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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 Flush800496,236,2280.00002540,168.8315.890.019916
Straight Flush502,144,087,3520.0001089,296.840.260.005378
Four of a Kind3047,100,310,2360.002363423.211.990.070887
Full House8229,506,513,8040.01151486.850.570.092110
Flush5217,262,698,6800.01090091.750.180.054498
Straight4223,931,918,9640.01123489.010.100.044936
Three of a Kind31,484,298,758,4480.07446413.430.300.223391
Two Pair22,577,361,825,3680.1293007.730.130.258600
Jacks or Better14,287,306,033,9000.2150834.650.000.215083
Nothing010,863,822,134,2200.5450111.830.530.000000
Totals19,933,230,517,2001.0000002.2019.950.984799

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800492,178,4040.00002540,500.0115.760.019753
Straight Flush502,140,944,9120.0001079,310.480.260.005370
Four of a Kind3047,106,904,7160.002363423.151.990.070897
Full House8229,525,275,5640.01151586.850.570.092118
Flush5216,725,173,2240.01087391.970.180.054363
Straight4223,563,068,7480.01121689.160.100.044862
Three of a Kind31,484,514,300,4200.07447413.430.300.223423
Two Pair22,577,573,215,6040.1293107.730.130.258621
Jacks or Better14,293,158,483,1960.2153774.640.000.215377
Nothing010,858,430,972,4120.5447401.840.530.000000
Totals19,933,230,517,2001.0000002.2019.820.984784

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Four of a Kind; Straight Flush; Royal Flush
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; 578; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a StraightJK
2 to a Royal FlushTJ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 568; 679; 78T; 79T
2 to a StraightJA; QK
2 to a StraightQA; KA
2 to a Royal FlushTQ
Single Carda Jack; a Queen; a King; an Ace
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
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 Royal Flush: TQ2 to a Straight: QA
(more)2♣ 3♣ 10♦ Q♦ A♥
2 to a Straight: JA2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ A♦
3 to a Straight Flush: 7TJ2 to a Straight: JQ
(more)2♣ 7♦ 10♦ J♦ Q♣
2 to a Straight: JK3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
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: a Jack3 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ J♦
Single Card: a Jack3 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ J♦
Single Card: a Jack3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ J♦
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: 5682 to a Straight: JK5♣ 6♣ 8♣ J♦ K♥
3 to a Straight Flush: 6792 to a Straight: JK6♣ 7♣ 9♣ J♦ K♥
Single Card: an Ace3 to a Straight Flush: 2342♣ 3♣ 4♣ 6♦ 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♥
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♦