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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 Flush800469,657,3320.00002442,442.0715.040.018849
Straight Flush502,160,889,3080.0001089,224.550.260.005420
Four Aces with any J,Q,K4001,280,722,2840.00006415,564.0510.230.025700
Four J's, Q's, K's with any J,Q,K,A1603,445,292,6760.0001735,785.644.370.027655
Four Aces1603,151,381,2840.0001586,325.244.000.025295
Four J's, Q's, K's808,212,741,7640.0004122,427.112.570.032961
Four 2's through 10's5031,437,820,1280.001577634.053.790.078858
Full House9216,049,444,9200.01083992.260.690.097548
Flush6221,328,581,5800.01110390.060.280.066621
Straight4252,715,833,2640.01267878.880.110.050712
Three of a Kind31,495,530,484,9680.07502713.330.300.225081
Two Pair12,450,110,290,1200.1229168.140.000.122916
Jacks or Better14,324,735,720,8720.2169614.610.000.216961
Nothing010,922,601,656,7000.5479591.820.540.000000
Totals19,933,230,517,2001.0000002.2142.190.994578

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800467,022,1200.00002342,681.5614.960.018743
Straight Flush502,157,385,6680.0001089,239.530.260.005412
Four Aces with any J,Q,K4001,289,041,7520.00006515,463.6010.300.025867
Four J's, Q's, K's with any J,Q,K,A1603,445,438,1880.0001735,785.404.370.027656
Four Aces1603,117,052,8360.0001566,394.903.950.025020
Four J's, Q's, K's808,212,913,5920.0004122,427.062.570.032962
Four 2's through 10's5031,430,259,6960.001577634.213.790.078839
Full House9215,927,484,1920.01083392.310.690.097493
Flush6220,537,113,4320.01106490.380.280.066383
Straight4254,327,021,0760.01275978.380.120.051036
Three of a Kind31,494,014,649,8280.07495113.340.300.224853
Two Pair12,447,757,421,4520.1227988.140.000.122798
Jacks or Better14,334,466,698,1000.2174494.600.000.217449
Nothing010,916,081,015,2680.5476321.830.540.000000
Totals19,933,230,517,2001.0000002.2142.120.994510

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 Aces with any J,Q,K; 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 KindAAA
Pat HandStraight; Flush; Full House
3 of a Kind222; 333; 444; 555; 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...
1 PairJJ; QQ; KK
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
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T
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
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a StraightJA; JQ; JK; QA; QK; KA
Single Cardan Ace
2 to a Royal FlushTJ; TQ
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)
Single Card: an Ace2 to a Straight: KA
(more)2♣ 3♣ 10♣ K♦ A♥
Single Card: an Ace2 to a Straight: QA
(more)2♣ 3♣ 10♣ Q♦ A♥
Single Card: an Ace2 to a Straight: JA
(more)2♣ 3♣ 10♣ J♦ A♥
2 to a Straight: JQ4 to a Straight: 89JQ
(more)2♣ 8♣ 9♣ J♦ Q♥
2 to a Straight: JQ2 to a Straight: QA
(more)2♣ 3♣ J♣ Q♦ A♥
2 to a Royal Flush: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
2 to a Straight: JQ2 to a Straight: JA
(more)2♣ 3♣ J♦ Q♣ A♥
2 to a Straight: QK2 to a Straight: KA
(more)2♣ 3♣ Q♣ K♦ A♥
2 to a Straight: JK2 to a Straight: KA
(more)2♣ 3♣ J♣ K♦ A♥
2 to a Straight: JK2 to a Straight: JA
(more)2♣ 3♣ J♦ K♣ A♥
2 to a Straight: QK2 to a Straight: QA
(more)2♣ 3♣ Q♦ K♣ A♥
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 3♦ 9♣ 10♦ Q♦
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
2 to a Royal Flush: TJ2 to a Straight: JA
(more)2♣ 3♣ 10♦ J♦ A♥
2 to a Straight: KA2 to a Straight: JK
(more)2♣ 9♣ J♦ K♥ A♣
2 to a Straight: KA2 to a Straight: QK
(more)2♣ 9♣ Q♦ K♥ A♣
2 to a Straight: JA2 to a Straight: JK
(more)2♣ 9♦ J♥ K♦ A♣
2 to a Straight: QA2 to a Straight: QK
(more)2♣ 9♦ Q♥ K♦ A♣