# 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 Flush800513,460,0560.00002638,821.3916.440.020607
Straight Flush1002,380,735,2360.0001198,372.721.170.011944
Four Aces2404,690,390,4640.0002354,249.8013.440.056473
Four 2's, 3's, 4's12010,517,351,4240.0005281,895.277.470.063315
Four 5's through K's5032,475,349,5840.001629613.803.910.081460
Full House9216,433,655,4240.01085892.100.700.097721
Flush5220,628,280,8280.01106890.350.180.055342
Straight4252,804,878,8680.01268378.850.110.050730
Three of a Kind31,500,042,920,9640.07525313.290.300.225760
Two Pair12,453,408,797,9320.1230818.120.000.123081
Jacks or Better14,217,838,277,4640.2115984.730.000.211598
Nothing011,021,496,418,9560.5529211.810.550.000000
Totals19,933,230,517,2001.0000002.2444.280.998033

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800515,580,3000.00002638,661.7416.510.020692
Straight Flush1002,358,212,3520.0001188,452.691.160.011831
Four Aces2404,685,398,1640.0002354,254.3313.430.056413
Four 2's, 3's, 4's12010,516,764,7320.0005281,895.387.470.063312
Four 5's through K's5032,459,280,3120.001628614.103.910.081420
Full House9216,330,772,2480.01085392.140.690.097675
Flush5220,040,257,5480.01103990.590.180.055194
Straight4258,026,218,8840.01294577.250.120.051778
Three of a Kind31,498,602,057,0120.07518113.300.300.225543
Two Pair12,450,514,991,5000.1229368.130.000.122936
Jacks or Better14,210,167,939,0120.2112144.730.000.211214
Nothing011,029,013,045,1360.5532981.810.550.000000
Totals19,933,230,517,2001.0000002.2444.320.998008

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 KindAAA
Pat HandFull House
4 to a Straight Flush2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 of a Kind222; 333; 444; 555; 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; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
4 to a StraightTJKA; TQKA; JQKA
2 to a Royal FlushJQ; KA
4 to a StraightTJQA
2 to a Royal FlushJA; QA
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 7TJ; 8TQ; 9TK
2 to a Royal FlushJK
3 to a Straight Flush78T; 79T
2 to a Royal FlushQK
4 to a Straight9JQK
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 78J; 79J; 89Q
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...

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)6♣ 8♣ J♣ Q♦ A♥
2 to a Royal Flush: JK4 to a Straight: TJKA
(more)2♣ 10♣ J♦ K♦ A♣
2 to a Royal Flush: JA4 to a Straight: TJKA
(more)2♣ 10♣ J♦ K♣ A♦
2 to a Royal Flush: QK4 to a Straight: TQKA
(more)2♣ 10♣ Q♦ 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 Royal Flush: TJSingle Card: an Ace
(more)2♣ 3♦ 10♥ J♥ 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: 9JQK2 to a Royal Flush: QK
(more)2♣ 9♦ J♦ Q♣ K♣
1 Pair: JJ3 to a Royal Flush: JQK
(more)J♣ J♦ 2♣ Q♣ K♣
1 Pair: QQ3 to a Royal Flush: JQK
(more)Q♣ Q♦ 2♣ J♣ K♣
1 Pair: KK3 to a Royal Flush: JQK
(more)K♣ K♦ 2♣ J♣ Q♣
3 to a Straight Flush: 3462 to a Royal Flush: JA3♣ 4♣ 6♣ J♦ A♦
3 to a Straight Flush: 3562 to a Royal Flush: JA3♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 4572 to a Royal Flush: JA4♣ 5♣ 7♣ J♦ A♦
3 to a Straight Flush: 4672 to a Royal Flush: JA4♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: JA5♣ 6♣ 8♣ J♦ A♦
3 to a Straight Flush: 5782 to a Royal Flush: JA5♣ 7♣ 8♣ J♦ A♦
3 to a Straight Flush: 6792 to a Royal Flush: JA6♣ 7♣ 9♣ J♦ A♦
3 to a Straight Flush: 6892 to a Royal Flush: JA6♣ 8♣ 9♣ J♦ A♦
3 to a Straight Flush: 78T2 to a Royal Flush: JA7♣ 8♣ 10♣ J♦ A♦
3 to a Straight Flush: 79T2 to a Royal Flush: JA7♣ 9♣ 10♣ J♦ A♦
3 to a Straight Flush: 3462 to a Royal Flush: QA3♣ 4♣ 6♣ Q♦ A♦
3 to a Straight Flush: 3562 to a Royal Flush: QA3♣ 5♣ 6♣ Q♦ A♦
3 to a Straight Flush: 4572 to a Royal Flush: QA4♣ 5♣ 7♣ Q♦ A♦
3 to a Straight Flush: 4672 to a Royal Flush: QA4♣ 6♣ 7♣ Q♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: QA5♣ 6♣ 8♣ Q♦ A♦
3 to a Straight Flush: 5782 to a Royal Flush: QA5♣ 7♣ 8♣ Q♦ A♦
3 to a Straight Flush: 6792 to a Royal Flush: QA6♣ 7♣ 9♣ Q♦ A♦
3 to a Straight Flush: 6892 to a Royal Flush: QA6♣ 8♣ 9♣ Q♦ A♦
3 to a Straight Flush: 78T2 to a Royal Flush: QA7♣ 8♣ 10♣ Q♦ A♦
3 to a Straight Flush: 79T2 to a Royal Flush: QA7♣ 9♣ 10♣ Q♦ A♦
3 to a Straight Flush: 3462 to a Royal Flush: KA3♣ 4♣ 6♣ K♦ A♦
3 to a Straight Flush: 3562 to a Royal Flush: KA3♣ 5♣ 6♣ K♦ A♦
3 to a Straight Flush: 4572 to a Royal Flush: KA4♣ 5♣ 7♣ K♦ A♦
3 to a Straight Flush: 4672 to a Royal Flush: KA4♣ 6♣ 7♣ K♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: KA5♣ 6♣ 8♣ K♦ A♦
3 to a Straight Flush: 5782 to a Royal Flush: KA5♣ 7♣ 8♣ K♦ A♦
3 to a Straight Flush: 6792 to a Royal Flush: KA6♣ 7♣ 9♣ K♦ A♦
3 to a Straight Flush: 6892 to a Royal Flush: KA6♣ 8♣ 9♣ K♦ A♦
3 to a Straight Flush: 78T2 to a Royal Flush: KA7♣ 8♣ 10♣ K♦ A♦
3 to a Straight Flush: 79T2 to a Royal Flush: KA7♣ 9♣ 10♣ K♦ A♦