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Video Poker Strategy Calculator

简介

The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):

Perfect Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush1,601387,788,5320.00001951,402.3249.680.031146
Straight Flush1012,114,752,3800.0001069,425.801.020.010715
Four of a Kind16146,393,949,0640.002327429.6558.150.374722
Full House25225,442,482,6960.01131088.425.500.282747
Flush20288,400,516,3680.01446869.124.210.289367
Straight14296,184,014,3520.01485967.301.820.208023
Three of a Kind91,440,031,496,3040.07224313.842.650.650185
Two Pair42,491,179,876,2880.1249768.000.140.499905
Jacks or Better33,929,726,522,0520.1971445.070.000.591433
Nothing011,213,369,119,1640.5625471.784.860.000000
Totals19,933,230,517,2001.0000002.29128.042.938244

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush1,601388,082,6520.00001951,363.3649.720.031170
Straight Flush1012,111,983,0080.0001069,438.161.020.010701
Four of a Kind16146,394,819,0400.002328429.6458.150.374729
Full House25225,457,557,1200.01131188.415.510.282766
Flush20287,850,007,3200.01444169.254.200.288814
Straight14295,921,670,1480.01484667.361.820.207839
Three of a Kind91,440,172,341,0840.07225013.842.650.650248
Two Pair42,491,544,992,2120.1249958.000.140.499978
Jacks or Better33,933,307,273,6080.1973245.070.000.591972
Nothing011,210,081,791,0080.5623821.784.860.000000
Totals19,933,230,517,2001.0000002.29128.072.938219

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
Pat HandFull House; 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
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
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; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 9TJ; 9TQ; 9JQ
4 to a StraightJQKA
3 to a Straight Flush8JQ; 9JK; 9QK
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Flush
(more)2JA; 2JK; 2QA; 2QK; 2KA; 3JA; 3JK; 3QA; 3QK; 3KA; 4JA; 4JK; 4QA; 4QK...
2 to a Royal FlushJA; JQ; JK; QA; QK; KA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a StraightA234; A235; A245; A345; 89JQ; 8TJQ; 9TJK
3 to a Straight Flush78T; 79T
4 to a Straight9TQK
3 to a StraightTJQ; JQK
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ
4 to a Straight789J; 78TJ; 79TJ; 89TQ
3 to a Flush
(more)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26J; 26Q; 26K; 27J; 27Q...
2 to a Royal FlushTQ
3 to a Flush26A; 27A; 36A; 37A; 46A; 47A; 56A; 57A; 67A
2 to a StraightJA; QA; KA
Single Carda Jack; a Queen
Single Cardan Ace
2 to a Royal FlushTK
Single Carda King
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...
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...
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: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
Single Card: a Jack2 to a Straight: JA
(more)2♣ 3♣ 6♣ J♦ A♥
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 9♣ 10♦ Q♦ A♥
4 to a Straight: 79TJ2 to a Royal Flush: TJ
(more)2♣ 7♦ 9♦ 10♣ J♣
3 to a Flush: 2TJ2 to a Royal Flush: TJ
(more)2♣ 3♦ 9♦ 10♣ J♣
3 to a Flush: 3TJ2 to a Royal Flush: TJ
(more)2♣ 3♦ 9♣ 10♦ J♦
3 to a Flush: 4TJ2 to a Royal Flush: TJ
(more)2♣ 4♦ 9♣ 10♦ J♦
3 to a Flush: 5TJ2 to a Royal Flush: TJ
(more)2♣ 5♦ 9♣ 10♦ J♦
3 to a Flush: 6TJ2 to a Royal Flush: TJ
(more)2♣ 6♦ 9♣ 10♦ J♦
4 to a Straight: 78TJ2 to a Royal Flush: TJ
(more)2♣ 7♦ 8♦ 10♣ J♣
3 to a Straight Flush: 67TSingle Card: a King
(more)2♣ 6♦ 7♦ 10♦ K♣
3 to a Straight Flush: 68TSingle Card: a King
(more)2♣ 6♦ 8♦ 10♦ K♣
3 to a Straight Flush: 69TSingle Card: a King
(more)2♣ 6♦ 9♦ 10♦ K♣
3 to a Straight Flush: 67TSingle Card: an Ace
(more)2♣ 6♦ 7♦ 10♦ A♣
3 to a Straight Flush: 68TSingle Card: an Ace
(more)2♣ 6♦ 8♦ 10♦ A♣
3 to a Straight Flush: 69TSingle Card: an Ace
(more)2♣ 6♦ 9♦ 10♦ A♣
3 to a Straight Flush: 236Single Card: an Ace2♣ 3♣ 6♣ 10♦ A♦
3 to a Straight Flush: 246Single Card: an Ace2♣ 4♣ 6♣ 10♦ A♦
3 to a Straight Flush: 256Single Card: an Ace2♣ 5♣ 6♣ 10♦ A♦
3 to a Straight Flush: 347Single Card: an Ace3♣ 4♣ 7♣ 10♦ A♦
3 to a Straight Flush: 357Single Card: an Ace3♣ 5♣ 7♣ 10♦ A♦
3 to a Straight Flush: 367Single Card: an Ace3♣ 6♣ 7♣ 10♦ A♦
3 to a Straight Flush: 458Single Card: an Ace4♣ 5♣ 8♣ 10♦ A♦
3 to a Straight Flush: 468Single Card: an Ace4♣ 6♣ 8♣ 10♦ A♦
3 to a Straight Flush: 478Single Card: an Ace4♣ 7♣ 8♣ 10♦ A♦
3 to a Straight Flush: 569Single Card: an Ace5♣ 6♣ 9♣ 10♦ A♦
3 to a Straight Flush: 579Single Card: an Ace5♣ 7♣ 9♣ 10♦ A♦
3 to a Straight Flush: 589Single Card: an Ace5♣ 8♣ 9♣ 10♦ A♦
3 to a Straight Flush: 5692 to a Royal Flush: TK5♣ 6♣ 9♣ 10♦ K♦
3 to a Straight Flush: 5792 to a Royal Flush: TK5♣ 7♣ 9♣ 10♦ K♦
3 to a Straight Flush: 5892 to a Royal Flush: TK5♣ 8♣ 9♣ 10♦ K♦