# 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 Flush800439,463,5080.00002245,358.1014.070.017637
Straight Flush502,348,724,7200.0001188,486.830.280.005891
Four Aces with any 2,3,48001,402,364,4960.00007014,214.0244.910.056282
Four 2's, 3's, 4's with any A,2,3,44003,440,009,0280.0001735,794.5327.470.069031
Four Aces1602,952,442,2720.0001486,751.443.740.023699
Four 2's, 3's, 4's806,376,626,7800.0003203,125.982.000.025592
Four 5's through K's5031,673,324,0760.001589629.343.820.079449
Full House9206,321,656,2840.01035196.610.660.093156
Flush7311,320,443,6720.01561864.030.560.109327
Straight4252,218,322,6360.01265379.030.110.050613
Three of a Kind21,468,173,074,4480.07365513.580.070.147309
Two Pair12,390,581,734,2640.1199298.340.000.119929
Jacks or Better13,944,045,609,7480.1978635.050.000.197863
Nothing011,311,936,721,2680.5674911.760.560.000000
Totals19,933,230,517,2001.0000002.3198.280.995778

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800434,954,4240.00002245,828.3213.930.017456
Straight Flush502,315,524,7160.0001168,608.520.280.005808
Four Aces with any 2,3,48001,403,108,0400.00007014,206.4844.940.056312
Four 2's, 3's, 4's with any A,2,3,44003,440,641,6920.0001735,793.4627.480.069043
Four Aces1602,954,889,6720.0001486,745.853.750.023718
Four 2's, 3's, 4's806,376,579,2600.0003203,126.012.000.025592
Four 5's through K's5031,698,922,3200.001590628.833.820.079513
Full House9206,426,965,7520.01035696.560.660.093203
Flush7311,560,328,9400.01563063.980.560.109411
Straight4251,552,883,9480.01262079.240.110.050479
Three of a Kind21,469,265,010,8840.07370913.570.070.147419
Two Pair12,391,918,837,6600.1199978.330.000.119997
Jacks or Better13,942,976,347,0000.1978095.060.000.197809
Nothing011,310,905,522,8920.5674401.760.560.000000
Totals19,933,230,517,2001.0000002.3198.170.995761

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...
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind + 1 Kicker2223; 2224; 222A; 3332; 3334; 333A; 4442; 4443; 444A; AAA2; AAA3; AAA4
3 of a Kind222; 333; 444; AAA
Pat HandStraight; Flush; Full House
3 of a Kind555; 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...
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Royal FlushTJQ; TJK; TQK; JQA; JQK; JKA; QKA
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; TQA; TKA
1 Pair22; 33; 44
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush789; 8JQ; 9TJ; 9JQ; 9JK; 9QK
1 Pair88
3 to a Straight Flush456; 9TQ
1 Pair77
3 to a Straight Flush345; 89J; 8TJ
1 PairTT
3 to a Straight Flush678
1 Pair66
3 to a Straight Flush89T
1 Pair99
3 to a Straight Flush567
1 Pair55
4 to a StraightJQKA
3 to a Flush
(more)2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA; 4JA; 4JQ...
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 Straight9JQK; TJQA; TJKA; TQKA
3 to a Straight Flush89Q; 8TQ; 9TK
3 to a StraightJQK
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
Single Cardan Ace
3 to a Flush
(more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26A; 26J; 26Q; 27A; 27J; 27Q; 27K; 28A...
