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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 Flush800511,244,8440.00002638,989.6016.370.020518
Straight Flush4003,557,379,3960.0001785,603.3528.410.071386
Four of a Kind5046,063,492,3440.002311432.735.550.115544
Full House10225,385,978,5360.01130788.440.920.113070
Flush6233,898,110,6400.01173485.220.290.070404
Straight4248,829,528,1440.01248380.110.110.049933
Three of a Kind31,440,996,773,4720.07229113.830.290.216874
Two Pair12,515,128,786,4320.1261787.930.000.126178
Jacks or Better14,131,991,639,4400.2072924.820.000.207292
Nothing011,086,867,583,9520.5562001.800.550.000000
Totals19,933,230,517,2001.0000002.2552.500.991199

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800509,569,5120.00002639,117.7816.320.020451
Straight Flush4003,557,636,3400.0001785,602.9428.420.071391
Four of a Kind5046,044,070,1040.002310432.925.550.115496
Full House10225,305,488,2960.01130388.470.920.113030
Flush6233,116,023,9480.01169585.510.290.070169
Straight4252,016,433,9400.01264379.090.110.050572
Three of a Kind31,439,882,779,4400.07223513.840.290.216706
Two Pair12,513,068,672,1760.1260747.930.000.126074
Jacks or Better14,130,746,914,1680.2072294.830.000.207229
Nothing011,088,982,929,2760.5563061.800.550.000000
Totals19,933,230,517,2001.0000002.2552.450.991119

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 Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 4567...
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
4 to a Straight Flush9TJK; 9JQK
4 to a Straight Flush79TJ; 89JQ
4 to a Straight Flush679T; 789J
4 to a Straight Flush3567; 5789; 678T; 689T; 78TJ; 89TQ; 8TJQ; 9TQK
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush
3 to a Royal FlushTJQ
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
3 to a Royal FlushTJK; TQK; JQK
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 9TJ
1 PairJJ; QQ; KK; AA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Royal FlushTJA; TQA; TKA; JQA; JKA; QKA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a Straight89TJ; TJQK
3 to a Straight Flush7TJ; 8TQ
4 to a Straight9TJQ
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
2 to a Royal FlushJQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; TJQA; JQKA
2 to a Royal FlushJK; QK
4 to a Straight9JQK; TJKA; TQKA
3 to a StraightJQK
2 to a Royal FlushJA; QA; KA
2 to a Royal FlushTJ; TQ
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a StraightJQ; QK
2 to a Straight Flush9J
2 to a StraightJK; QA
2 to a StraightJA
2 to a Royal FlushTK
Single Carda Jack; a Queen
2 to a StraightKA
3 to a Flush2TA; 3TA; 4TA; 5TA
Single Carda King; an Ace
2 to a Straight Flush78; 89; 9T; 9Q
2 to a Straight Flush45; 56; 67
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
2 to a Straight Flush68; 8T
2 to a Straight Flush34; 35; 46; 57; 79
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
Single Card: a Jack2 to a Straight: JA
(more)2♣ 3♣ 4♦ J♥ A♦
2 to a Straight Flush: 9QSingle Card: a Queen
(more)2♣ 3♣ 4♦ 9♥ Q♥
2 to a Straight: KA2 to a Royal Flush: TK
(more)2♣ 3♦ 10♣ K♣ A♦
2 to a Straight: JK2 to a Straight Flush: 9J
(more)2♣ 3♦ 9♣ J♣ K♦
2 to a Royal Flush: JA4 to a Straight: TJKA
(more)2♣ 10♣ J♦ K♣ A♦
2 to a Royal Flush: QA4 to a Straight: TQKA
