# 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 Flush8,001440,630,6040.00002245,237.961,411.270.176865
Straight Flush5012,162,428,8120.0001089,217.9826.060.054350
Four of a Kind25147,071,420,4280.002361423.47136.210.592725
Full House91229,336,002,2520.01150586.9273.941.046974
Flush69228,642,682,8240.01147087.1838.810.791460
Straight46228,940,168,9200.01148587.0714.200.528326
Three of a Kind331,481,733,836,8680.07433513.4536.532.453050
Two Pair222,571,573,787,9560.1290097.7516.092.838206
Jacks or Better114,261,039,125,8400.2137664.680.012.351422
Nothing010,882,290,432,6960.5459371.8364.070.000000
Totals19,933,230,517,2001.0000002.201,817.1810.833378

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush8,001445,254,9120.00002244,768.131,426.080.178721
Straight Flush5012,168,274,8520.0001099,193.1326.140.054497
Four of a Kind25147,068,503,9960.002361423.49136.200.592688
Full House91229,343,664,2040.01150686.9173.941.047009
Flush69228,281,608,2960.01145287.3238.750.790210
Straight46229,252,387,7400.01150186.9514.220.529047
Three of a Kind331,481,754,494,0280.07433613.4536.532.453084
Two Pair222,571,828,243,9480.1290227.7516.092.838487
Jacks or Better114,257,597,601,1880.2135934.680.012.349523
Nothing010,885,490,484,0360.5460981.8364.090.000000
Totals19,933,230,517,2001.0000002.201,832.0410.833266

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Four of a Kind; Straight Flush; Royal Flush
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
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...
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 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 Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
4 to a StraightJQKA
2 to a Royal FlushJA; JQ; JK; QA; QK; KA
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a StraightJQK
2 to a StraightJQ
2 to a Royal FlushTJ
4 to a Straight9TJK; 9TQK
2 to a StraightJK; QK
2 to a Royal FlushTQ
2 to a StraightJA; QA; KA
2 to a Royal FlushTK
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

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♦
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 3♦ 10♣ Q♣ A♦
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
4 to a Straight: 9TJK2 to a Royal Flush: TJ
(more)2♣ 9♦ 10♣ J♣ K♦
3 to a Flush: 59TGarbage: Discard everything
(more)4♣ 5♦ 6♥ 9♦ 10♦
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 Flush: 5TASingle Card: an Ace
(more)2♣ 3♣ 5♦ 10♦ A♦
3 to a Flush: 459Garbage: Discard everything
(more)4♣ 5♣ 6♦ 9♣ 10♥
3 to a Flush: 45TGarbage: Discard everything
(more)4♣ 5♣ 6♦ 9♥ 10♣
3 to a Flush: 56TGarbage: Discard everything
(more)4♣ 5♦ 6♦ 9♥ 10♦
3 to a Flush: 49TGarbage: Discard everything
(more)4♣ 5♦ 6♥ 9♣ 10♣
3 to a Flush: 2JA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ Q♦ A♣
3 to a Flush: 3JA2 to a Royal Flush: JA
(more)3♣ 10♦ J♣ Q♦ A♣
3 to a Flush: 4JA2 to a Royal Flush: JA
(more)4♣ 10♦ J♣ Q♦ A♣
3 to a Flush: 5JA2 to a Royal Flush: JA
(more)5♣ 10♦ J♣ Q♦ A♣
3 to a Flush: 6JA2 to a Royal Flush: JA
(more)6♣ 10♦ J♣ Q♦ A♣
3 to a Flush: 7JA2 to a Royal Flush: JA
(more)7♣ 10♦ J♣ Q♦ A♣
3 to a Flush: 8JA2 to a Royal Flush: JA
(more)8♣ 10♦ J♣ Q♦ A♣
3 to a Flush: 2QA2 to a Royal Flush: QA
(more)2♣ 10♦ J♦ Q♣ A♣
3 to a Flush: 3QA2 to a Royal Flush: QA
(more)3♣ 10♦ J♦ Q♣ A♣
3 to a Flush: 4QA2 to a Royal Flush: QA
(more)4♣ 10♦ J♦ Q♣ A♣
3 to a Flush: 5QA2 to a Royal Flush: QA
(more)5♣ 10♦ J♦ Q♣ A♣
3 to a Flush: 6QA2 to a Royal Flush: QA
(more)6♣ 10♦ J♦ Q♣ A♣
3 to a Flush: 7QA2 to a Royal Flush: QA
(more)7♣ 10♦ J♦ Q♣ A♣
3 to a Flush: 8QA2 to a Royal Flush: QA
(more)8♣ 10♦ J♦ Q♣ A♣
3 to a Flush: 2KA2 to a Royal Flush: KA
(more)2♣ 10♦ J♦ K♣ A♣
3 to a Flush: 3KA2 to a Royal Flush: KA
(more)3♣ 10♦ J♦ K♣ A♣
3 to a Flush: 4KA2 to a Royal Flush: KA
(more)4♣ 10♦ J♦ K♣ A♣
3 to a Flush: 5KA2 to a Royal Flush: KA
(more)5♣ 10♦ J♦ K♣ A♣
3 to a Flush: 6KA2 to a Royal Flush: KA
(more)6♣ 10♦ J♦ K♣ A♣
3 to a Flush: 7KA2 to a Royal Flush: KA
(more)7♣ 10♦ J♦ K♣ A♣
3 to a Flush: 8KA2 to a Royal Flush: KA
(more)8♣ 10♦ J♦ K♣ A♣
3 to a Flush: 9KA2 to a Royal Flush: KA
(more)9♣ 10♦ J♦ K♣ A♣
3 to a Flush: 57TGarbage: Discard everything
(more)4♣ 5♦ 7♦ 9♥ 10♦
3 to a Flush: 58TGarbage: Discard everything
(more)4♣ 5♦ 8♦ 9♥ 10♦
3 to a Flush: 9JA2 to a Royal Flush: JA
(more)9♣ 10♦ J♣ K♦ A♣
3 to a Flush: 9QA2 to a Royal Flush: QA
(more)9♣ 10♦ Q♣ K♦ A♣
3 to a Flush: 469Garbage: Discard everything4♣ 5♦ 6♣ 9♣ 10♥
3 to a Flush: 479Garbage: Discard everything4♣ 5♦ 7♣ 9♣ 10♥
3 to a Flush: 489Garbage: Discard everything4♣ 5♦ 8♣ 9♣ 10♥
3 to a Flush: 46TGarbage: Discard everything4♣ 5♦ 6♣ 9♥ 10♣
3 to a Flush: 47TGarbage: Discard everything4♣ 5♦ 7♣ 9♥ 10♣
3 to a Flush: 48TGarbage: Discard everything4♣ 5♦ 8♣ 9♥ 10♣