# 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 1,601 388,927,344 0.000020 51,251.81 49.83 0.031238
Straight Flush 101 2,128,388,712 0.000107 9,365.41 1.03 0.010784
Four of a Kind 51 46,641,186,336 0.002340 427.37 5.40 0.119333
Full House 27 226,482,933,744 0.011362 88.01 6.56 0.306776
Flush 21 292,239,433,044 0.014661 68.21 4.77 0.307879
Straight 14 258,568,507,032 0.012972 77.09 1.58 0.181604
Three of a Kind 9 1,453,530,814,824 0.072920 13.71 2.65 0.656280
Two Pair 6 2,515,360,171,896 0.126189 7.92 1.16 0.757136
Jacks or Better 3 3,980,427,958,620 0.199688 5.01 0.00 0.599064
Nothing 0 11,157,462,195,648 0.559742 1.79 4.94 0.000000
Totals 19,933,230,517,200 1.000000 2.27 77.90 2.970095

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 1,601 387,885,540 0.000019 51,389.47 49.69 0.031154
Straight Flush 101 2,109,851,412 0.000106 9,447.69 1.02 0.010690
Four of a Kind 51 46,645,218,360 0.002340 427.34 5.40 0.119344
Full House 27 226,504,361,160 0.011363 88.00 6.56 0.306805
Flush 21 291,733,017,228 0.014636 68.33 4.76 0.307346
Straight 14 257,885,665,656 0.012937 77.29 1.57 0.181125
Three of a Kind 9 1,453,755,399,696 0.072931 13.71 2.65 0.656381
Two Pair 6 2,515,767,812,928 0.126210 7.92 1.16 0.757258
Jacks or Better 3 3,986,268,336,612 0.199981 5.00 0.00 0.599943
Nothing 0 11,152,172,968,608 0.559476 1.79 4.94 0.000000
Totals 19,933,230,517,200 1.000000 2.27 77.75 2.970047

The following table shows the basic strategy:

### Basic Strategy

Type of Play Play Details
Pat Hand Full 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 Flush TJQA; TJQK; TJKA; TQKA; JQKA
Pat Hand Straight; Flush
3 of a Kind 222; 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 Pair JJ; QQ; KK; AA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Royal Flush TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Straight 89TJ; 9TJQ; TJQK
1 Pair 22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush 8TJ; 8JQ; 9TJ; 9JQ; 9JK; 9QK
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; TJKA; JQKA
3 to a Straight Flush 345; 456; 567; 678; 789; 89T; 89J; 9TQ
2 to a Royal Flush JQ
4 to a Straight 9JQK; TJQA; TQKA
3 to a Flush
(more)2TA; 2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3TA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA...
2 to a Royal Flush JA; 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 Straight 89JQ; 8TJQ; 9TJK; 9TQK
3 to a Straight TJQ; JQK
2 to a Straight JQ
3 to a Flush 29A; 39A; 49A; 59A; 69A; 79A; 89A
2 to a Straight JK; QK
3 to a Flush
(more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26A; 26J; 26Q; 27A; 27J; 27Q; 28A; 28J...
2 to a Royal Flush TJ; TQ
3 to a Flush
(more)23K; 24K; 25K; 26K; 27K; 28K; 34K; 35K; 36K; 37K; 38K; 45K; 46K; 47K...
2 to a Straight JA; QA; KA
2 to a Royal Flush TK
Single Card a Jack; a Queen; a King; 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...
