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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 Flush400.491401,411,4480.00002049,657.853.210.008065
Straight Flush25.4912,087,399,2200.0001059,549.310.060.002669
Four Aces with any 2,3,4200.4911,047,516,0600.00005319,029.052.090.010536
Four 2's, 3's, 4's with any A,2,3,480.4912,833,302,9960.0001427,035.330.900.011441
Four Aces80.4912,925,386,7240.0001476,813.880.930.011813
Four 2's, 3's, 4's40.4917,619,829,1320.0003822,615.970.600.015478
Four 5's through K's25.49132,256,263,2080.001618617.960.970.041250
Full House7.449226,933,002,3600.01138587.840.480.084804
Flush4.9575253,714,681,0920.01272878.570.200.063100
Straight3.966303,376,538,8680.01522065.700.140.060361
Three of a Kind2.4831,453,315,452,4200.07290913.720.160.181033
Two Pair1.23732,512,000,706,9400.1260217.940.010.155925
Jacks or Better0.99154,006,300,250,7360.2009864.980.000.199278
Nothing0.245711,128,418,775,9960.5582851.790.300.137171
Totals19,933,230,517,2001.0000001.0010.050.982925

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush400.491406,158,1320.00002049,077.513.250.008160
Straight Flush25.4912,094,966,8760.0001059,514.820.060.002679
Four Aces with any 2,3,4200.4911,079,308,8840.00005418,468.512.160.010856
Four 2's, 3's, 4's with any A,2,3,480.4912,838,643,5960.0001427,022.100.900.011463
Four Aces80.4912,990,223,6720.0001506,666.130.950.012075
Four 2's, 3's, 4's40.4917,620,130,9920.0003822,615.860.600.015479
Four 5's through K's25.49132,255,016,5520.001618617.990.970.041248
Full House7.449227,285,324,0640.01140287.700.480.084936
Flush4.9575252,351,125,2920.01266078.990.200.062761
Straight3.966302,176,731,0240.01515965.970.130.060122
Three of a Kind2.4831,457,104,635,9840.07309913.680.160.181505
Two Pair1.23732,516,700,569,6160.1262577.920.010.156217
Jacks or Better0.99153,979,176,089,4720.1996255.010.000.197928
Nothing0.245711,149,151,593,0440.5593251.790.300.137426
Totals19,933,230,517,2001.0000001.0010.180.982856

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Full House; Four 2's, 3's, 4's with any A,2,3,4; Four Aces with an...
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
Pat HandStraight; Flush
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
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; 9TJ; 9JQ
4 to a StraightJQKA
3 to a Straight Flush8JQ; 9JK; 9QK
4 to a Straight9JQK; TJQA; TQKA
3 to a Straight Flush89J; 8TJ; 9TQ
4 to a StraightTJKA
2 to a Royal FlushJQ; JK; QK
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a Flush
(more)2JA; 2JK; 2QA; 2QK; 2KA; 3JA; 3JK; 3QA; 3QK; 3KA; 4JA; 4JK; 4QA; 4QK...
2 to a Royal FlushJA; QA; KA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a StraightTJQ; JQK
4 to a StraightA234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ
Single Cardan Ace
3 to a Flush
(more)23K; 24K; 25K; 26K; 27K; 28K; 29Q; 29K; 2TK; 34K; 35K; 36K; 37K; 38K...
