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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 Flush800500,982,5760.00002539,788.2716.050.016755
Straight Flush502,193,908,4960.0001109,085.720.260.004586
Four of a Kind47.2121,991,117,4960.006120163.4013.060.240720
Full House9216,065,326,3560.01083992.260.690.081296
Flush6221,176,267,3680.01109690.120.280.055479
Straight4220,797,922,6560.01107790.280.100.036923
Three of a Kind31,361,342,573,3160.06829514.640.270.170738
Two Pair22,575,344,642,1920.1291997.740.130.215331
Jacks or Better14,168,350,239,7960.2091164.780.000.174263
Nothing011,045,467,536,9480.5541231.800.550.000000
Totals19,933,230,517,2001.0000002.2431.400.996091

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800504,993,0360.00002539,472.2916.170.016889
Straight Flush502,198,405,1480.0001109,067.130.260.004595
Four of a Kind47.2122,302,677,5400.006136162.9813.100.241334
Full House9215,168,107,4400.01079492.640.690.080958
Flush6219,704,588,3160.01102290.730.280.055110
Straight4221,044,093,3680.01108990.180.100.036964
Three of a Kind31,357,372,669,4280.06809614.690.270.170240
Two Pair22,577,024,546,9840.1292837.730.130.215471
Jacks or Better14,172,745,371,6520.2093364.780.000.174447
Nothing011,045,165,064,2880.5541081.800.550.000000
Totals19,933,230,517,2001.0000002.2431.560.996010

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 Kind + 1 Kicker
(more)222A; 3332; 333A; 4442; 4443; 444A; 5552; 5553; 5554; 555A; 6662; 6663...
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 Pair + 2 Kickers
(more)332A; 443A; 5523; 554A; 6624; 665A; 7725; 7734; 776A; 8826; 8835; 887A...
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; 234J; 234Q; 234K; 2357; 2358; 235J; 235Q; 235K; 236A; 2367...
1 PairTT
4 to a Flush
(more)234T; 235T; 236T; 23TJ; 23TQ; 23TK; 245T; 247T; 24TJ; 24TQ; 24TK; 256T...
1 Pair99
4 to a Flush
(more)2349; 2359; 2389; 239T; 2469; 2489; 249T; 2569; 2589; 259T; 2689; 269T...
1 Pair66; 77; 88
4 to a Flush289T; 389T; 489T; 589T
1 Pair55
1 Pair + 1 Kicker22A; 332; 33A; 443; 44A; 552; 553; 554; 55A
1 Pair22; 33; 44
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush
(more)A23; A34; A45; 235; 345; 456; 567; 678; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ...
2 to a Royal FlushJQ
3 to a Straight Flush789
4 to a StraightJQKA
2 to a Royal FlushJA; JK; QA; QK; KA
3 to a Flush56A; 67A; 78A; 89A; 9TA
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Straight Flush
(more)A24; A25; A35; 234; 245; 246; 346; 347; 356; 457; 467; 568; 578; 679...
