# 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 Flush800477,905,5920.00002441,709.5615.310.019180
Straight Flush502,167,478,6280.0001099,196.510.260.005437
Four Aces with any 2,3,44001,201,420,9080.00006016,591.389.600.024109
Four Aces with any J,Q,K3201,261,846,4880.00006315,796.876.440.020257
Four 2's, 3's, 4's with any A,2,3,41602,924,360,2920.0001476,816.273.710.023473
Four J's, Q's, K's with any J,Q,K,A1603,866,393,5680.0001945,155.514.900.031035
Four Aces1602,214,677,6640.0001119,000.512.810.017777
Four 2's, 3's, 4's807,874,359,2240.0003952,531.412.470.031603
Four 5's through K's5027,739,345,8600.001392718.593.340.069581
Full House7210,593,130,3720.01056594.650.380.073954
Flush6224,213,751,7200.01124888.900.280.067489
Straight4250,348,316,3880.01255979.620.110.050237
Three of a Kind31,509,438,225,2280.07572513.210.300.227174
Two Pair12,457,560,812,5720.1232908.110.000.123290
Jacks or Better14,236,518,487,2760.2125354.710.000.212535
Nothing010,994,830,005,4200.5515831.810.550.000000
Totals19,933,230,517,2001.0000002.2350.460.997132

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800475,400,4120.00002441,929.3515.230.019080
Straight Flush502,164,416,1680.0001099,209.520.260.005429
Four Aces with any 2,3,44001,209,061,3200.00006116,486.539.660.024262
Four Aces with any J,Q,K3201,268,704,1280.00006415,711.496.480.020367
Four 2's, 3's, 4's with any A,2,3,41602,925,791,6760.0001476,812.943.710.023485
Four J's, Q's, K's with any J,Q,K,A1603,852,906,3600.0001935,173.564.890.030926
Four Aces1602,230,468,2960.0001128,936.792.830.017904
Four 2's, 3's, 4's807,874,798,8560.0003952,531.272.470.031605
Four 5's through K's5027,744,822,1680.001392718.453.340.069594
Full House7210,643,099,8120.01056794.630.380.073972
Flush6224,045,858,2200.01124088.970.280.067439
Straight4251,481,678,3960.01261679.260.110.050465
Three of a Kind31,509,855,014,9400.07574613.200.300.227237
Two Pair12,457,217,360,9080.1232728.110.000.123272
Jacks or Better14,226,440,953,0960.2120304.720.000.212030
Nothing011,003,800,182,4440.5520331.810.550.000000
Totals19,933,230,517,2001.0000002.2350.480.997067

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
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; 88; 99; TT
3 to a Straight Flush9JQ
1 Pair55; 66; 77
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 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
Single Cardan Ace
2 to a StraightJQ; JK; QK
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...

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♥
2 to a Royal Flush: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
2 to a Straight: JQ4 to a Straight: 89JQ
(more)2♣ 8♣ 9♣ J♦ Q♥
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: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
2 to a Straight: JASingle Card: an Ace
(more)2♣ 3♦ 10♣ J♦ A♣
2 to a Straight: QASingle Card: an Ace
(more)2♣ 3♦ 10♣ Q♦ A♣
2 to a Straight: KASingle Card: an Ace
(more)2♣ 3♦ 10♣ K♦ A♣
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 8♦ 9♦ 10♣ Q♣
2 to a Royal Flush: TJSingle Card: an Ace
(more)2♣ 6♣ 10♦ J♦ A♣
Single Card: an Ace3 to a Straight Flush: 2352♣ 3♣ 5♣ 6♦ A♥
Single Card: an Ace3 to a Straight Flush: 2452♣ 4♣ 5♣ 6♦ A♥