# 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 4,669.6356 551,840,328 0.000028 36,121.37 603.00 0.129276
Straight Flush 294.6356 2,684,144,280 0.000135 7,426.29 11.48 0.039675
Four of a Kind 148.8023 45,740,686,356 0.002295 435.79 49.06 0.341456
Full House 55.469 222,282,402,084 0.011151 89.68 31.18 0.618554
Flush 19.3756 330,373,781,772 0.016574 60.34 4.67 0.321132
Straight 13.5422 337,651,250,208 0.016939 59.03 2.03 0.229393
Three of a Kind 7.7089 1,406,784,517,344 0.070575 14.17 1.85 0.544054
Two Pair 1.8756 2,434,554,278,136 0.122135 8.19 0.06 0.229077
Jacks or Better 0.8333 3,304,583,972,064 0.165783 6.03 0.51 0.138147
Nothing 0 11,848,023,644,628 0.594386 1.68 3.99 0.000000
Totals 19,933,230,517,200 1.000000 2.47 707.84 2.590764

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 4,669.6356 548,629,776 0.000028 36,332.75 599.50 0.128524
Straight Flush 294.6356 2,674,143,168 0.000134 7,454.06 11.44 0.039527
Four of a Kind 148.8023 45,746,188,980 0.002295 435.74 49.06 0.341497
Full House 55.469 222,266,352,420 0.011151 89.68 31.18 0.618509
Flush 19.3756 331,789,930,356 0.016645 60.08 4.69 0.322508
Straight 13.5422 336,339,621,552 0.016873 59.27 2.02 0.228502
Three of a Kind 7.7089 1,406,756,703,912 0.070573 14.17 1.85 0.544044
Two Pair 1.8756 2,434,107,664,656 0.122113 8.19 0.06 0.229035
Jacks or Better 0.8333 3,310,727,637,312 0.166091 6.02 0.51 0.138404
Nothing 0 11,842,273,645,068 0.594097 1.68 3.99 0.000000
Totals 19,933,230,517,200 1.000000 2.46 704.30 2.590550

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 Flush
4 to a Straight Flush 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 of a Kind 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat Hand Straight
4 to a Straight Flush
(more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578...
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
3 to a Royal Flush TJA; 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...
1 Pair JJ; QQ; KK; AA
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush 345; 456; 567; 678; 789; 89T; 9TJ
1 Pair 22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 236; 245; 246; 256; 346; 347...
4 to a Straight A234; JQKA
4 to a Straight 2346; 9JQK
4 to a Straight 89JQ; TQKA
4 to a Straight 789J; 9TQK
4 to a Straight
(more)A235; A245; A345; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679...
3 to a Flush
(more)2TA; 2TK; 2JA; 2JK; 2QA; 2QK; 2KA; 3TA; 3TK; 3JA; 3JK; 3QA; 3QK; 3KA...
2 to a Royal Flush TJ; TQ; TK; JA; JQ; JK; QA; QK; KA
3 to a Flush
(more)23T; 23J; 23Q; 23K; 24T; 24J; 24Q; 24K; 25T; 25J; 25Q; 25K; 26A; 26T...
2 to a Royal Flush TA
3 to a Flush
(more)237; 238; 239; 247; 248; 249; 257; 258; 259; 267; 268; 269; 278; 279...