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 Royal Flush: TJ 2 to a Straight: JK
(more)2♣3♣10♦J♦K♣
2 to a Straight: QA 2 to a Royal Flush: TQ
(more)2♣9♣10♦Q♦A♥
2 to a Royal Flush: TJ 3 to a Flush: 2TJ
(more)2♣3♦4♦10♣J♣
2 to a Royal Flush: TJ 3 to a Flush: 3TJ
(more)2♣3♦4♣10♦J♦
2 to a Royal Flush: TJ 3 to a Flush: 4TJ
(more)2♣3♣4♦10♦J♦
2 to a Royal Flush: TJ 3 to a Flush: 5TJ
(more)2♣3♣5♦10♦J♦
2 to a Royal Flush: TJ 3 to a Flush: 6TJ
(more)2♣3♣6♦10♦J♦
4 to a Straight: 9JQK 2 to a Royal Flush: JQ
(more)2♣9♦J♣Q♣K♦
4 to a Straight: TJQA 2 to a Royal Flush: JQ
(more)2♣10♦J♣Q♣A♦
3 to a Straight Flush: 69T Single Card: a King
(more)2♣6♦9♦10♦K♣
3 to a Straight Flush: 458 Single Card: an Ace
(more)2♣4♦5♦8♦A♣
3 to a Flush: 2JQ 2 to a Royal Flush: JQ
(more)2♣8♦10♦J♣Q♣
3 to a Flush: 3JQ 2 to a Royal Flush: JQ
(more)3♣8♦10♦J♣Q♣
3 to a Flush: 4JQ 2 to a Royal Flush: JQ
(more)4♣8♦10♦J♣Q♣
3 to a Flush: 5JQ 2 to a Royal Flush: JQ
(more)5♣8♦10♦J♣Q♣
3 to a Flush: 6JQ 2 to a Royal Flush: JQ
(more)6♣8♦10♦J♣Q♣
3 to a Flush: 7JQ 2 to a Royal Flush: JQ
(more)7♣8♦10♦J♣Q♣
3 to a Straight Flush: 347 Single Card: an Ace
(more)2♣3♦4♦7♦A♣
3 to a Straight Flush: 357 Single Card: an Ace
(more)2♣3♦5♦7♦A♣
3 to a Straight Flush: 236 Single Card: an Ace
(more)2♣3♣6♣7♦A♦
3 to a Straight Flush: 246 Single Card: an Ace
(more)2♣4♣6♣7♦A♦
3 to a Straight Flush: 256 Single Card: an Ace
(more)2♣5♣6♣7♦A♦
3 to a Straight Flush: 569 Single Card: a King
(more)2♣5♦6♦9♦K♣
3 to a Straight Flush: 579 Single Card: a King
(more)2♣5♦7♦9♦K♣
3 to a Straight Flush: 589 Single Card: a King
(more)2♣5♦8♦9♦K♣
3 to a Straight Flush: 67T Single Card: a Queen
(more)2♣6♦7♦10♦Q♣
3 to a Straight Flush: 68T Single Card: a Queen
(more)2♣6♦8♦10♦Q♣
3 to a Straight Flush: 69T Single Card: a Queen
(more)2♣6♦9♦10♦Q♣
3 to a Straight Flush: 67T Single Card: a King
(more)2♣6♦7♦10♦K♣
3 to a Straight Flush: 68T Single Card: a King
(more)2♣6♦8♦10♦K♣
3 to a Straight Flush: 367 Single Card: an Ace
(more)2♣3♦6♦7♦A♣
3 to a Straight Flush: 468 Single Card: an Ace
(more)2♣4♦6♦8♦A♣
3 to a Straight Flush: 478 Single Card: an Ace
(more)2♣4♦7♦8♦A♣
3 to a Straight Flush: 569 Single Card: an Ace
(more)2♣5♦6♦9♦A♣
3 to a Straight Flush: 579 Single Card: an Ace
(more)2♣5♦7♦9♦A♣
3 to a Straight Flush: 589 Single Card: an Ace
(more)2♣5♦8♦9♦A♣
3 to a Straight Flush: 67T Single Card: an Ace
(more)2♣6♦7♦10♦A♣
3 to a Straight Flush: 68T Single Card: an Ace
(more)2♣6♦8♦10♦A♣
3 to a Straight Flush: 69T Single Card: an Ace
(more)2♣6♦9♦10♦A♣
3 to a Straight Flush: 589 Single Card: a Queen
(more)2♣5♦8♦9♦Q♣
3 to a Straight Flush: 236 Single Card: a King
(more)2♣3♣6♣7♦K♦
3 to a Straight Flush: 246 Single Card: a King
(more)2♣4♣6♣7♦K♦
3 to a Straight Flush: 256 Single Card: a King
(more)2♣5♣6♣7♦K♦
3 to a Straight Flush: 347 Single Card: a King
(more)2♣3♦4♦7♦K♣
3 to a Straight Flush: 357 Single Card: a King
(more)2♣3♦5♦7♦K♣
3 to a Straight Flush: 367 Single Card: a King
(more)2♣3♦6♦7♦K♣
3 to a Straight Flush: 458 Single Card: a King
(more)2♣4♦5♦8♦K♣
3 to a Straight Flush: 468 Single Card: a King
(more)2♣4♦6♦8♦K♣
3 to a Straight Flush: 478 Single Card: a King
(more)2♣4♦7♦8♦K♣
3 to a Flush: 29J 2 to a Straight: JK 2♣9♣J♣K♦A♥
