# 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 Flush800473,734,7640.00002442,076.7715.170.019013
Straight Flush502,173,028,2080.0001099,173.020.260.005451
Four of a Kind8047,036,533,6680.002360423.7814.730.188776
Full House9229,024,825,8120.01149087.040.740.103406
Flush6221,668,234,9680.01112189.920.280.066723
Straight4254,739,744,7080.01278078.250.120.051119
Three of a Kind31,476,869,429,0760.07409113.500.300.222272
Two Pair12,559,283,090,7400.1283937.790.000.128393
Jacks or Better14,211,166,789,1080.2112644.730.000.211264
Nothing010,930,795,106,1480.5483701.820.540.000000
Totals19,933,230,517,2001.0000002.2132.130.996417

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800477,851,9280.00002441,714.2415.300.019178
Straight Flush502,177,376,5400.0001099,154.700.260.005462
Four of a Kind8047,020,530,4440.002359423.9314.720.188712
Full House9228,986,215,5960.01148887.050.740.103389
Flush6221,971,242,5520.01113689.800.280.066814
Straight4253,972,115,2440.01274178.490.110.050965
Three of a Kind31,476,497,430,7440.07407213.500.300.222216
Two Pair12,559,223,308,5280.1283907.790.000.128390
Jacks or Better14,211,291,494,4400.2112704.730.000.211270
Nothing010,931,612,951,1840.5484121.820.540.000000
Totals19,933,230,517,2001.0000002.2132.260.996396

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
Pat HandFull House; Straight Flush; Royal Flush
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush
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
4 to a StraightTJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
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
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a StraightJQ; QK
2 to a Royal FlushTJ; TQ
2 to a StraightJK; QA
2 to a StraightJA; 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
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 Jack2 to a Straight: JA
(more)2♣ 3♣ 4♦ J♥ A♦
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: TJKA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ K♦ A♣
4 to a Straight: TQKA2 to a Royal Flush: QA
(more)2♣ 10♦ Q♣ K♦ A♣
4 to a Straight: TJKA2 to a Royal Flush: KA
(more)2♣ 10♦ J♦ K♣ A♣
4 to a Straight: TQKA2 to a Royal Flush: KA
(more)2♣ 10♦ Q♦ K♣ A♣
4 to a Straight: TJQA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ Q♦ A♣
4 to a Straight: TJQA2 to a Royal Flush: QA
(more)2♣ 10♦ J♦ Q♣ A♣