3 to a StraightJQK
2 to a StraightJQ; QK
2 to a Royal FlushTJ
2 to a StraightJK
Single Cardan Ace
2 to a Royal FlushTA; TQ; TK
Single Carda Jack; a Queen; a King
3 to a Flush257; 268; 279; 28T; 358; 369; 37T; 459; 46T
3 to a Straight Flush236; 256; 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)
1 Pair: 221 Pair + 1 Kicker: 22A
(more)2♣ 2♦ 3♣ 5♣ A♦
2 to a Royal Flush: TASingle Card: an Ace
(more)2♣ 3♣ 4♦ 10♥ A♥
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♣ 4♦ 10♦ K♦
Single Card: a TenGarbage: Discard everything
(more)2♣ 3♣ 5♦ 6♥ 10♠
Single Card: an Ace2 to a Straight: QK
(more)2♣ 9♣ Q♣ K♦ A♥
Single Card: an Ace2 to a Straight: JK
(more)2♣ 9♣ J♣ K♦ A♥
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
Single Card: an Ace2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ A♥
2 to a Royal Flush: TQSingle Card: an Ace
(more)2♣ 3♦ 10♥ Q♥ A♣
1 Pair + 1 Kicker: 5541 Pair: 55
(more)5♣ 5♦ 2♣ 4♣ 10♦
1 Pair + 1 Kicker: 55A1 Pair: 55
(more)5♣ 5♦ 2♣ 10♣ A♦
Single Card: a JackSingle Card: an Ace
(more)2♣ 3♦ 6♣ J♥ A♣
4 to a Straight: JQKA2 to a Royal Flush: JQ
(more)2♣ J♣ Q♣ K♦ A♦
1 Pair + 1 Kicker: 5521 Pair: 55
(more)5♦ 5♣ 2♥ 4♣ 10♣
1 Pair + 1 Kicker: 5531 Pair: 55
(more)5♦ 5♣ 3♥ 4♣ 10♣
2 to a Straight: QASingle Card: an Ace
(more)3♣ 5♦ 10♣ Q♦ A♣
2 to a Straight: KASingle Card: an Ace
(more)3♣ 5♦ 10♣ K♦ A♣
3 of a Kind + 1 Kicker: 66623 of a Kind + 1 Kicker: 6663
(more)6♣ 6♦ 6♥ 2♣ 3♣
4 to a Flush: 2TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 2♣ J♣ A♣
4 to a Flush: 3TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 3♣ J♣ A♣
4 to a Flush: 4TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 4♣ J♣ A♣
4 to a Flush: 5TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 5♣ J♣ A♣
4 to a Flush: 6TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 6♣ J♣ A♣
4 to a Flush: 7TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 7♣ J♣ A♣
4 to a Flush: 8TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 8♣ J♣ A♣
4 to a Flush: 2TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 2♣ Q♣ A♣
4 to a Flush: 3TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 3♣ Q♣ A♣
4 to a Flush: 4TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 4♣ Q♣ A♣
4 to a Flush: 5TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 5♣ Q♣ A♣
4 to a Flush: 6TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 6♣ Q♣ A♣
4 to a Flush: 7TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 7♣ Q♣ A♣
4 to a Flush: 8TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 8♣ Q♣ A♣
4 to a Flush: 2TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 2♣ K♣ A♣
4 to a Flush: 3TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 3♣ K♣ A♣
4 to a Flush: 4TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 4♣ K♣ A♣
4 to a Flush: 5TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 5♣ K♣ A♣
4 to a Flush: 6TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 6♣ K♣ A♣
4 to a Flush: 7TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 7♣ K♣ A♣
4 to a Flush: 8TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 8♣ K♣ A♣
2 to a Straight: JASingle Card: an Ace
(more)3♣ 5♦ 10♣ J♦ A♣
4 to a Flush: 9TJA3 to a Royal Flush: TJA
(more)9♣ 10♣ J♣ Q♦ A♣
4 to a Flush: 9TQA3 to a Royal Flush: TQA
(more)9♣ 10♣ J♦ Q♣ A♣
4 to a Flush: 9TKA3 to a Royal Flush: TKA
(more)9♣ 10♣ J♦ K♣ A♣
3 to a Straight Flush: 79J4 to a Straight: 9JQK7♣ 9♣ J♣ Q♦ K♥
3 to a Straight Flush: 7TJ4 to a Straight: TJQA7♣ 10♣ J♣ Q♦ A♥
3 to a Straight Flush: 7TJ4 to a Straight: TJKA7♣ 10♣ J♣ K♦ A♥
3 to a Straight Flush: 8TQ4 to a Straight: TQKA8♣ 10♣ Q♣ K♦ A♥
3 of a Kind + 1 Kicker: 44433 of a Kind + 1 Kicker: 44424♦ 4♥ 4♣ 2♠ 3♣
3 of a Kind + 1 Kicker: 444A3 of a Kind + 1 Kicker: 44424♦ 4♥ 4♣ 2♠ A♣
3 of a Kind + 1 Kicker: 66643 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ 4♣
3 of a Kind + 1 Kicker: 66653 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ 5♣
3 of a Kind + 1 Kicker: 666A3 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ A♣