# 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 Flush800495,443,1360.00002540,233.1315.870.019884
Straight Flush502,129,604,2640.0001079,360.060.260.005342
Four Aces803,903,775,8120.0001965,106.141.220.015667
Four 2's, 3's, 4's4010,509,866,3280.0005271,896.620.800.021090
Four 5's through K's2532,688,417,3360.001640609.790.950.040997
Full House8229,516,869,9240.01151486.850.570.092114
Flush5216,873,645,0000.01088091.910.170.054400
Straight4223,676,319,9120.01122189.120.100.044885
Three of a Kind31,484,391,167,8560.07446813.430.300.223405
Two Pair22,577,523,603,7520.1293087.730.130.258616
Jacks or Better14,290,810,981,4440.2152594.650.000.215259
Nothing010,860,710,822,4360.5448551.840.540.000000
Totals19,933,230,517,2001.0000002.2020.900.991660

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800492,246,0000.00002540,494.4515.770.019756
Straight Flush502,105,748,0360.0001069,466.100.250.005282
Four Aces803,910,852,2360.0001965,096.901.220.015696
Four 2's, 3's, 4's4010,510,364,2680.0005271,896.530.800.021091
Four 5's through K's2532,690,360,0760.001640609.760.950.041000
Full House8229,553,390,3400.01151686.830.570.092129
Flush5216,000,342,8640.01083692.280.170.054181
Straight4222,819,869,8200.01117889.460.100.044713
Three of a Kind31,484,764,091,8920.07448713.430.300.223461
Two Pair22,578,014,246,9960.1293327.730.130.258665
Jacks or Better14,297,957,998,3720.2156184.640.000.215618
Nothing010,854,411,006,3000.5445381.840.540.000000
Totals19,933,230,517,2001.0000002.2020.800.991591

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Straight Flush; Royal Flush
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; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush
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 PairJJ; QQ; KK; AA
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 StraightTJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 to a Straight Flush89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ
4 to a StraightJQKA
3 to a Straight Flush9JK; 9QK
2 to a Royal FlushJA; JQ; JK; QK
3 to a Straight Flush456; 567; 678; 789; 89T
2 to a Royal FlushQA; KA
3 to a Straight Flush345
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a StraightJQK
2 to a StraightJQ
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 568; 578; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a StraightJK; QA
2 to a StraightKA
2 to a Royal FlushTJ
2 to a StraightJA
Single Cardan Ace
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 679; 78T; 79T
2 to a StraightQK
2 to a Royal FlushTQ
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