2 to a Royal FlushTQ; TK
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 256
4 to a Straight4578; 5679; 5689; 5789; 678T; 679T; 689T
3 to a Straight Flush569; 579; 589; 67T; 68T; 69T
4 to a Straight2356; 2456; 3457; 3467; 3567; 4568
3 to a Straight Flush246; 357; 458
4 to a Straight4678
3 to a Straight Flush347; 367; 468; 478
4 to a Straight2346
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 Straight: KASingle Card: an Ace
(more)2♣ 3♣ 6♦ K♣ A♦
2 to a Straight: QASingle Card: an Ace
(more)2♣ 3♣ 6♦ Q♣ A♦
2 to a Straight: JASingle Card: an Ace
(more)2♣ 3♣ 6♦ J♣ A♦
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
Single Card: an Ace2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ A♥
3 to a Flush: 28QSingle Card: a Queen
(more)2♣ 3♦ 8♣ 9♦ Q♣
3 to a Flush: 38QSingle Card: a Queen
(more)2♣ 3♦ 8♦ 9♣ Q♦
3 to a Flush: 48QSingle Card: a Queen
(more)2♣ 4♦ 8♦ 9♣ Q♦
3 to a Flush: 58QSingle Card: a Queen
(more)2♣ 5♦ 8♦ 9♣ Q♦
Single Card: a Queen3 to a Flush: 29Q
(more)2♣ 3♦ 4♦ 9♣ Q♣
Single Card: a Queen3 to a Flush: 39Q
(more)2♣ 3♦ 4♣ 9♦ Q♦
Single Card: a Queen3 to a Flush: 49Q
(more)2♣ 3♣ 4♦ 9♦ Q♦
Single Card: a Queen3 to a Flush: 59Q
(more)2♣ 3♣ 5♦ 9♦ Q♦
Single Card: a Queen3 to a Flush: 69Q
(more)2♣ 3♣ 6♦ 9♦ Q♦
Single Card: a Queen3 to a Flush: 79Q
(more)2♣ 3♣ 7♦ 9♦ Q♦
3 to a Flush: 68QSingle Card: a Queen
(more)2♣ 6♦ 8♦ 9♣ Q♦
3 to a Flush: 78QSingle Card: a Queen
(more)2♣ 7♦ 8♦ 9♣ Q♦
3 to a Flush: 23QSingle Card: a Queen
(more)2♣ 3♣ 8♦ 9♦ Q♣
3 to a Flush: 24QSingle Card: a Queen
(more)2♣ 4♣ 8♦ 9♦ Q♣
3 to a Flush: 34QSingle Card: a Queen
(more)3♣ 4♣ 8♦ 9♦ Q♣
3 to a Flush: 2JK2 to a Royal Flush: JK
(more)2♣ 3♦ J♣ Q♦ K♣
3 to a Flush: 3JK2 to a Royal Flush: JK
(more)2♣ 3♦ J♦ Q♣ K♦
3 to a Flush: 4JK2 to a Royal Flush: JK
(more)2♣ 4♦ J♦ Q♣ K♦
3 to a Flush: 5JK2 to a Royal Flush: JK
(more)2♣ 5♦ J♦ Q♣ K♦
3 to a Flush: 6JK2 to a Royal Flush: JK
(more)2♣ 6♦ J♦ Q♣ K♦
3 to a Flush: 7JK2 to a Royal Flush: JK
(more)2♣ 7♦ J♦ Q♣ K♦
3 to a Flush: 8JK2 to a Royal Flush: JK
(more)2♣ 8♦ J♦ Q♣ K♦
3 to a Flush: 2QK2 to a Royal Flush: QK
(more)2♣ 3♦ J♦ Q♣ K♣
3 to a Flush: 3QK2 to a Royal Flush: QK
(more)2♣ 3♦ J♣ Q♦ K♦
3 to a Flush: 4QK2 to a Royal Flush: QK
(more)2♣ 4♦ J♣ Q♦ K♦
3 to a Flush: 5QK2 to a Royal Flush: QK
(more)2♣ 5♦ J♣ Q♦ K♦
3 to a Flush: 6QK2 to a Royal Flush: QK
(more)2♣ 6♦ J♣ Q♦ K♦
