# 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 Flush801381,382,4520.00001952,265.7312.210.015326
Straight Flush512,171,533,5960.0001099,179.330.260.005556
Four of a Kind2646,195,330,8600.002318431.501.340.060255
Full House19224,432,644,8600.01125988.823.260.213925
Flush15316,866,124,9920.01589662.912.690.238446
Straight10289,952,700,8160.01454668.750.930.145462
Three of a Kind61,430,608,202,1720.07177013.931.150.430620
Two Pair42,476,018,795,3560.1242168.050.500.496863
Jacks or Better23,827,479,048,2360.1920155.210.000.384030
Nothing011,319,124,753,8600.5678521.762.250.000000
Totals19,933,230,517,2001.0000002.3124.601.990482

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush801381,995,9160.00001952,181.7912.230.015350
Straight Flush512,169,601,1160.0001099,187.510.260.005551
Four of a Kind2646,195,769,4600.002318431.491.340.060256
Full House19224,436,581,4600.01125988.813.260.213929
Flush15316,723,939,5480.01588962.942.690.238339
Straight10290,018,649,2400.01455068.730.930.145495
Three of a Kind61,430,629,387,0320.07177113.931.150.430626
Two Pair42,476,053,402,3360.1242178.050.500.496869
Jacks or Better23,827,564,529,8400.1920195.210.000.384039
Nothing011,319,056,661,2520.5678491.762.250.000000
Totals19,933,230,517,2001.0000002.3124.621.990454

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Straight Flush; Royal Flush
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
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...
4 to a Flush
(more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 2367; 2368; 2369; 236T...
1 PairJJ; QQ; KK; AA
4 to a Flush
(more)234J; 234Q; 234K; 235J; 235Q; 235K; 236A; 236J; 236Q; 236K; 237A; 237J...
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; 78J; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ
4 to a StraightTJQA; JQKA
3 to a Straight Flush9JK; 9QK
4 to a Straight9JQK; TJKA; TQKA
3 to a Flush
(more)2TA; 2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3TA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA...
3 to a Straight Flush79J; 7TJ; 89Q; 8TQ; 9TK
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 Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a StraightTJQ; JQK
3 to a Flush
(more)23K; 24K; 25K; 26K; 27K; 28K; 29A; 29K; 2TJ; 2TQ; 2TK; 34K; 35K; 36K...
2 to a StraightJQ
3 to a Flush
(more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26A; 26J; 26Q; 27A; 27J; 27Q; 28A; 28J...
2 to a Royal FlushTJ
2 to a StraightJK; QK
4 to a StraightA234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ
2 to a Royal FlushTQ
2 to a StraightJA
Single Carda Jack
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
2 to a StraightQA; KA
2 to a Royal FlushTK
Single Carda Queen; a King; an Ace
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 8♣ 10♦ J♦ K♥
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 9♣ 10♦ Q♦ A♥
2 to a Straight Flush: 9TGarbage: Discard everything
(more)2♣ 3♣ 4♦ 9♥ 10♥
3 to a Straight Flush: 67TSingle Card: a Jack
(more)2♣ 6♦ 7♦ 10♦ J♣
3 to a Straight Flush: 68TSingle Card: a Jack
(more)2♣ 6♦ 8♦ 10♦ J♣
3 to a Straight Flush: 69TSingle Card: a Jack
(more)2♣ 6♦ 9♦ 10♦ J♣
3 to a Straight Flush: 458Single Card: a Jack
(more)2♣ 4♦ 5♦ 8♦ J♣
3 to a Straight Flush: 468Single Card: a Jack
(more)2♣ 4♦ 6♦ 8♦ J♣
3 to a Straight Flush: 569Single Card: a Jack
(more)2♣ 5♦ 6♦ 9♦ J♣
3 to a Straight Flush: 236Single Card: a Jack
(more)2♣ 3♣ 6♣ 7♦ J♦
3 to a Straight Flush: 246Single Card: a Jack
(more)2♣ 4♣ 6♣ 7♦ J♦
3 to a Straight Flush: 256Single Card: a Jack
(more)2♣ 5♣ 6♣ 7♦ J♦
3 to a Straight Flush: 347Single Card: a Jack
(more)2♣ 3♦ 4♦ 7♦ J♣
3 to a Straight Flush: 357Single Card: a Jack
(more)2♣ 3♦ 5♦ 7♦ J♣
3 to a Straight Flush: 367Single Card: a Jack
(more)2♣ 3♦ 6♦ 7♦ J♣
3 to a Straight Flush: 579Single Card: a Jack
(more)2♣ 5♦ 7♦ 9♦ J♣
3 to a Straight Flush: 589Single Card: a Jack
(more)2♣ 5♦ 8♦ 9♦ J♣
2 to a Straight Flush: 89Garbage: Discard everything
(more)2♣ 3♣ 4♦ 8♥ 9♥
4 to a Straight: 79TJ2 to a Royal Flush: TJ
(more)7♣ 9♣ 10♦ J♦ A♥
3 to a Straight Flush: 478Single Card: a Jack
(more)2♣ 4♦ 7♦ 8♦ J♣
Single Card: a Queen3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ Q♦
Single Card: a Queen3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ Q♦
Single Card: a Queen3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ Q♦
Single Card: a Queen3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ Q♦
Single Card: a Queen3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ Q♦
Single Card: a Queen3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ Q♦
Single Card: a Queen3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ Q♦
Single Card: a Queen3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ Q♦
