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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 Flush800496,224,8760.00002540,169.7515.890.019915
Straight Flush502,146,096,6560.0001089,288.130.260.005383
Four of a Kind2547,100,003,7320.002363423.211.360.059072
Full House8229,504,776,9480.01151486.850.570.092109
Flush5217,303,355,8680.01090291.730.180.054508
Straight4223,952,329,8600.01123589.010.100.044940
Three of a Kind31,484,283,075,6600.07446313.430.310.223388
Two Pair22,577,335,006,2680.1292987.730.140.258597
Jacks or Better14,287,052,708,3440.2150714.650.000.215071
Nothing010,864,056,938,9880.5450221.830.520.000000
Totals19,933,230,517,2001.0000002.2019.320.972984

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800497,366,2680.00002540,077.5715.930.019961
Straight Flush502,146,632,2640.0001089,285.820.260.005385
Four of a Kind2547,092,706,4600.002363423.281.360.059063
Full House8229,482,476,4600.01151386.860.570.092100
Flush5217,341,810,7680.01090391.710.180.054517
Straight4224,021,431,5480.01123988.980.100.044954
Three of a Kind31,484,034,480,7920.07445013.430.310.223351
Two Pair22,577,070,841,6160.1292857.730.140.258570
Jacks or Better14,286,974,868,7120.2150674.650.000.215067
Nothing010,864,567,902,3120.5450481.830.520.000000
Totals19,933,230,517,2001.0000002.2019.360.972969

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
2 to a Royal FlushTJ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 679; 78T; 79T
2 to a StraightJA; QK
2 to a StraightQA; KA
2 to a Royal FlushTQ; TK
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)
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 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: 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♥
Single Card: a Jack3 to a Straight Flush: 2342♣ 3♣ 4♣ 6♦ J♥
Single Card: an Ace3 to a Straight Flush: 2342♣ 3♣ 4♣ 6♦ A♥
Single Card: a Jack3 to a Straight Flush: 2352♣ 3♣ 5♣ 6♦ J♥
Single Card: an Ace3 to a Straight Flush: 2352♣ 3♣ 5♣ 6♦ A♥
Single Card: a Jack3 to a Straight Flush: 2452♣ 4♣ 5♣ 6♦ J♥
Single Card: an Ace3 to a Straight Flush: 2452♣ 4♣ 5♣ 6♦ A♥
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♥
Single Card: a Jack3 to a Straight Flush: 5684♣ 5♦ 6♦ 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♦