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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 Flush1,601397,122,9720.00002050,194.1050.880.031896
Straight Flush1012,093,469,9600.0001059,521.621.010.010607
Four Aces with any 2,3,41,6011,282,615,4640.00006415,541.08164.320.103017
Four 2's, 3's, 4's with any A,2,3,48013,346,195,1280.0001685,956.98106.910.134464
Four Aces3212,586,458,8320.0001307,706.7713.130.041652
Four 2's, 3's, 4's1616,219,861,7920.0003123,204.777.790.050238
Four 5's through K's10132,138,701,8960.001612620.2315.500.162844
Full House29224,991,370,7280.01128788.607.660.327330
Flush19265,555,648,3680.01332275.063.430.253123
Straight15299,780,748,4920.01503966.492.180.225589
Three of a Kind71,457,061,877,6440.07309713.681.200.511680
Two Pair42,509,840,921,8600.1259127.940.140.503650
Jacks or Better33,928,204,098,1080.1970685.070.000.591204
Nothing011,199,731,425,9560.5618621.784.880.000000
Totals19,933,230,517,2001.0000002.28379.052.947294

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush1,601391,596,6120.00002050,902.4650.170.031452
Straight Flush1012,086,582,3920.0001059,553.051.010.010573
Four Aces with any 2,3,41,6011,286,364,7200.00006515,495.78164.800.103318
Four 2's, 3's, 4's with any A,2,3,48013,346,805,0400.0001685,955.90106.930.134489
Four Aces3212,598,073,9920.0001307,672.3113.180.041839
Four 2's, 3's, 4's1616,219,951,5760.0003123,204.727.790.050238
Four 5's through K's10132,125,390,1280.001612620.4815.490.162777
Full House29224,950,382,7840.01128588.617.660.327271
Flush19268,593,279,9960.01347574.213.470.256018
Straight15297,542,170,2120.01492766.992.170.223904
Three of a Kind71,456,940,885,9640.07309113.681.200.511637
Two Pair42,509,296,292,1160.1258857.940.140.503540
Jacks or Better33,921,085,945,1880.1967115.080.000.590133
Nothing011,206,766,796,4800.5622151.784.880.000000
Totals19,933,230,517,2001.0000002.28378.912.947189

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four 2's, 3's, 4's with any A,2,3,4; Four Aces with any 2,3,4; Straigh...
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
3 of a Kind + 1 KickerAAA2; AAA3; AAA4
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a KindAAA
Pat HandStraight; Flush; Full House
3 of a Kind + 1 Kicker2223; 2224; 222A; 3332; 3334; 333A; 4442; 4443; 444A
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
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
1 Pair22; 33; 44
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush9TJ; 9JQ
1 Pair55; 66; 77; 88; 99; TT
4 to a Straight9JQK; TJQA; TJKA; TQKA; JQKA
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal FlushJQ
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; JK; QA; QK; 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
Single Cardan Ace
2 to a StraightJK; QK
2 to a Royal FlushTJ
3 to a Flush
(more)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26J; 26Q; 26K; 27J; 27Q...
2 to a Royal FlushTQ; TK
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 256
4 to a Straight2456; 4578; 5679; 5689; 5789; 678T; 679T; 689T
3 to a Straight Flush246; 569; 579; 589; 67T; 68T; 69T
4 to a Straight2356; 3457; 3467; 3567; 4568; 4678
3 to a Straight Flush347; 357; 367; 458; 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: JKSingle Card: an Ace
(more)2♣ 3♣ J♣ K♦ A♥
2 to a Straight: QKSingle Card: an Ace
(more)2♣ 3♣ Q♣ K♦ A♥
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
2 to a Royal Flush: JK3 to a Flush: 2JK
(more)2♣ 3♦ 4♦ J♣ K♣
2 to a Royal Flush: JK3 to a Flush: 3JK
(more)2♣ 3♦ 4♣ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 4JK