3 to a Straight 9TJ; TJQ
2 to a Straight Flush 89; 9J
2 to a Straight Flush 45; 56; 67; 78; 9T
3 to a Straight 89T; JQK
2 to a Straight Flush 8J; 9Q
Single Card a Jack
Single Card a Queen
3 to a Straight 456; 567; 678; 789
2 to a Straight Flush 79; 8T
3 to a Straight 345
Single Card an Ace
2 to a Straight Flush 9K
2 to a Straight Flush 68
2 to a Straight Flush 34
Single Card a King
2 to a Straight Flush A4; A5; 23; 35; 46; 47; 57; 58
2 to a Straight Flush A2; A3; 24; 25
2 to a Straight Flush 69; 7T
2 to a Straight Flush 36
Single Card a Ten
Single Card a Nine
2 to a Straight Flush 48
Single Card an Eight

The following table shows the exceptions to the basic strategy:

### Basic Strategy Exceptions

Right Play Wrong Play Pattern(s)
Single Card: a King Single Card: an Ace
(more)2♣3♣6♦K♥A♦
Single Card: a King Single Card: a Queen
(more)2♣3♣8♦Q♦K♥
Single Card: a Queen Single Card: a Jack
(more)2♣3♣7♦J♦Q♥
Single Card: an Ace Single Card: a Queen
(more)2♣6♦9♣Q♦A♥
Single Card: a King 2 to a Straight Flush: 9K
(more)2♣3♣9♦10♥K♦
3 to a Straight: 789 Single Card: a Queen
(more)2♣7♣8♦9♥Q♦
2 to a Straight Flush: 9K Single Card: an Ace
(more)2♣3♦9♥K♥A♣
2 to a Straight Flush: 68 Single Card: an Ace
(more)2♣3♣6♦8♦A♥
2 to a Straight Flush: A4 Single Card: an Ace
(more)4♣6♦7♥9♦A♣
2 to a Straight Flush: A2 Single Card: an Ace
(more)2♣6♦7♥9♦A♣
2 to a Straight Flush: A3 Single Card: an Ace
(more)3♣6♦7♥9♦A♣
2 to a Straight Flush: 46 Single Card: an Ace
(more)2♣4♦6♦8♥A♣
3 to a Straight: 456 Single Card: a Queen
(more)4♣5♦6♣10♥Q♦
3 to a Straight: 567 Single Card: a Queen
(more)5♣6♦7♣10♥Q♦
2 to a Straight Flush: 8T Single Card: a Queen
(more)2♣3♦8♥10♥Q♣
2 to a Straight Flush: 57 Single Card: an Ace
(more)2♣5♦7♦8♥A♣
2 to a Straight Flush: 79 Single Card: a Queen
(more)2♣3♦7♥9♥Q♣
2 to a Straight Flush: A5 Single Card: an Ace
(more)5♣6♦8♦10♥A♣
Single Card: a King 2 to a Straight Flush: 68
(more)2♣4♣6♦8♦K♥
2 to a Royal Flush: JK 3 to a Flush: 2JK
(more)2♣3♦4♦J♣K♣
2 to a Royal Flush: JK 3 to a Flush: 3JK
(more)2♣3♦4♣J♦K♦
2 to a Royal Flush: JK 3 to a Flush: 4JK
(more)2♣3♣4♦J♦K♦
2 to a Royal Flush: JK 3 to a Flush: 5JK
(more)2♣3♣5♦J♦K♦
2 to a Royal Flush: JK 3 to a Flush: 6JK
(more)2♣3♣6♦J♦K♦
2 to a Royal Flush: JK 3 to a Flush: 7JK
(more)2♣3♣7♦J♦K♦
2 to a Royal Flush: JK 3 to a Flush: 8JK
(more)2♣3♣8♦J♦K♦
2 to a Royal Flush: QK 3 to a Flush: 2QK
(more)2♣3♦4♦Q♣K♣
2 to a Royal Flush: QK 3 to a Flush: 3QK
(more)2♣3♦4♣Q♦K♦
2 to a Royal Flush: QK 3 to a Flush: 4QK
(more)2♣3♣4♦Q♦K♦
2 to a Royal Flush: QK 3 to a Flush: 5QK
(more)2♣3♣5♦Q♦K♦
2 to a Royal Flush: QK 3 to a Flush: 6QK
