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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 Flush950550,221,1800.00002836,227.6724.860.026223
Straight Flush502,217,419,7240.0001118,989.380.270.005562
Four of a Kind2546,941,502,9800.002355424.641.360.058873
Full House7228,926,357,4600.01148587.070.420.080393
Flush6221,435,663,4360.01110990.020.280.066653
Straight4226,249,682,0880.01135088.100.100.045402
Three of a Kind31,478,186,166,7200.07415713.480.300.222471
Two Pair22,569,505,329,0800.1289067.760.140.257811
Jacks or Better14,244,193,769,5000.2129214.700.000.212921
Nothing010,915,024,405,0320.5475791.830.520.000000
Totals19,933,230,517,2001.0000002.2128.250.976308

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush950548,773,8000.00002836,323.2224.800.026154
Straight Flush502,208,659,5920.0001119,025.040.270.005540
Four of a Kind2546,940,708,8560.002355424.651.360.058872
Full House7228,919,581,8640.01148487.080.420.080390
Flush6220,833,629,2080.01107990.260.280.066472
Straight4225,914,122,1280.01133488.230.100.045334
Three of a Kind31,478,133,081,1560.07415413.490.300.222463
Two Pair22,569,398,484,5720.1289007.760.140.257801
Jacks or Better14,250,581,656,5160.2132414.690.000.213241
Nothing010,909,751,819,5080.5473151.830.520.000000
Totals19,933,230,517,2001.0000002.2128.180.976267

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 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
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...
3 to a Royal FlushTJQ; JQA; JQK; JKA; QKA
1 PairJJ; QQ; KK
3 to a Royal FlushTJK; TQK
1 PairAA
3 to a Royal FlushTJA; TQA; TKA
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
3 to a Straight Flush678; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
2 to a Royal FlushJQ
3 to a Straight Flush345; 456; 567; 789
4 to a StraightJQKA
2 to a Royal FlushJA; JK; QA; QK; KA
4 to a Straight9JQK; TJQA; TJKA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a StraightTQKA
3 to a Straight Flush9TK
3 to a StraightJQK
2 to a Royal FlushTJ
2 to a StraightJQ; JK; QK
2 to a StraightJA; KA
2 to a Royal FlushTQ; TK
2 to a StraightQA
Single Carda Jack; a Queen; a King; an Ace
3 to a Straight Flush236; 246; 256; 347; 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)
2 to a Royal Flush: TASingle Card: an Ace
(more)2♣ 3♣ 4♦ 10♥ A♥
2 to a Royal Flush: TQ2 to a Straight: QK
(more)2♣ 3♣ 10♦ Q♦ K♣
2 to a Royal Flush: TK2 to a Straight: KA
(more)2♣ 3♣ 10♦ K♦ A♥
2 to a Straight: JQ2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ Q♦
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ K♦
3 to a Royal Flush: TJK1 Pair: JJ
(more)J♣ J♦ 2♣ 10♦ K♦
3 to a Royal Flush: TQK1 Pair: QQ
(more)Q♣ Q♦ 2♣ 10♦ K♦
3 to a Royal Flush: TJK1 Pair: KK
(more)K♣ K♦ 2♣ 10♦ J♦
3 to a Royal Flush: TQK1 Pair: KK
(more)K♣ K♦ 2♣ 10♦ Q♦
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 9♦ 10♣ Q♣ A♦
4 to a Straight: JQKA2 to a Royal Flush: JQ
(more)2♣ J♣ Q♣ K♦ A♦
1 Pair: JJ3 to a Royal Flush: JQA
(more)J♣ J♦ 2♣ Q♣ A♣
1 Pair: QQ3 to a Royal Flush: JQA
(more)Q♣ Q♦ 2♣ J♣ A♣
1 Pair: AA3 to a Royal Flush: JQA
(more)A♣ A♦ 2♣ J♣ Q♣
1 Pair: JJ3 to a Royal Flush: JKA
(more)J♣ J♦ 2♣ K♣ A♣
1 Pair: KK3 to a Royal Flush: JKA
(more)K♣ K♦ 2♣ J♣ A♣
1 Pair: AA3 to a Royal Flush: JKA
(more)A♣ A♦ 2♣ J♣ K♣
1 Pair: QQ3 to a Royal Flush: QKA
(more)Q♣ Q♦ 2♣ K♣ A♣
1 Pair: KK3 to a Royal Flush: QKA
(more)K♣ K♦ 2♣ Q♣ A♣
1 Pair: AA3 to a Royal Flush: QKA
(more)A♣ A♦ 2♣ Q♣ K♣
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♥