# 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 Flush800493,512,2640.00002540,390.5515.810.019807
Straight Flush502,178,883,2960.0001099,148.370.260.005465
Four of a Kind2547,093,167,7640.002363423.271.360.059064
Full House9229,475,482,5960.01151286.860.740.103610
Flush6219,554,786,1600.01101590.790.280.066087
Straight4223,837,565,7840.01122989.050.100.044917
Three of a Kind31,484,003,070,3240.07444913.430.300.223346
Two Pair22,576,946,164,1480.1292797.740.130.258558
Jacks or Better14,277,372,890,9680.2145854.660.000.214585
Nothing010,872,274,993,8960.5454351.830.540.000000
Totals19,933,230,517,2001.0000002.2019.510.995439

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800501,787,8720.00002539,724.4216.070.020139
Straight Flush502,182,408,0920.0001099,133.590.260.005474
Four of a Kind2547,091,616,6680.002362423.291.360.059062
Full House9229,472,668,3320.01151286.870.740.103609
Flush6218,710,850,6160.01097291.140.270.065833
Straight4223,980,621,1080.01123789.000.100.044946
Three of a Kind31,484,028,486,9360.07445013.430.300.223350
Two Pair22,577,124,786,3200.1292887.730.130.258576
Jacks or Better14,274,501,705,4600.2144414.660.000.214441
Nothing010,875,635,585,7960.5456031.830.540.000000
Totals19,933,230,517,2001.0000002.2019.780.995429

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
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush
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
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
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
2 to a Royal FlushJQ
4 to a StraightJQKA
2 to a Royal FlushJA; 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; 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

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Straight: QA2 to a Royal Flush: TQ
(more)2♣ 3♦ 10♣ Q♣ A♦
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♦ 9♣ 10♦ K♦
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
4 to a Straight: JQKA2 to a Royal Flush: JQ
(more)2♣ J♣ Q♣ K♦ A♦
4 to a Flush: 2TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 2♣ J♣ A♣
4 to a Flush: 3TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 3♣ J♣ A♣
4 to a Flush: 4TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 4♣ J♣ A♣
4 to a Flush: 5TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 5♣ J♣ A♣
4 to a Flush: 6TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 6♣ J♣ A♣
4 to a Flush: 7TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 7♣ J♣ A♣
4 to a Flush: 8TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 8♣ J♣ A♣
4 to a Flush: 9TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 9♣ J♣ A♣
4 to a Flush: 2TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 2♣ Q♣ A♣
4 to a Flush: 3TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 3♣ Q♣ A♣
4 to a Flush: 4TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 4♣ Q♣ A♣
4 to a Flush: 5TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 5♣ Q♣ A♣
4 to a Flush: 6TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 6♣ Q♣ A♣
4 to a Flush: 7TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 7♣ Q♣ A♣
4 to a Flush: 8TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 8♣ Q♣ A♣
4 to a Flush: 9TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 9♣ Q♣ A♣
4 to a Flush: 2TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 2♣ K♣ A♣
4 to a Flush: 3TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 3♣ K♣ A♣
4 to a Flush: 4TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 4♣ K♣ A♣
4 to a Flush: 5TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 5♣ K♣ A♣
4 to a Flush: 6TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 6♣ K♣ A♣
4 to a Flush: 7TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 7♣ K♣ A♣
4 to a Flush: 8TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 8♣ K♣ A♣
4 to a Flush: 9TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 9♣ K♣ A♣
3 to a Straight Flush: 79J4 to a Straight: 9JQK7♣ 9♣ J♣ Q♦ K♥
3 to a Straight Flush: 7TJ4 to a Straight: TJQA7♣ 10♣ J♣ Q♦ A♥
3 to a Straight Flush: 7TJ4 to a Straight: TJKA7♣ 10♣ J♣ K♦ A♥
3 to a Straight Flush: 8TQ4 to a Straight: TQKA8♣ 10♣ Q♣ K♦ A♥