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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 Flush800516,082,3680.00002638,624.1316.530.020712
Straight Flush1002,385,455,0880.0001208,356.151.170.011967
Four Aces2404,688,341,4280.0002354,251.6613.440.056449
Four 2's, 3's, 4's12010,799,220,5520.0005421,845.807.680.065012
Four 5's through K's5032,468,374,8120.001629613.933.910.081443
Full House7210,184,549,7040.01054494.840.380.073811
Flush5220,756,907,2440.01107590.290.180.055374
Straight4252,967,472,0160.01269178.800.120.050763
Three of a Kind31,505,624,824,2360.07553313.240.310.226600
Two Pair12,452,955,887,1880.1230598.130.000.123059
Jacks or Better14,216,606,691,7600.2115374.730.000.211537
Nothing011,023,276,710,8040.5530101.810.530.000000
Totals19,933,230,517,2001.0000002.2444.240.976727

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800516,471,4320.00002638,595.0316.540.020728
Straight Flush1002,364,262,9680.0001198,431.051.160.011861
Four Aces2404,685,176,8000.0002354,254.5313.430.056410
Four 2's, 3's, 4's12010,798,748,4120.0005421,845.887.670.065010
Four 5's through K's5032,461,283,9400.001629614.063.910.081425
Full House7210,130,911,5040.01054294.860.380.073792
Flush5220,280,732,6400.01105190.490.180.055255
Straight4256,718,451,4560.01287977.650.120.051516
Three of a Kind31,504,808,604,0840.07549213.250.310.226477
Two Pair12,451,215,250,9720.1229718.130.000.122971
Jacks or Better14,211,295,567,2280.2112704.730.000.211270
Nothing011,027,955,055,7640.5532451.810.530.000000
Totals19,933,230,517,2001.0000002.2444.240.976715

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFour 2's, 3's, 4's; Four Aces; Straight Flush; Royal Flush
4 of a Kind5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind222; 333; 444; AAA
Pat HandFull House
4 to a Straight Flush2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
Pat HandStraight; Flush
4 to a Straight Flush
(more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578...
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal FlushTJQ; JQK
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
1 Pair22; 33; 44
4 to a Straight9TJQ; TJQK
3 to a Straight Flush9TJ; 9JQ
4 to a Straight89TJ
1 Pair55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T
3 to a Straight Flush345; 456; 567; 678; 789; 79T; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
4 to a StraightJQKA
2 to a Royal FlushJQ; JK
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T
2 to a Royal FlushQK
4 to a Straight9JQK; TJQA; TJKA; TQKA
2 to a Royal FlushJA; QA; KA
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
3 to a StraightJQK
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a StraightJQ
Single Cardan Ace
2 to a Royal FlushTJ
2 to a StraightJK; QK
2 to a Royal FlushTQ; TK
Single Carda Jack; a Queen; a 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...
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♦
Single Card: an Ace2 to a Straight: JQ
(more)2♣ 9♣ J♣ Q♦ A♥
2 to a Royal Flush: TJSingle Card: an Ace
(more)2♣ 3♣ 10♦ J♦ A♥
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♦
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 7♦ 10♣ J♣ K♦
4 to a Straight: 9JQK2 to a Royal Flush: JK
(more)2♣ 9♦ J♣ Q♦ K♣
4 to a Straight: TJKA2 to a Royal Flush: JK
(more)2♣ 10♦ J♣ K♣ A♦
4 to a Straight: 9JQK2 to a Royal Flush: QK
(more)2♣ 9♦ J♦ Q♣ K♣
4 to a Straight: TQKA2 to a Royal Flush: QK
(more)2♣ 10♦ Q♣ K♣ A♦
3 to a Straight Flush: 2342 to a Royal Flush: JK2♣ 3♣ 4♣ J♦ K♦
3 to a Straight Flush: 2352 to a Royal Flush: JK2♣ 3♣ 5♣ J♦ K♦
3 to a Straight Flush: 2452 to a Royal Flush: JK2♣ 4♣ 5♣ J♦ K♦
3 to a Straight Flush: 3462 to a Royal Flush: JK3♣ 4♣ 6♣ J♦ K♦
3 to a Straight Flush: 3562 to a Royal Flush: JK3♣ 5♣ 6♣ J♦ K♦
3 to a Straight Flush: 4572 to a Royal Flush: JK4♣ 5♣ 7♣ J♦ K♦
3 to a Straight Flush: 4672 to a Royal Flush: JK4♣ 6♣ 7♣ J♦ K♦
3 to a Straight Flush: 5682 to a Royal Flush: JK5♣ 6♣ 8♣ J♦ K♦
3 to a Straight Flush: 5782 to a Royal Flush: JK5♣ 7♣ 8♣ J♦ K♦
3 to a Straight Flush: 6792 to a Royal Flush: JK6♣ 7♣ 9♣ J♦ K♦
3 to a Straight Flush: 6892 to a Royal Flush: JK6♣ 8♣ 9♣ J♦ K♦