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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 Flush3,671636,166,4040.00003231,333.36429.850.117159
Straight Flush501,930,890,5640.00009710,323.340.230.004843
Four of a Kind8049,565,314,9920.002487402.1615.500.198925
Full House6163,667,134,2240.008211121.790.200.049265
Flush5223,674,953,2920.01122189.120.180.056106
Straight4243,849,829,4160.01223381.740.110.048933
Three of a Kind31,558,463,296,4760.07818412.790.300.234553
Two Pair12,175,186,358,5480.1091249.160.000.109124
Jacks or Better14,440,596,912,4600.2227744.490.000.222774
Nothing011,075,659,660,8240.5556381.800.600.000000
Totals19,933,230,517,2001.0000002.25446.971.041682

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush3,671635,199,9360.00003231,381.03429.200.116981
Straight Flush501,943,852,4840.00009810,254.500.230.004876
Four of a Kind8049,530,247,6320.002485402.4515.490.198785
Full House6163,556,142,6240.008205121.870.200.049231
Flush5223,288,813,9800.01120289.270.180.056009
Straight4244,223,290,0920.01225281.620.110.049008
Three of a Kind31,557,243,605,0880.07812312.800.300.234369
Two Pair12,173,841,730,1440.1090569.170.000.109056
Jacks or Better14,451,671,471,6440.2233294.480.000.223329
Nothing011,067,296,163,5760.5552181.800.600.000000
Totals19,933,230,517,2001.0000002.25446.311.041645

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandRoyal 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 HandFlush; Straight Flush
3 to a Royal FlushTJQ; JQK
Pat HandStraight
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 PairJJ; QQ; KK; AA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 3344; 3355; 3366; 3377...
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
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ
2 to a Royal FlushJQ; JK
2 to a Royal FlushTA; JA; QA; QK; KA
2 to a Royal FlushTQ; TK
3 to a Straight Flush689; 789; 89T; 89J; 9TJ
4 to a StraightTQKA; JQKA
4 to a Straight9TQK; 9JQK
4 to a Straight89JQ
2 to a Royal FlushTJ
3 to a StraightJQK
4 to a StraightTJQA; TJKA
4 to a Straight8TJQ; 9TJK
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 345; 456; 567; 568; 578; 678; 679; 78T...
2 to a StraightJQ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467
2 to a StraightJK; QK
2 to a StraightKA
Single Carda Jack; a Queen; a King
Single Cardan Ace
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...
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 Straight: KA
(more)2♣ 3♣ 4♦ K♥ A♦
Single Card: an Ace2 to a Straight: KA
(more)2♣ 6♣ 7♦ K♣ A♥
Single Card: an AceSingle Card: a Queen
(more)2♣ 6♣ 7♦ Q♣ A♥
2 to a Straight: QASingle Card: a Queen
(more)2♣ 3♣ 4♦ Q♣ A♦
Single Card: an AceSingle Card: a Jack
(more)6♣ 7♣ 8♦ J♣ A♥
2 to a Straight: JASingle Card: a Jack
(more)2♣ 7♦ 9♣ J♣ A♦
2 to a Royal Flush: QK2 to a Royal Flush: TA
(more)2♣ 10♦ Q♣ K♣ A♦
2 to a Royal Flush: QK2 to a Royal Flush: JA
(more)2♣ J♦ Q♣ K♣ 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: a Jack3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ J♣
Single Card: a Queen3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ Q♥
Single Card: a Queen3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ Q♥
Single Card: a Jack3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ J♥
Single Card: a Jack3 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ J♦
Single Card: an Ace3 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ A♦
Single Card: a Jack3 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ J♦
Single Card: an Ace3 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ A♦
Single Card: a Jack3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ J♦
Single Card: an Ace3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ 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♣
Single Card: a Queen3 to a Straight Flush: 2342♣ 3♣ 4♣ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 2352♣ 3♣ 5♣ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 2452♣ 4♣ 5♣ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 5684♣ 5♦ 6♦ 8♦ Q♥
Single Card: a Queen3 to a Straight Flush: 5784♣ 5♦ 7♦ 8♦ Q♥
Single Card: a Jack3 to a Straight Flush: 6795♣ 6♦ 7♦ 9♦ J♥
Single Card: a Jack3 to a Straight Flush: 6895♣ 6♦ 8♦ 9♦ J♥
Pat Hand: Straight3 to a Royal Flush: TJQ
(more)8♣ 9♦ 10♦ J♦ Q♦
3 to a Straight Flush: 79T4 to a Straight: 9TQK7♣ 9♣ 10♣ Q♦ K♥
2 to a Royal Flush: QA2 to a Royal Flush: JK9♣ J♣ Q♦ K♣ A♦