# 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 Flush800497,511,0120.00002540,065.9115.940.019967
Straight Flush502,132,728,6080.0001079,346.350.260.005350
Four Aces with any 2,3,44001,227,489,2280.00006216,239.039.810.024632
Four 2's, 3's, 4's with any A,2,3,41602,854,321,0320.0001436,983.533.620.022911
Four Aces1603,457,361,4600.0001735,765.454.390.027752
Four 2's, 3's, 4's807,662,852,8880.0003842,601.282.400.030754
Four 5's through K's5032,536,780,4160.001632612.643.920.081614
Full House8216,627,427,8720.01086892.020.540.086941
Flush5218,972,097,3000.01098591.030.180.054926
Straight4258,156,990,8280.01295177.210.120.051804
Three of a Kind31,501,655,447,2800.07533413.270.310.226003
Two Pair12,454,569,282,4480.1231408.120.000.123140
Jacks or Better14,227,183,284,1120.2120674.720.000.212067
Nothing011,005,696,942,7160.5521281.810.520.000000
Totals19,933,230,517,2001.0000002.2341.990.967861

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800500,082,7560.00002539,859.8616.020.020070
Straight Flush502,124,883,8600.0001079,380.860.260.005330
Four Aces with any 2,3,44001,233,626,5320.00006216,158.249.850.024755
Four 2's, 3's, 4's with any A,2,3,41602,855,484,6120.0001436,980.683.620.022920
Four Aces1603,475,315,6800.0001745,735.664.410.027896
Four 2's, 3's, 4's807,662,444,2160.0003842,601.422.400.030752
Four 5's through K's5032,523,152,8560.001632612.893.920.081580
Full House8216,669,326,0400.01087092.000.540.086958
Flush5219,190,731,1440.01099690.940.180.054981
Straight4256,813,161,1920.01288477.620.120.051535
Three of a Kind31,502,148,806,2320.07535913.270.310.226077
Two Pair12,455,308,913,7520.1231778.120.000.123177
Jacks or Better14,221,346,629,0600.2117744.720.000.211774
Nothing011,011,377,959,2680.5524131.810.520.000000
Totals19,933,230,517,2001.0000002.2342.150.967806

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 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
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a Straight89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush8TJ; 9TJ; 9JQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; JQKA
3 to a Straight Flush89T; 89J; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal FlushJQ
3 to a Straight Flush345; 456; 567; 678; 789
2 to a Royal FlushJK; QK
4 to a Straight9JQK; TJKA
4 to a Straight8TJQ; 9TJK; 9TQK; TJQA; TQKA
2 to a Royal FlushJA; QA; KA
3 to a StraightJQK
4 to a Straight89JQ
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 346; 356; 457; 467; 78J; 79J; 7TJ; 89Q...
Single Cardan Ace
3 to a Straight Flush234; 235; 245; 568; 578; 679; 689; 78T; 79T
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...

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Straight: JQSingle Card: an Ace
(more)2♣ 3♣ J♣ Q♦ A♥
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♣ 4♦ 10♦ K♦
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
2 to a Straight: JKSingle Card: an Ace
(more)2♣ 3♦ J♣ K♥ A♦
2 to a Straight: QKSingle Card: an Ace
(more)2♣ 3♦ Q♣ K♥ A♦
2 to a Royal Flush: TJSingle Card: an Ace
(more)2♣ 3♦ 10♥ J♥ A♣
4 to a Straight: 9JQK2 to a Royal Flush: JK
(more)2♣ 9♦ J♣ Q♦ K♣
4 to a Straight: TJKA2 to a Royal Flush: JK
(more)2♣ 10♦ J♣ K♣ A♦
4 to a Straight: 9JQK2 to a Royal Flush: QK
(more)2♣ 9♦ J♦ Q♣ K♣
4 to a Straight: TQKA2 to a Royal Flush: QK
(more)2♣ 10♦ Q♣ K♣ A♦
3 to a Straight Flush: 78TSingle Card: an Ace
(more)2♣ 7♦ 8♦ 10♦ A♣
3 to a Straight Flush: 79TSingle Card: an Ace
(more)2♣ 7♦ 9♦ 10♦ A♣
3 to a Straight Flush: 568Single Card: an Ace
(more)2♣ 5♦ 6♦ 8♦ A♣
3 to a Straight Flush: 578Single Card: an Ace
(more)2♣ 5♦ 7♦ 8♦ A♣
3 to a Straight Flush: 679Single Card: an Ace
(more)2♣ 6♦ 7♦ 9♦ A♣
3 to a Straight Flush: 689Single Card: an Ace
(more)2♣ 6♦ 8♦ 9♦ A♣
Single Card: an Ace3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ A♣
3 to a Straight Flush: 234Single Card: an Ace
(more)2♣ 3♣ 4♣ 10♦ A♦
Single Card: an Ace3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ A♣
Single Card: an Ace3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 89Q8♣ 9♣ 10♦ Q♣ A♥
Single Card: an Ace3 to a Straight Flush: 8TQ8♣ 9♦ 10♣ Q♣ A♥
3 to a Straight Flush: 6894 to a Straight: 89JQ6♣ 8♣ 9♣ J♦ Q♥
3 to a Straight Flush: 79T4 to a Straight: 9TQK7♣ 9♣ 10♣ Q♦ K♥