# Video Poker Strategy Calculator

The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):

### Perfect Strategy Analysis

Hand Payoff Combinations Probability Hit Frequency Variance Return
Royal Flush 3,671 636,166,404 0.000032 31,333.36 429.85 0.117159
Straight Flush 50 1,930,890,564 0.000097 10,323.34 0.23 0.004843
Four of a Kind 80 49,565,314,992 0.002487 402.16 15.50 0.198925
Full House 6 163,667,134,224 0.008211 121.79 0.20 0.049265
Flush 5 223,674,953,292 0.011221 89.12 0.18 0.056106
Straight 4 243,849,829,416 0.012233 81.74 0.11 0.048933
Three of a Kind 3 1,558,463,296,476 0.078184 12.79 0.30 0.234553
Two Pair 1 2,175,186,358,548 0.109124 9.16 0.00 0.109124
Jacks or Better 1 4,440,596,912,460 0.222774 4.49 0.00 0.222774
Nothing 0 11,075,659,660,824 0.555638 1.80 0.60 0.000000
Totals 19,933,230,517,200 1.000000 2.25 446.97 1.041682

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

### Basic Strategy Analysis

Hand Payoff Combinations Probability Hit Frequency Variance Return
Royal Flush 3,671 635,199,936 0.000032 31,381.03 429.20 0.116981
Straight Flush 50 1,943,852,484 0.000098 10,254.50 0.23 0.004876
Four of a Kind 80 49,530,247,632 0.002485 402.45 15.49 0.198785
Full House 6 163,556,142,624 0.008205 121.87 0.20 0.049231
Flush 5 223,288,813,980 0.011202 89.27 0.18 0.056009
Straight 4 244,223,290,092 0.012252 81.62 0.11 0.049008
Three of a Kind 3 1,557,243,605,088 0.078123 12.80 0.30 0.234369
Two Pair 1 2,173,841,730,144 0.109056 9.17 0.00 0.109056
Jacks or Better 1 4,451,671,471,644 0.223329 4.48 0.00 0.223329
Nothing 0 11,067,296,163,576 0.555218 1.80 0.60 0.000000
Totals 19,933,230,517,200 1.000000 2.25 446.31 1.041645

The following table shows the basic strategy:

### Basic Strategy

Type of Play Play Details
Pat Hand Royal Flush
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
4 to a Royal Flush TJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat Hand Flush; Straight Flush
3 to a Royal Flush TJQ; JQK
Pat Hand Straight
3 to a Royal Flush TJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 Pair JJ; QQ; KK; AA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 3344; 3355; 3366; 3377...
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a Straight 9TJQ; TJQK
1 Pair 22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ
2 to a Royal Flush JQ; JK
2 to a Royal Flush TA; JA; QA; QK; KA
2 to a Royal Flush TQ; TK
3 to a Straight Flush 689; 789; 89T; 89J; 9TJ
4 to a Straight TQKA; JQKA
4 to a Straight 9TQK; 9JQK
4 to a Straight 89JQ
2 to a Royal Flush TJ
3 to a Straight JQK
4 to a Straight TJQA; TJKA
4 to a Straight 8TJQ; 9TJK
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 345; 456; 567; 568; 578; 678; 679; 78T...
2 to a Straight JQ
3 to a Straight Flush 234; 235; 245; 346; 356; 457; 467
2 to a Straight JK; QK
2 to a Straight KA
Single Card a Jack; a Queen; a King
Single Card an Ace
3 to a Straight Flush 236; 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 King 2 to a Straight: KA
(more)2♣3♣4♦K♥A♦
Single Card: an Ace 2 to a Straight: KA
(more)2♣6♣7♦K♣A♥
Single Card: an Ace Single Card: a Queen
(more)2♣6♣7♦Q♣A♥
2 to a Straight: QA Single Card: a Queen
(more)2♣3♣4♦Q♣A♦
Single Card: an Ace Single Card: a Jack
(more)6♣7♣8♦J♣A♥
2 to a Straight: JA Single Card: a Jack
(more)2♣7♦9♣J♣A♦
2 to a Royal Flush: QK 2 to a Royal Flush: TA
(more)2♣10♦Q♣K♣A♦
2 to a Royal Flush: QK 2 to a Royal Flush: JA
(more)2♣J♦Q♣K♣A♦
Single Card: a Jack 3 to a Straight Flush: 346
(more)2♣3♦4♦6♦J♣
Single Card: a Jack 3 to a Straight Flush: 356
(more)2♣3♦5♦6♦J♣
Single Card: a Jack 3 to a Straight Flush: 457
(more)3♣4♦5♦7♦J♣
Single Card: a Jack 3 to a Straight Flush: 467
(more)3♣4♦6♦7♦J♣
Single Card: a Jack 3 to a Straight Flush: 568
(more)4♣5♦6♦8♦J♣
Single Card: a Queen 3 to a Straight Flush: 346
(more)2♣3♦4♦6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 356
(more)2♣3♦5♦6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 457
(more)3♣4♦5♦7♦Q♥
Single Card: a Queen 3 to a Straight Flush: 467
(more)3♣4♦6♦7♦Q♥
Single Card: a Jack 3 to a Straight Flush: 578
(more)4♣5♦7♦8♦J♥
Single Card: a Jack 3 to a Straight Flush: 234
(more)2♣3♣4♣6♦J♦
Single Card: an Ace 3 to a Straight Flush: 234
(more)2♣3♣4♣6♦A♦
Single Card: a Jack 3 to a Straight Flush: 235
(more)2♣3♣5♣6♦J♦
Single Card: an Ace 3 to a Straight Flush: 235
(more)2♣3♣5♣6♦A♦
Single Card: a Jack 3 to a Straight Flush: 245
(more)2♣4♣5♣6♦J♦
Single Card: an Ace 3 to a Straight Flush: 245
(more)2♣4♣5♣6♦A♦
Single Card: a Jack 3 to a Straight Flush: 78T
(more)6♣7♦8♦10♦J♣
Single Card: a Jack 3 to a Straight Flush: 79T
(more)6♣7♦9♦10♦J♣
Single Card: a Queen 3 to a Straight Flush: 234 2♣3♣4♣6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 235 2♣3♣5♣6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 245 2♣4♣5♣6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 568 4♣5♦6♦8♦Q♥
Single Card: a Queen 3 to a Straight Flush: 578 4♣5♦7♦8♦Q♥
Single Card: a Jack 3 to a Straight Flush: 679 5♣6♦7♦9♦J♥
Single Card: a Jack 3 to a Straight Flush: 689 5♣6♦8♦9♦J♥
Pat Hand: Straight 3 to a Royal Flush: TJQ
(more)8♣9♦10♦J♦Q♦
3 to a Straight Flush: 79T 4 to a Straight: 9TQK 7♣9♣10♣Q♦K♥
2 to a Royal Flush: QA 2 to a Royal Flush: JK 9♣J♣Q♦K♣A♦