(more)2♣ 3♣ 4♦ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 5JK
(more)2♣ 3♣ 5♦ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 6JK
(more)2♣ 3♣ 6♦ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 7JK
(more)2♣ 3♣ 7♦ J♦ K♦
2 to a Royal Flush: JK3 to a Flush: 8JK
(more)2♣ 3♣ 8♦ J♦ K♦
2 to a Royal Flush: QK3 to a Flush: 2QK
(more)2♣ 3♦ 4♦ Q♣ K♣
2 to a Royal Flush: QK3 to a Flush: 3QK
(more)2♣ 3♦ 4♣ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 4QK
(more)2♣ 3♣ 4♦ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 5QK
(more)2♣ 3♣ 5♦ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 6QK
(more)2♣ 3♣ 6♦ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 7QK
(more)2♣ 3♣ 7♦ Q♦ K♦
2 to a Royal Flush: QK3 to a Flush: 8QK
(more)2♣ 3♣ 8♦ Q♦ K♦
2 to a Royal Flush: TJSingle Card: an Ace
(more)2♣ 3♣ 10♦ J♦ A♥
3 to a Straight: JKASingle Card: an Ace
(more)2♣ 9♣ J♦ K♥ A♣
3 to a Straight: QKASingle Card: an Ace
(more)2♣ 9♣ Q♦ K♥ A♣
4 to a Straight: 679TSingle Card: a King
(more)6♣ 7♣ 9♦ 10♣ K♦
4 to a Straight: 689TSingle Card: a King
(more)6♣ 8♣ 9♦ 10♣ K♦
4 to a Straight: 89JQ2 to a Royal Flush: JQ
(more)2♣ 8♦ 9♦ J♣ Q♣
4 to a Straight: 8TJQ2 to a Royal Flush: JQ
(more)2♣ 8♦ 10♦ J♣ Q♣
Single Card: a Jack3 to a Flush: 26J
(more)2♣ 3♦ 4♦ 6♣ J♣
Single Card: a Jack3 to a Flush: 56J
(more)2♣ 3♣ 5♦ 6♦ J♦
Single Card: a Jack3 to a Flush: 25J
(more)2♣ 3♦ 5♣ 6♦ J♣
Single Card: a Jack3 to a Flush: 36J
(more)2♣ 3♦ 4♣ 6♦ J♦
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♦
Single Card: a Jack3 to a Flush: 23J
(more)2♣ 3♣ 4♦ 6♦ J♣
Single Card: a Jack3 to a Flush: 24J
(more)2♣ 3♦ 4♣ 6♦ J♣
Single Card: a Jack3 to a Flush: 35J
(more)2♣ 3♦ 5♦ 6♣ J♦
Single Card: a Jack3 to a Flush: 46J
(more)2♣ 3♣ 4♦ 6♦ J♦
4 to a Straight: 24563 to a Straight Flush: 256
(more)2♣ 4♦ 5♣ 6♣ 9♦
3 to a Straight Flush: 69TSingle Card: a Queen
(more)2♣ 6♦ 9♦ 10♦ Q♣
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: 236Single Card: a King
(more)2♣ 3♣ 6♣ 7♦ K♦
3 to a Straight Flush: 246Single Card: a King
(more)2♣ 4♣ 6♣ 7♦ K♦
3 to a Straight Flush: 256Single Card: a King
(more)2♣ 5♣ 6♣ 7♦ K♦
3 to a Straight Flush: 347Single Card: a King
(more)2♣ 3♦ 4♦ 7♦ K♣
3 to a Straight Flush: 357Single Card: a King
(more)2♣ 3♦ 5♦ 7♦ K♣
3 to a Straight Flush: 367Single Card: a King
(more)2♣ 3♦ 6♦ 7♦ K♣
3 to a Straight Flush: 458Single Card: a King
(more)2♣ 4♦ 5♦ 8♦ K♣
3 to a Straight Flush: 468Single Card: a King
(more)2♣ 4♦ 6♦ 8♦ K♣
3 to a Straight Flush: 478Single Card: a King
(more)2♣ 4♦ 7♦ 8♦ K♣
3 to a Straight Flush: 569Single Card: a King
(more)2♣ 5♦ 6♦ 9♦ K♣
3 to a Straight Flush: 579Single Card: a King
(more)2♣ 5♦ 7♦ 9♦ K♣
3 to a Straight Flush: 589Single Card: a King
(more)2♣ 5♦ 8♦ 9♦ K♣
Single Card: a Jack3 to a Flush: 34J
(more)2♣ 3♦ 4♦ 6♣ J♦
Single Card: a Jack3 to a Flush: 45J
(more)2♣ 4♦ 5♦ 6♣ J♦
4 to a Straight: A2343 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ A♦
4 to a Straight: A2353 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ A♦
4 to a Straight: A2453 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ A♦
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: 34673 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 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♦
4 to a Straight: 78TJ3 to a Straight Flush: 78T
(more)6♣ 7♦ 8♦ 10♦ J♣
4 to a Straight: 79TJ3 to a Straight Flush: 79T
(more)6♣ 7♦ 9♦ 10♦ J♣
3 to a Straight Flush: 5694 to a Straight: 2456
(more)2♣ 4♣ 5♦ 6♦ 9♦
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♦
3 to a Straight Flush: 8TJ4 to a Straight: TJKA
(more)8♣ 10♣ J♣ K♦ 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♦