3 to a Flush: 7QK2 to a Royal Flush: QK
(more)2♣ 7♦ J♣ Q♦ K♦
3 to a Flush: 8QK2 to a Royal Flush: QK
(more)2♣ 8♦ J♣ Q♦ K♦
4 to a Straight: 9TQK2 to a Royal Flush: QK
(more)2♣ 9♦ 10♦ Q♣ K♣
2 to a Royal Flush: TQSingle Card: an Ace
(more)2♣ 3♦ 10♥ Q♥ A♣
3 to a Flush: 25QSingle Card: a Queen
(more)2♣ 3♦ 5♣ 10♦ Q♣
3 to a Flush: 35QSingle Card: a Queen
(more)2♣ 3♦ 5♦ 10♣ Q♦
3 to a Flush: 45QSingle Card: a Queen
(more)2♣ 4♦ 5♦ 10♣ Q♦
3 to a Flush: 26QSingle Card: a Queen
(more)2♣ 3♦ 6♣ 10♦ Q♣
3 to a Flush: 36QSingle Card: a Queen
(more)2♣ 3♦ 6♦ 10♣ Q♦
3 to a Flush: 46QSingle Card: a Queen
(more)2♣ 4♦ 6♦ 10♣ Q♦
3 to a Flush: 56QSingle Card: a Queen
(more)2♣ 5♦ 6♦ 10♣ Q♦
3 to a Flush: 27QSingle Card: a Queen
(more)2♣ 3♦ 7♣ 10♦ Q♣
3 to a Flush: 37QSingle Card: a Queen
(more)2♣ 3♦ 7♦ 10♣ Q♦
3 to a Flush: 47QSingle Card: a Queen
(more)2♣ 4♦ 7♦ 10♣ Q♦
3 to a Flush: 57QSingle Card: a Queen
(more)2♣ 5♦ 7♦ 10♣ Q♦
3 to a Flush: 67QSingle Card: a Queen
(more)2♣ 6♦ 7♦ 10♣ Q♦
4 to a Straight: 9TJK2 to a Royal Flush: JK
(more)2♣ 9♦ 10♦ J♣ K♣
3 to a Flush: 2TQ2 to a Royal Flush: TQ
(more)2♣ 3♦ 9♦ 10♣ Q♣
3 to a Flush: 3TQ2 to a Royal Flush: TQ
(more)2♣ 3♦ 9♣ 10♦ Q♦
3 to a Flush: 4TQ2 to a Royal Flush: TQ
(more)2♣ 4♦ 9♣ 10♦ Q♦
3 to a Flush: 5TQ2 to a Royal Flush: TQ
(more)2♣ 5♦ 9♣ 10♦ Q♦
3 to a Flush: 6TQ2 to a Royal Flush: TQ
(more)2♣ 6♦ 9♣ 10♦ Q♦
3 to a Flush: 7TQ2 to a Royal Flush: TQ
(more)2♣ 7♦ 9♣ 10♦ Q♦
4 to a Straight: 23463 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ 8♦
4 to a Straight: 23563 to a Straight Flush: 236
(more)2♣ 3♣ 5♦ 6♣ 8♦
4 to a Straight: 23463 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ 8♦
4 to a Straight: 23563 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ 8♦
4 to a Straight: 24563 to a Straight Flush: 256
(more)2♣ 4♦ 5♣ 6♣ 9♦
4 to a Straight: 34673 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ 7♦
4 to a Straight: 35673 to a Straight Flush: 236
(more)2♣ 3♣ 5♦ 6♣ 7♦
4 to a Straight: 35673 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ 7♦
4 to a Straight: 45683 to a Straight Flush: 256
(more)2♣ 4♦ 5♣ 6♣ 8♦
3 to a Straight Flush: 3574 to a Straight: 5789
(more)3♣ 5♣ 7♣ 8♦ 9♦
3 to a Straight Flush: 3674 to a Straight: 678T
(more)3♣ 6♣ 7♣ 8♦ 10♦
3 to a Straight Flush: 3674 to a Straight: 679T
(more)3♣ 6♣ 7♣ 9♦ 10♦
3 to a Straight Flush: 4684 to a Straight: 689T
(more)4♣ 6♣ 8♣ 9♦ 10♦