2 to a Royal FlushTJ
3 to a Flush23K; 24K; 25K; 26K; 34K; 35K; 36K; 45K; 46K; 56K
3 to a StraightTJQ
2 to a StraightJQ
3 to a Straight Flush458; 468; 478; 569; 579; 589; 67T; 68T; 69T
2 to a Royal FlushTQ
3 to a Straight Flush236; 246; 256; 347; 357; 367
2 to a StraightJK; QK
2 to a Royal FlushTK
Single Carda Jack; a Queen; a King
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
2 to a Straight Flush34

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
Garbage: Discard everything2 to a Straight Flush: 34
(more)2♣ 3♦ 4♦ 7♣ 8♥
2 to a Royal Flush: JQ3 to a Flush: 2JQ
(more)2♣ 3♦ 4♦ J♣ Q♣
2 to a Royal Flush: JQ3 to a Flush: 3JQ
(more)2♣ 3♦ 4♣ J♦ Q♦
2 to a Royal Flush: JQ3 to a Flush: 4JQ
(more)2♣ 3♣ 4♦ J♦ Q♦
2 to a Royal Flush: JQ3 to a Flush: 5JQ
(more)2♣ 3♣ 5♦ J♦ Q♦
2 to a Royal Flush: JQ3 to a Flush: 6JQ
(more)2♣ 3♣ 6♦ J♦ Q♦
2 to a Royal Flush: JQ3 to a Flush: 7JQ
(more)2♣ 3♣ 7♦ J♦ Q♦
3 to a Straight Flush: 89J1 Pair: 88
(more)8♣ 8♦ 2♣ 9♦ J♦
3 to a Straight Flush: 8TJ1 Pair: 88
(more)8♣ 8♦ 2♣ 10♦ J♦
3 to a Flush: 2TASingle Card: an Ace
(more)2♣ 3♦ 4♦ 10♣ A♣
3 to a Flush: 3TASingle Card: an Ace
(more)2♣ 3♦ 4♣ 10♦ A♦
3 to a Flush: 4TASingle Card: an Ace
(more)2♣ 3♣ 4♦ 10♦ A♦
3 to a Straight Flush: 5671 Pair: 66
(more)6♣ 6♦ 2♣ 5♦ 7♦
3 to a Straight Flush: 5671 Pair: 77
(more)7♣ 7♦ 2♣ 5♦ 6♦
3 to a Straight Flush: 6781 Pair: 77
(more)7♣ 7♦ 2♣ 6♦ 8♦
3 to a Straight Flush: 6781 Pair: 88
(more)8♣ 8♦ 2♣ 6♦ 7♦
3 to a Straight Flush: 89T1 Pair: 88
(more)8♣ 8♦ 2♣ 9♦ 10♦
3 to a Straight Flush: 89T1 Pair: TT
(more)10♣ 10♦ 2♣ 8♦ 9♦
3 to a Royal Flush: TJQ4 to a Flush: 2TJQ
(more)2♣ 2♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 3TJQ
(more)3♣ 3♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 4TJQ
(more)4♣ 4♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 5TJQ
(more)5♣ 5♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 6TJQ
(more)6♣ 6♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 7TJQ
(more)7♣ 7♦ 10♣ J♣ Q♣
3 to a Flush: 26ASingle Card: an Ace
(more)2♣ 6♣ J♦ Q♥ A♣
3 to a Flush: 36ASingle Card: an Ace
(more)3♣ 6♣ J♦ Q♥ A♣
3 to a Flush: 46ASingle Card: an Ace
(more)4♣ 6♣ J♦ Q♥ A♣
3 to a Flush: 27ASingle Card: an Ace
(more)2♣ 7♣ J♦ Q♥ A♣
3 to a Flush: 37ASingle Card: an Ace
(more)3♣ 7♣ J♦ Q♥ A♣
3 to a Flush: 47ASingle Card: an Ace
(more)4♣ 7♣ J♦ Q♥ A♣
3 to a Flush: 28ASingle Card: an Ace