(more)2♣ 10♣ Q♦ K♣ A♦
2 to a Royal Flush: KA4 to a Straight: TQKA
(more)2♣ 10♣ Q♣ K♦ A♦
2 to a Royal Flush: KA4 to a Straight: TJKA
(more)2♣ 10♣ J♣ K♦ A♦
2 to a Royal Flush: JA4 to a Straight: TJQA
(more)2♣ 10♣ J♦ Q♣ A♦
2 to a Royal Flush: QA4 to a Straight: TJQA
(more)2♣ 10♣ J♣ Q♦ A♦
Garbage: Discard everything2 to a Straight Flush: 79
(more)2♣ 3♦ 6♣ 7♦ 9♦
Garbage: Discard everything2 to a Straight Flush: 8T
(more)2♣ 3♦ 7♣ 8♦ 10♦
Garbage: Discard everything2 to a Straight Flush: 34
(more)2♣ 3♦ 4♦ 7♣ 8♦
Garbage: Discard everything2 to a Straight Flush: 35
(more)2♣ 3♦ 5♦ 7♣ 8♦
Garbage: Discard everything2 to a Straight Flush: 57
(more)2♣ 3♦ 5♣ 7♣ 8♦
2 to a Straight Flush: 9J2 to a Straight: JQ
(more)2♣ 9♦ J♦ Q♣ A♥
Garbage: Discard everything2 to a Straight Flush: 46
(more)2♣ 4♦ 6♦ 7♣ 9♦
Garbage: Discard everything2 to a Straight Flush: 68
(more)2♣ 3♦ 6♣ 7♦ 8♣
3 to a Flush: 6TASingle Card: an Ace
(more)2♣ 3♣ 6♦ 10♦ A♦
3 to a Flush: 7TASingle Card: an Ace
(more)2♣ 3♣ 7♦ 10♦ A♦
3 to a Flush: 8TASingle Card: an Ace
(more)2♣ 3♣ 8♦ 10♦ A♦
3 to a Flush: 9TASingle Card: an Ace
(more)2♣ 3♣ 9♦ 10♦ A♦
4 to a Straight: 8TJQ2 to a Royal Flush: TQ
(more)2♣ 8♦ 10♣ J♦ Q♣
4 to a Straight: 9TQK2 to a Royal Flush: TQ
(more)2♣ 9♦ 10♣ Q♣ K♦
4 to a Straight: JQKA2 to a Royal Flush: JQ
(more)2♣ J♣ Q♣ K♦ A♦
2 to a Straight Flush: 684 to a Straight: 2346
(more)2♣ 3♣ 4♦ 6♥ 8♥
2 to a Straight Flush: 684 to a Straight: 2356
(more)2♣ 3♣ 5♦ 6♥ 8♥
2 to a Straight Flush: 794 to a Straight: 3467
(more)3♣ 4♣ 6♦ 7♥ 9♥
2 to a Straight Flush: 452 to a Straight Flush: 78
(more)2♣ 4♦ 5♦ 7♣ 8♣
2 to a Straight Flush: 452 to a Straight Flush: 89
(more)2♣ 4♦ 5♦ 8♣ 9♣
2 to a Straight Flush: 342 to a Straight Flush: 8T
(more)2♣ 3♦ 4♦ 8♣ 10♣
2 to a Straight Flush: 352 to a Straight Flush: 8T
(more)2♣ 3♦ 5♦ 8♣ 10♣
2 to a Straight Flush: 794 to a Straight: 3457
(more)3♣ 4♣ 5♦ 7♥ 9♥
2 to a Straight Flush: 8T4 to a Straight: 4578
(more)4♣ 5♦ 7♣ 8♥ 10♥
2 to a Straight Flush: 354 to a Straight: 5689
(more)3♣ 5♣ 6♦ 8♦ 9♥
2 to a Straight Flush: 464 to a Straight: 679T
(more)4♣ 6♣ 7♦ 9♦ 10♥
2 to a Straight Flush: 562 to a Straight Flush: 89
(more)2♣ 5♦ 6♦ 8♣ 9♣
2 to a Straight Flush: 562 to a Straight Flush: 9T
(more)2♣ 5♦ 6♦ 9♣ 10♣
2 to a Straight Flush: 342 to a Straight Flush: 79
(more)3♣ 4♣ 7♦ 8♥ 9♦
2 to a Straight Flush: 452 to a Straight Flush: 9T
(more)2♣ 4♦ 5♦ 9♣ 10♣
2 to a Straight Flush: 672 to a Straight Flush: 9T
(more)2♣ 6♦ 7♦ 9♣ 10♣
2 to a Straight Flush: 8T4 to a Straight: 4568
(more)4♣ 5♦ 6♣ 8♥ 10♥
2 to a Straight Flush: 354 to a Straight: 5789
(more)3♣ 5♣ 7♦ 8♥ 9♦
2 to a Straight Flush: 464 to a Straight: 689T
(more)4♣ 6♣ 8♦ 9♥ 10♦
2 to a Straight Flush: 342 to a Straight Flush: 683♣ 4♣ 6♦ 8♦ 9♥
2 to a Straight Flush: 352 to a Straight Flush: 683♣ 5♣ 6♦ 8♦ 10♥
2 to a Straight Flush: 352 to a Straight Flush: 793♣ 5♣ 7♦ 9♦ 10♥
2 to a Straight Flush: 462 to a Straight Flush: 8T
(more)2♣ 4♦ 6♦ 8♣ 10♣
2 to a Straight Flush: 572 to a Straight Flush: 8T
(more)2♣ 5♦ 7♦ 8♣ 10♣
4 to a Straight Flush: 34564 to a Straight Flush: A3453♣ 4♣ 5♣ 6♣ A♣
4 to a Straight Flush: 23454 to a Straight Flush: 34572♣ 3♣ 4♣ 5♣ 7♣
4 to a Straight Flush: 34564 to a Straight Flush: 45683♣ 4♣ 5♣ 6♣ 8♣
4 to a Straight Flush: 45674 to a Straight Flush: 56794♣ 5♣ 6♣ 7♣ 9♣