Single Card: a King3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ K♥
Single Card: a King3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ K♥
Single Card: a King3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ K♥
Single Card: a King3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ K♥
Single Card: a King3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ K♥
Single Card: a King3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ K♥
Single Card: an Ace3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ A♥
Single Card: a King3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ K♥
Single Card: an Ace3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ A♥
Single Card: a King3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ K♥
Single Card: an Ace3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ A♥
Single Card: a King3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ K♥
Single Card: an Ace3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ A♥
Single Card: a King3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ K♥
Single Card: an Ace3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ A♥
Single Card: a King3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ K♥
Single Card: an Ace3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ A♥
Single Card: a King3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ K♥
Single Card: an Ace3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ A♥
Single Card: a Queen3 to a Straight Flush: 67T
(more)6♣ 7♣ 8♦ 10♣ Q♥
Single Card: a King3 to a Straight Flush: 67T
(more)6♣ 7♣ 8♦ 10♣ K♥
Single Card: an Ace3 to a Straight Flush: 67T
(more)6♣ 7♣ 8♦ 10♣ A♥
Single Card: a King3 to a Straight Flush: 68T
(more)6♣ 7♦ 8♣ 10♣ K♥
Single Card: an Ace3 to a Straight Flush: 68T
(more)6♣ 7♦ 8♣ 10♣ A♥
Single Card: a King3 to a Straight Flush: 69T
(more)6♣ 7♦ 9♣ 10♣ K♥
Single Card: an Ace3 to a Straight Flush: 69T
(more)6♣ 7♦ 9♣ 10♣ A♥
3 to a Straight Flush: 3474 to a Straight: A234
(more)2♣ 3♦ 4♦ 7♦ A♣
3 to a Straight Flush: 3574 to a Straight: A235
(more)2♣ 3♦ 5♦ 7♦ A♣
3 to a Straight Flush: 4584 to a Straight: A245
(more)2♣ 4♦ 5♦ 8♦ A♣
3 to a Straight Flush: 4584 to a Straight: A345
(more)3♣ 4♦ 5♦ 8♦ A♣
3 to a Straight Flush: 4784 to a Straight: 789J
(more)4♣ 7♣ 8♣ 9♦ J♦
3 to a Straight Flush: 5894 to a Straight: 89TQ
(more)5♣ 8♣ 9♣ 10♦ Q♦
3 to a Flush: 29J2 to a Straight: JQ2♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 39J2 to a Straight: JQ3♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 49J2 to a Straight: JQ4♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 59J2 to a Straight: JQ5♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 69J2 to a Straight: JQ6♣ 9♣ J♣ Q♦ A♥
3 to a Flush: 29Q2 to a Straight: JQ2♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 39Q2 to a Straight: JQ3♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 49Q2 to a Straight: JQ4♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 59Q2 to a Straight: JQ5♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 69Q2 to a Straight: JQ6♣ 9♣ J♦ Q♣ A♥
3 to a Flush: 79Q2 to a Straight: JQ7♣ 9♣ J♦ Q♣ A♥
3 to a Straight Flush: 2362 to a Straight: JA2♣ 3♣ 6♣ J♦ A♥
3 to a Straight Flush: 2462 to a Straight: JA2♣ 4♣ 6♣ J♦ A♥
3 to a Straight Flush: 2562 to a Straight: JA2♣ 5♣ 6♣ J♦ A♥
3 to a Straight Flush: 3472 to a Straight: JA3♣ 4♣ 7♣ J♦ A♥
3 to a Straight Flush: 3572 to a Straight: JA3♣ 5♣ 7♣ J♦ A♥
3 to a Straight Flush: 3672 to a Straight: JA3♣ 6♣ 7♣ J♦ A♥
3 to a Straight Flush: 4582 to a Straight: JA4♣ 5♣ 8♣ J♦ A♥
3 to a Straight Flush: 4682 to a Straight: JA4♣ 6♣ 8♣ J♦ A♥
3 to a Straight Flush: 4782 to a Straight: JA4♣ 7♣ 8♣ J♦ A♥
3 to a Straight Flush: 5692 to a Straight: JA5♣ 6♣ 9♣ J♦ A♥
3 to a Straight Flush: 5792 to a Straight: JA5♣ 7♣ 9♣ J♦ A♥
3 to a Straight Flush: 5892 to a Straight: JA5♣ 8♣ 9♣ J♦ A♥
3 to a Straight Flush: 67T2 to a Straight: JA6♣ 7♣ 10♣ J♦ A♥
3 to a Straight Flush: 68T2 to a Straight: JA6♣ 8♣ 10♣ J♦ A♥
3 to a Straight Flush: 69T2 to a Straight: JA6♣ 9♣ 10♣ J♦ A♥
Single Card: an Ace3 to a Straight Flush: 3473♣ 4♣ 6♦ 7♣ A♥
Single Card: an Ace3 to a Straight Flush: 3573♣ 5♣ 6♦ 7♣ A♥
Single Card: a Queen3 to a Straight Flush: 68T6♣ 7♦ 8♣ 10♣ Q♥
Single Card: a Queen3 to a Straight Flush: 69T6♣ 7♦ 9♣ 10♣ Q♥
3 to a Straight Flush: 4784 to a Straight: 78TJ4♣ 7♣ 8♣ 10♦ J♥
3 to a Straight Flush: 5794 to a Straight: 79TJ5♣ 7♣ 9♣ 10♦ J♥
3 to a Straight Flush: 4582 to a Royal Flush: TQ4♣ 5♣ 8♣ 10♦ Q♦
3 to a Straight Flush: 4682 to a Royal Flush: TQ4♣ 6♣ 8♣ 10♦ Q♦
3 to a Straight Flush: 4782 to a Royal Flush: TQ4♣ 7♣ 8♣ 10♦ Q♦
3 to a Straight Flush: 5692 to a Royal Flush: TQ5♣ 6♣ 9♣ 10♦ Q♦
3 to a Straight Flush: 5792 to a Royal Flush: TQ5♣ 7♣ 9♣ 10♦ Q♦