(more)2♣ 8♣ J♦ Q♥ A♣
3 to a Flush: 38ASingle Card: an Ace
(more)3♣ 8♣ J♦ Q♥ A♣
3 to a Flush: 48ASingle Card: an Ace
(more)4♣ 8♣ J♦ Q♥ A♣
3 to a Flush: 29ASingle Card: an Ace
(more)2♣ 9♣ J♦ Q♥ A♣
3 to a Flush: 39ASingle Card: an Ace
(more)3♣ 9♣ J♦ Q♥ A♣
3 to a Flush: 49ASingle Card: an Ace
(more)4♣ 9♣ J♦ Q♥ A♣
1 Pair: 553 to a Straight Flush: 345
(more)5♣ 5♦ 3♣ 4♣ 7♦
1 Pair: 553 to a Straight Flush: 456
(more)5♣ 5♦ 2♣ 4♦ 6♦
1 Pair: 663 to a Straight Flush: 456
(more)6♣ 6♦ 2♣ 4♦ 5♦
1 Pair: 553 to a Straight Flush: 567
(more)5♣ 5♦ 3♣ 6♦ 7♦
1 Pair: 663 to a Straight Flush: 678
(more)6♣ 6♦ 4♣ 7♦ 8♦
1 Pair: 773 to a Straight Flush: 789
(more)7♣ 7♦ 5♣ 8♦ 9♦
1 Pair: 883 to a Straight Flush: 789
(more)8♣ 8♦ 5♣ 7♦ 9♦
1 Pair: 993 to a Straight Flush: 789
(more)9♣ 9♦ 5♣ 7♦ 8♦
1 Pair: 993 to a Straight Flush: 89T
(more)9♣ 9♦ 6♣ 8♦ 10♦
3 to a Straight Flush: 5692 to a Straight: JQ5♣ 6♣ 9♣ J♦ Q♥
3 to a Straight Flush: 5792 to a Straight: JQ5♣ 7♣ 9♣ J♦ Q♥
3 to a Straight Flush: 67T3 to a Straight: TJQ6♣ 7♣ 10♣ J♦ Q♥
3 to a Straight Flush: 8TQ4 to a Straight: TQKA8♣ 10♣ Q♣ K♦ A♥
3 to a Flush: 23JSingle Card: an Ace2♣ 3♣ 4♦ J♣ A♦
3 to a Flush: 24JSingle Card: an Ace2♣ 3♦ 4♣ J♣ A♦
3 to a Flush: 34JSingle Card: an Ace2♣ 3♦ 4♦ J♦ A♣
3 to a Flush: 23QSingle Card: an Ace2♣ 3♣ 4♦ Q♣ A♦
3 to a Flush: 24QSingle Card: an Ace2♣ 3♦ 4♣ Q♣ A♦
3 to a Flush: 34QSingle Card: an Ace2♣ 3♦ 4♦ Q♦ A♣
3 to a Flush: 23KSingle Card: an Ace2♣ 3♣ 4♦ K♣ A♦
3 to a Flush: 24KSingle Card: an Ace2♣ 3♦ 4♣ K♣ A♦
3 to a Flush: 34KSingle Card: an Ace2♣ 3♦ 4♦ K♦ A♣
3 to a Straight Flush: 78J2 to a Royal Flush: QK7♣ 8♣ J♣ Q♦ K♦
3 to a Straight Flush: 79J2 to a Royal Flush: QK7♣ 9♣ J♣ Q♦ K♦
3 to a Straight Flush: 78J2 to a Royal Flush: QA7♣ 8♣ J♣ Q♦ A♦
3 to a Straight Flush: 79J2 to a Royal Flush: QA7♣ 9♣ J♣ Q♦ A♦
3 to a Straight Flush: 7TJ2 to a Royal Flush: QA7♣ 10♣ J♣ Q♦ A♦
3 to a Straight Flush: 78J2 to a Royal Flush: KA7♣ 8♣ J♣ K♦ A♦
3 to a Straight Flush: 79J2 to a Royal Flush: KA7♣ 9♣ J♣ K♦ A♦
3 to a Straight Flush: 7TJ2 to a Royal Flush: KA7♣ 10♣ J♣ K♦ A♦
3 to a Straight Flush: 89Q2 to a Royal Flush: KA8♣ 9♣ Q♣ K♦ A♦
3 to a Straight Flush: 8TQ2 to a Royal Flush: KA8♣ 10♣ Q♣ K♦ A♦
3 to a Straight Flush: 3451 Pair: 888♦ 8♣ 3♥ 4♥ 5♥
3 to a Straight Flush: 5671 Pair: TT10♦ 10♣ 5♥ 6♥ 7♥
1 Pair: 553 to a Straight Flush: 7895♣ 5♦ 7♥ 8♥ 9♥