# 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 Flush800510,712,3560.00002639,030.2516.360.020497
Straight Flush802,257,054,1640.0001138,831.530.710.009058
Four Aces2404,691,037,5280.0002354,249.2213.440.056481
Four 2's, 3's, 4's12010,517,376,1920.0005281,895.277.470.063316
Four 5's through K's5032,494,516,9200.001630613.433.910.081508
Full House9216,509,451,6960.01086292.070.700.097756
Flush5221,206,408,2600.01109790.110.180.055487
Straight4253,645,957,3200.01272578.590.110.050899
Three of a Kind31,500,742,999,3200.07528813.280.300.225865
Two Pair12,454,199,647,9120.1231218.120.000.123121
Jacks or Better14,220,418,243,9240.2117284.720.000.211728
Nothing011,016,037,111,6080.5526471.810.550.000000
Totals19,933,230,517,2001.0000002.2443.730.995716

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800507,321,7200.00002539,291.1016.250.020361
Straight Flush802,260,868,9520.0001138,816.620.710.009074
Four Aces2404,685,398,1640.0002354,254.3313.430.056413
Four 2's, 3's, 4's12010,516,764,7320.0005281,895.387.470.063312
Four 5's through K's5032,498,189,2920.001630613.363.920.081518
Full House9216,486,152,7480.01086192.080.700.097745
Flush5220,977,932,7480.01108690.200.180.055430
Straight4256,436,967,2640.01286577.730.120.051459
Three of a Kind31,500,312,332,3040.07526713.290.300.225801
Two Pair12,453,077,824,6960.1230658.130.000.123065
Jacks or Better14,216,181,836,9680.2115154.730.000.211515
Nothing011,019,288,927,6120.5528101.810.550.000000
Totals19,933,230,517,2001.0000002.2443.610.995692

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFour 2's, 3's, 4's; Four Aces; Straight Flush; Royal Flush
4 of a Kind5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a KindAAA
Pat HandFlush; Full House
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
4 to a Straight Flush2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
Pat HandStraight
4 to a Straight Flush
(more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578...
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal FlushTJQ
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; 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; 77; 88
3 to a Straight Flush9TJ
1 Pair55; 66; 99; TT
3 to a Straight Flush8TJ; 8JQ; 9JQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; JQKA
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 9TQ; 9JK; 9QK
2 to a Royal FlushJQ; JK; QK
4 to a Straight9JQK; TJQA; TJKA; TQKA
2 to a Royal FlushJA; QA; KA
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 StraightJQ
Single Cardan Ace
2 to a Royal FlushTJ
2 to a StraightJK; QK
2 to a Royal FlushTQ; 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)
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♣ 4♦ 10♦ K♦
Single Card: an Ace2 to a Straight: JQ
(more)6♣ 8♣ J♣ Q♦ A♥
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
2 to a Royal Flush: JA4 to a Straight: TJKA
(more)2♣ 10♣ J♦ K♣ A♦
2 to a Royal Flush: QA4 to a Straight: TQKA
(more)2♣ 10♣ Q♦ K♣ A♦
2 to a Royal Flush: KA4 to a Straight: TQKA
(more)2♣ 10♣ Q♣ K♦ A♦
2 to a Royal Flush: KA4 to a Straight: TJKA
(more)2♣ 10♣ J♣ K♦ A♦
2 to a Royal Flush: JA4 to a Straight: TJQA
(more)2♣ 10♣ J♦ Q♣ A♦
2 to a Royal Flush: QA4 to a Straight: TJQA
(more)2♣ 10♣ J♣ Q♦ 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 Royal Flush: JQK1 Pair: JJ
(more)J♣ J♦ 2♣ Q♦ K♦
3 to a Royal Flush: JQK1 Pair: QQ
(more)Q♣ Q♦ 2♣ J♦ K♦
3 to a Royal Flush: JQK1 Pair: KK
(more)K♣ K♦ 2♣ J♦ Q♦
1 Pair: 993 to a Straight Flush: 9TJ
(more)9♣ 9♦ 7♣ 10♦ J♦
1 Pair: TT3 to a Straight Flush: 9TJ
(more)10♣ 10♦ 7♣ 9♦ J♦
1 Pair: JJ3 to a Royal Flush: TJQ
(more)J♣ J♦ 2♣ 10♣ Q♣
1 Pair: QQ3 to a Royal Flush: TJQ
(more)Q♣ Q♦ 2♣ 10♣ J♣