discard everything
(more)2♣ 3♣ 6♦ 7♦ 10♣
2 to a Straight Flush: 34Garbage: Discard everything
(more)3♣ 4♣ 8♦ 9♦ 10♥
2 to a Straight Flush: 56Garbage: Discard everything
(more)2♣ 5♦ 6♦ 9♣ 10♣
Garbage: Discard everything4 to a Straight: 3567
(more)2♣ 3♣ 5♦ 6♦ 7♣
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: 3462 to a Royal Flush: JA3♣ 4♣ 6♣ J♦ A♦
3 to a Straight Flush: 3562 to a Royal Flush: JA3♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 4572 to a Royal Flush: JA4♣ 5♣ 7♣ J♦ A♦
3 to a Straight Flush: 4672 to a Royal Flush: JA4♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: JA5♣ 6♣ 8♣ J♦ A♦
3 to a Straight Flush: 5782 to a Royal Flush: JA5♣ 7♣ 8♣ J♦ A♦
3 to a Straight Flush: 6792 to a Royal Flush: JA6♣ 7♣ 9♣ J♦ A♦
3 to a Straight Flush: 6892 to a Royal Flush: JA6♣ 8♣ 9♣ J♦ A♦
3 to a Straight Flush: 3462 to a Royal Flush: QA3♣ 4♣ 6♣ Q♦ A♦
3 to a Straight Flush: 3562 to a Royal Flush: QA3♣ 5♣ 6♣ Q♦ A♦
3 to a Straight Flush: 4572 to a Royal Flush: QA4♣ 5♣ 7♣ Q♦ A♦
3 to a Straight Flush: 4672 to a Royal Flush: QA4♣ 6♣ 7♣ Q♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: QA5♣ 6♣ 8♣ Q♦ A♦
3 to a Straight Flush: 5782 to a Royal Flush: QA5♣ 7♣ 8♣ Q♦ A♦
3 to a Straight Flush: 6792 to a Royal Flush: QA6♣ 7♣ 9♣ Q♦ A♦
3 to a Straight Flush: 6892 to a Royal Flush: QA6♣ 8♣ 9♣ Q♦ A♦
3 to a Straight Flush: 3462 to a Royal Flush: KA3♣ 4♣ 6♣ K♦ A♦
3 to a Straight Flush: 3562 to a Royal Flush: KA3♣ 5♣ 6♣ K♦ A♦
3 to a Straight Flush: 4572 to a Royal Flush: KA4♣ 5♣ 7♣ K♦ A♦
3 to a Straight Flush: 4672 to a Royal Flush: KA4♣ 6♣ 7♣ K♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: KA5♣ 6♣ 8♣ K♦ A♦
3 to a Straight Flush: 5782 to a Royal Flush: KA5♣ 7♣ 8♣ K♦ A♦
3 to a Straight Flush: 6792 to a Royal Flush: KA6♣ 7♣ 9♣ K♦ A♦
3 to a Straight Flush: 6892 to a Royal Flush: KA6♣ 8♣ 9♣ K♦ A♦
3 to a Royal Flush: JQK1 Pair: 888♣ 8♦ J♥ Q♥ K♥