(more)2♣3♣6♦Q♦K♦
2 to a Royal Flush: QK 3 to a Flush: 7QK
(more)2♣3♣7♦Q♦K♦
2 to a Royal Flush: QK 3 to a Flush: 8QK
(more)2♣3♣8♦Q♦K♦
3 to a Straight: 345 Single Card: a Queen
(more)3♣4♣5♦10♥Q♦
Single Card: a King 2 to a Straight Flush: 34
(more)2♣3♦4♦7♣K♥
Single Card: a King 2 to a Straight Flush: 79
(more)2♣5♣7♦9♦K♥
3 to a Straight: 678 Single Card: a Queen
(more)6♣7♦8♣Q♦K♥
2 to a Straight Flush: 34 Single Card: an Ace
(more)3♣4♣7♦8♥A♦
2 to a Straight Flush: 35 Single Card: an Ace
(more)3♣5♣7♦8♥A♦
Single Card: an Eight Single Card: a Nine
(more)2♣3♦4♥8♠9♣
Single Card: an Ace 2 to a Straight Flush: 79
(more)2♣6♣7♦9♦A♥
2 to a Straight Flush: 68 Single Card: a Queen
(more)2♣3♦6♥8♥Q♣
Single Card: a Seven Single Card: a Nine
(more)2♣3♦4♥7♠9♣
2 to a Straight Flush: 35 Single Card: a King
(more)3♣5♣7♦8♥K♦
Single Card: a King 3 to a Straight: 789
(more)2♣7♣8♦9♥K♠
Single Card: an Ace 3 to a Straight: 789
(more)2♣7♣8♦9♥A♠
2 to a Straight Flush: 34 Single Card: a Queen
(more)3♣4♣8♦9♥Q♦
2 to a Straight Flush: 35 Single Card: a Queen
(more)3♣5♣8♦9♥Q♦
2 to a Straight Flush: 46 Single Card: a Queen
(more)4♣6♣8♦9♥Q♦
Single Card: a King 3 to a Straight: 345
(more)3♣4♣5♦8♦K♥
2 to a Straight Flush: 57 Single Card: a King
(more)2♣3♦5♥7♥K♣
2 to a Straight Flush: 46 Single Card: a King
(more)2♣4♦6♦9♥K♣
Single Card: an Ace 2 to a Straight Flush: 8T
(more)2♣7♣8♦10♦A♥
Single Card: a King 3 to a Straight: 678
(more)2♣6♣7♦8♥K♠
Single Card: an Ace 3 to a Straight: 678
(more)2♣6♣7♦8♥A♠
Single Card: a King 2 to a Straight Flush: 8T
(more)2♣7♣8♦10♦K♥
4 to a Straight: A235 4 to a Straight: 2356
(more)2♣3♣5♦6♥A♦
4 to a Straight: A245 4 to a Straight: 2456
(more)2♣4♣5♦6♥A♦
4 to a Straight: A345 4 to a Straight: 3457
(more)3♣4♣5♦7♥A♦
Single Card: a Six Single Card: a Nine
(more)2♣3♦6♥7♣9♦
3 to a Straight: 678 Single Card: a Jack
(more)6♣7♦8♥J♣Q♦
2 to a Straight Flush: 57 Single Card: a Queen
(more)2♣5♦7♦10♥Q♣
Single Card: a Ten 2 to a Straight Flush: 25
(more)2♣3♦5♣7♦10♥
2 to a Straight Flush: 68 Single Card: a Jack
(more)2♣6♦8♦J♣Q♥
Single Card: a Ten 2 to a Straight Flush: 24
(more)2♣3♦4♣7♦10♥
Single Card: a Jack 2 to a Straight Flush: 45
(more)2♣4♦5♦7♣J♥
Single Card: a Jack 2 to a Straight Flush: 56
(more)2♣5♦6♦7♣J♥
Single Card: a Jack 2 to a Straight Flush: 67
(more)2♣5♣6♦7♦J♥
Single Card: a Ten 2 to a Straight Flush: 23
(more)2♣3♣4♦7♥10♠
2 to a Straight Flush: 34 2 to a Straight Flush: 9K
(more)2♣3♦4♦9♥K♥
2 to a Straight Flush: 35 2 to a Straight Flush: 9K
(more)2♣3♦5♦9♥K♥
2 to a Straight Flush: 46 2 to a Straight Flush: 9K
(more)2♣4♦6♦9♥K♥
Single Card: a King 3 to a Straight: 456