3 to a Flush: 39J 2 to a Straight: JK 3♣9♣J♣K♦A♥
3 to a Flush: 49J 2 to a Straight: JK 4♣9♣J♣K♦A♥
3 to a Flush: 59J 2 to a Straight: JK 5♣9♣J♣K♦A♥
3 to a Flush: 69J 2 to a Straight: JK 6♣9♣J♣K♦A♥
3 to a Flush: 29K 2 to a Straight: JK 2♣9♣J♦K♣A♥
3 to a Flush: 39K 2 to a Straight: JK 3♣9♣J♦K♣A♥
3 to a Flush: 49K 2 to a Straight: JK 4♣9♣J♦K♣A♥
3 to a Flush: 59K 2 to a Straight: JK 5♣9♣J♦K♣A♥
3 to a Flush: 69K 2 to a Straight: JK 6♣9♣J♦K♣A♥
3 to a Flush: 79K 2 to a Straight: JK 7♣9♣J♦K♣A♥
3 to a Flush: 89K 2 to a Straight: JK 8♣9♣J♦K♣A♥
3 to a Flush: 29Q 2 to a Straight: QK 2♣9♣Q♣K♦A♥
3 to a Flush: 39Q 2 to a Straight: QK 3♣9♣Q♣K♦A♥
3 to a Flush: 49Q 2 to a Straight: QK 4♣9♣Q♣K♦A♥
3 to a Flush: 59Q 2 to a Straight: QK 5♣9♣Q♣K♦A♥
3 to a Flush: 69Q 2 to a Straight: QK 6♣9♣Q♣K♦A♥
3 to a Flush: 79Q 2 to a Straight: QK 7♣9♣Q♣K♦A♥
3 to a Flush: 29K 2 to a Straight: QK 2♣9♣Q♦K♣A♥
3 to a Flush: 39K 2 to a Straight: QK 3♣9♣Q♦K♣A♥
3 to a Flush: 49K 2 to a Straight: QK 4♣9♣Q♦K♣A♥
3 to a Flush: 59K 2 to a Straight: QK 5♣9♣Q♦K♣A♥
3 to a Flush: 69K 2 to a Straight: QK 6♣9♣Q♦K♣A♥
3 to a Flush: 79K 2 to a Straight: QK 7♣9♣Q♦K♣A♥
3 to a Flush: 89K 2 to a Straight: QK 8♣9♣Q♦K♣A♥
3 to a Straight Flush: 458 Single Card: a Queen 4♣5♣8♣9♦Q♦
3 to a Straight Flush: 468 Single Card: a Queen 4♣6♣8♣9♦Q♦
3 to a Straight Flush: 478 Single Card: a Queen 4♣7♣8♣9♦Q♦
3 to a Straight Flush: 569 2 to a Royal Flush: TK 5♣6♣9♣10♦K♦
3 to a Straight Flush: 579 2 to a Royal Flush: TK 5♣7♣9♣10♦K♦
3 to a Straight Flush: 589 2 to a Royal Flush: TK 5♣8♣9♣10♦K♦
3 to a Straight Flush: 78J 2 to a Royal Flush: QA 7♣8♣J♣Q♦A♦
3 to a Straight Flush: 79J 2 to a Royal Flush: QA 7♣9♣J♣Q♦A♦
3 to a Straight Flush: 78J 2 to a Royal Flush: KA 7♣8♣J♣K♦A♦
3 to a Straight Flush: 79J 2 to a Royal Flush: KA 7♣9♣J♣K♦A♦
3 to a Straight Flush: 89Q 2 to a Royal Flush: KA 8♣9♣Q♣K♦A♦
2 to a Royal Flush: TJ 3 to a Flush: 26A 2♣6♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 36A 3♣6♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 46A 4♣6♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 56A 5♣6♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 27A 2♣7♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 37A 3♣7♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 47A 4♣7♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 57A 5♣7♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 67A 6♣7♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 28A 2♣8♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 38A 3♣8♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 48A 4♣8♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 58A 5♣8♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 68A 6♣8♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 78A 7♣8♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 29A 2♣9♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 39A 3♣9♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 49A 4♣9♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 59A 5♣9♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 69A 6♣9♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Flush: 79A 7♣9♣10♦J♦A♣