# 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 Flush800495,430,2360.00002540,234.1815.870.019884
Straight Flush502,132,733,2880.0001079,346.330.260.005350
Four Aces803,903,635,4600.0001965,106.321.220.015667
Four 2's, 3's, 4's4010,509,856,0080.0005271,896.620.800.021090
Four 5's through K's2532,673,298,5360.001639610.080.950.040978
Full House7229,459,754,9160.01151186.870.420.080580
Flush5216,946,473,7560.01088491.880.180.054418
Straight4224,617,025,5800.01126888.740.100.045074
Three of a Kind31,483,756,110,1440.07443613.430.300.223309
Two Pair22,576,626,215,7680.1292637.740.130.258526
Jacks or Better14,291,056,995,7960.2152724.650.000.215272
Nothing010,861,052,987,7120.5448721.840.520.000000
Totals19,933,230,517,2001.0000002.2020.750.980147

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800497,439,5400.00002540,071.6615.930.019964
Straight Flush502,110,941,5760.0001069,442.810.250.005295
Four Aces803,910,380,0960.0001965,097.521.220.015694
Four 2's, 3's, 4's4010,509,497,3880.0005271,896.690.800.021089
Four 5's through K's2532,662,720,5360.001639610.270.950.040965
Full House7229,456,578,4200.01151186.870.420.080579
Flush5216,606,911,1840.01086792.020.180.054333
Straight4224,181,885,8760.01124788.920.100.044987
Three of a Kind31,483,676,406,7200.07443213.440.300.223297
Two Pair22,576,663,776,4400.1292657.740.130.258529
Jacks or Better14,292,524,773,7920.2153454.640.000.215345
Nothing010,860,429,205,6320.5448401.840.520.000000
Totals19,933,230,517,2001.0000002.2020.820.980078

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 Straight9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush8JQ; 9JQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; JQKA
3 to a Straight Flush89J; 8TJ; 9TJ; 9TQ; 9JK; 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; 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

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♥
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: 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♣
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: 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: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
2 to a Straight: JK3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ 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: 4573♣ 4♦ 5♦ 7♦ J♥
Single Card: a Jack3 to a Straight Flush: 4673♣ 4♦ 6♦ 7♦ J♥
3 to a Straight Flush: 7892 to a Royal Flush: QK7♣ 8♣ 9♣ Q♦ K♦
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♦