(more)4♣5♦6♣9♦K♥
Single Card: a King 3 to a Straight: 567
(more)2♣5♣6♦7♥K♠
Single Card: a Seven Single Card: an Eight
(more)2♣3♦4♥7♠8♣
Single Card: a Five Single Card: a Nine
(more)2♣3♦5♥8♣9♦
Single Card: a Ten 2 to a Straight Flush: 47
(more)2♣4♦5♣7♦10♥
Single Card: a Jack 2 to a Straight Flush: 78
(more)2♣6♣7♦8♦J♥
2 to a Straight Flush: 57 Single Card: a Jack
(more)2♣5♦7♦10♥J♣
2 to a Straight Flush: 45 2 to a Straight Flush: 89
(more)4♣5♣8♦9♦10♥
2 to a Straight Flush: 45 2 to a Straight Flush: 9T
(more)4♣5♣8♦9♥10♥
2 to a Straight Flush: 57 2 to a Straight Flush: 9K
(more)2♣5♦7♦9♥K♥
Single Card: a Five Single Card: an Eight
(more)2♣3♦5♥7♣8♦
2 to a Straight Flush: 48 Single Card: a Nine
(more)2♣3♦4♥8♥9♣
2 to a Straight Flush: 7T 2 to a Straight Flush: 23
(more)2♣3♣4♦7♥10♥
2 to a Straight Flush: 7T 2 to a Straight Flush: 24
(more)2♣3♦4♣7♥10♥
2 to a Straight Flush: 7T 2 to a Straight Flush: 25
(more)2♣3♦5♣7♥10♥
2 to a Straight Flush: 8J 2 to a Straight Flush: 45
(more)2♣4♦5♦8♥J♥
2 to a Straight Flush: 9Q 2 to a Straight Flush: 45
(more)3♣4♦5♦9♥Q♥
Single Card: a Ten 2 to a Straight Flush: 36
(more)2♣3♦6♦7♣10♥
2 to a Straight Flush: 8J 2 to a Straight Flush: 56
(more)2♣5♦6♦8♥J♥
2 to a Straight Flush: 9Q 2 to a Straight Flush: 56
(more)3♣5♦6♦9♥Q♥
2 to a Straight Flush: 9Q 2 to a Straight Flush: 67
(more)3♣6♦7♦9♥Q♥
Single Card: an Eight 2 to a Straight Flush: 48
(more)2♣3♦4♥7♣8♥
2 to a Straight Flush: 56 2 to a Straight Flush: 9T
(more)5♣6♣9♦10♦Q♥
2 to a Straight Flush: 68 2 to a Straight Flush: 9K
(more)2♣6♦8♦9♥K♥
2 to a Straight Flush: 34 3 to a Straight: 789
(more)3♣4♣7♦8♥9♦
2 to a Straight Flush: 34 3 to a Straight: 89T
(more)3♣4♣8♦9♥10♦
2 to a Straight Flush: 35 3 to a Straight: 89T
(more)3♣5♣8♦9♥10♦
2 to a Straight Flush: A2 Single Card: a Queen 2♣8♦10♥Q♦A♣
2 to a Straight Flush: A3 Single Card: a Queen 3♣8♦10♥Q♦A♣
2 to a Straight Flush: A4 Single Card: a Queen 4♣8♦10♥Q♦A♣
2 to a Straight Flush: A5 Single Card: a Queen 5♣8♦10♥Q♦A♣
2 to a Straight Flush: 8J 2 to a Straight Flush: 67 3♣6♦7♦8♥J♥
Single Card: a Seven 2 to a Straight Flush: 48 2♣3♦4♥7♠8♥
2 to a Straight Flush: 34 2 to a Straight Flush: 68 3♣4♣6♦8♦9♥
2 to a Straight Flush: 35 2 to a Straight Flush: 68 3♣5♣6♦8♦10♥
2 to a Straight Flush: 9Q 2 to a Straight Flush: 78 4♣7♦8♦9♥Q♥
2 to a Straight Flush: 34 2 to a Straight Flush: 79 3♣4♣7♦9♦10♥
2 to a Straight Flush: 35 2 to a Straight Flush: 79 3♣5♣7♦9♦10♥
2 to a Straight Flush: A5 2 to a Straight Flush: 79 5♣7♦9♦10♥A♣
2 to a Straight Flush: 34 2 to a Straight Flush: 8T 3♣4♣7♦8♥10♥
2 to a Straight Flush: 35 2 to a Straight Flush: 8T 3♣5♣7♦8♥10♥