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Straight: QK2 to a Straight: QA
(more)2♣ 3♣ Q♣ K♦ A♥
2 to a Royal Flush: TKSingle Card: a King
(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: JA2 to a Royal Flush: TJ
(more)2♣ 7♦ 10♣ J♣ A♦
3 to a Straight Flush: 7TJ2 to a Straight: JQ
(more)2♣ 7♦ 10♦ J♦ Q♣
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: 346Single Card: an Ace
(more)2♣ 3♦ 4♦ 6♦ A♣
3 to a Straight Flush: 356Single Card: an Ace
(more)2♣ 3♦ 5♦ 6♦ A♣
3 to a Straight Flush: 457Single Card: an Ace
(more)2♣ 4♦ 5♦ 7♦ A♣
3 to a Straight Flush: 467Single Card: an Ace
(more)2♣ 4♦ 6♦ 7♦ A♣
3 to a Straight Flush: 679Single Card: an Ace
(more)2♣ 6♦ 7♦ 9♦ A♣
2 to a Straight: JK3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
3 to a Straight Flush: 234Single Card: an Ace
(more)2♣ 3♣ 4♣ 7♦ A♦
3 to a Straight Flush: 235Single Card: an Ace
(more)2♣ 3♣ 5♣ 7♦ A♦
3 to a Straight Flush: 245Single Card: an Ace
(more)2♣ 4♣ 5♣ 7♦ A♦
Single Card: a Jack3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ J♥
Single Card: a Jack3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ J♥
Single Card: a Jack3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ J♥
Single Card: a Jack3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ J♥
Single Card: an Ace3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ A♥
Single Card: an Ace3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ A♥
Single Card: an Ace3 to a Straight Flush: 689
(more)5♣ 6♦ 8♦ 9♦ A♥
Single Card: a Jack3 to a Straight Flush: 78T
(more)6♣ 7♦ 8♦ 10♦ J♣
Single Card: a Jack3 to a Straight Flush: 79T
(more)6♣ 7♦ 9♦ 10♦ J♣
2 to a Straight: JK3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ K♦
2 to a Straight: JK3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ K♦
3 to a Straight Flush: 78J2 to a Straight: JQ7♣ 8♣ J♣ Q♦ A♥
3 to a Straight Flush: 79J2 to a Straight: JQ7♣ 9♣ J♣ Q♦ A♥
3 to a Straight Flush: 2342 to a Straight: JK2♣ 3♣ 4♣ J♦ K♥
3 to a Straight Flush: 2352 to a Straight: JK2♣ 3♣ 5♣ J♦ K♥
3 to a Straight Flush: 2452 to a Straight: JK2♣ 4♣ 5♣ J♦ K♥
3 to a Straight Flush: 3462 to a Straight: JK3♣ 4♣ 6♣ J♦ K♥
3 to a Straight Flush: 3562 to a Straight: JK3♣ 5♣ 6♣ J♦ K♥
3 to a Straight Flush: 4572 to a Straight: JK4♣ 5♣ 7♣ J♦ K♥
3 to a Straight Flush: 4672 to a Straight: JK4♣ 6♣ 7♣ J♦ K♥
3 to a Straight Flush: 6792 to a Straight: JK6♣ 7♣ 9♣ J♦ K♥
3 to a Straight Flush: 3462 to a Straight: JA3♣ 4♣ 6♣ J♦ A♥
3 to a Straight Flush: 3562 to a Straight: JA3♣ 5♣ 6♣ J♦ A♥
3 to a Straight Flush: 4572 to a Straight: JA4♣ 5♣ 7♣ J♦ A♥
3 to a Straight Flush: 4672 to a Straight: JA4♣ 6♣ 7♣ J♦ A♥
3 to a Straight Flush: 6792 to a Straight: JA6♣ 7♣ 9♣ J♦ A♥
3 to a Straight Flush: 78T2 to a Straight: JA7♣ 8♣ 10♣ J♦ A♥
3 to a Straight Flush: 79T2 to a Straight: JA7♣ 9♣ 10♣ J♦ A♥
3 to a Straight Flush: 3462 to a Straight: QA3♣ 4♣ 6♣ Q♦ A♥
3 to a Straight Flush: 3562 to a Straight: QA3♣ 5♣ 6♣ Q♦ A♥
3 to a Straight Flush: 4572 to a Straight: QA4♣ 5♣ 7♣ Q♦ A♥
3 to a Straight Flush: 4672 to a Straight: QA4♣ 6♣ 7♣ Q♦ A♥
3 to a Straight Flush: 6792 to a Straight: QA6♣ 7♣ 9♣ Q♦ A♥
3 to a Straight Flush: 78T2 to a Straight: QA7♣ 8♣ 10♣ Q♦ A♥
3 to a Straight Flush: 79T2 to a Straight: QA7♣ 9♣ 10♣ Q♦ A♥
3 to a Straight Flush: 3462 to a Straight: KA3♣ 4♣ 6♣ K♦ A♥
3 to a Straight Flush: 3562 to a Straight: KA3♣ 5♣ 6♣ K♦ A♥
3 to a Straight Flush: 4572 to a Straight: KA4♣ 5♣ 7♣ K♦ A♥
3 to a Straight Flush: 4672 to a Straight: KA4♣ 6♣ 7♣ K♦ A♥
3 to a Straight Flush: 6792 to a Straight: KA6♣ 7♣ 9♣ K♦ A♥
3 to a Straight Flush: 78T2 to a Straight: KA7♣ 8♣ 10♣ K♦ A♥
3 to a Straight Flush: 79T2 to a Straight: KA7♣ 9♣ 10♣ K♦ A♥
Single Card: a Jack3 to a Straight Flush: 2342♣ 3♣ 4♣ 6♦ J♥
Single Card: a Jack3 to a Straight Flush: 2352♣ 3♣ 5♣ 6♦ J♥
Single Card: a Jack3 to a Straight Flush: 2452♣ 4♣ 5♣ 6♦ J♥
Single Card: a Jack3 to a Straight Flush: 5684♣ 5♦ 6♦ 8♦ J♥
Single Card: a Jack3 to a Straight Flush: 5784♣ 5♦ 7♦ 8♦ J♥
3 to a Straight Flush: 4562 to a Royal Flush: JA4♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: JA5♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: JA6♣ 7♣ 8♣ J♦ A♦