# 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 4,668.0449 560,421,192 0.000028 35,568.30 612.02 0.131242
Straight Flush 293.0449 2,685,111,480 0.000135 7,423.61 11.38 0.039475
Four of a Kind 147.2116 45,804,865,404 0.002298 435.18 48.20 0.338280
Full House 53.8782 222,576,122,556 0.011166 89.56 29.62 0.601608
Flush 17.7848 326,868,504,108 0.016398 60.98 3.89 0.291638
Straight 11.9515 331,394,855,808 0.016625 60.15 1.52 0.198697
Three of a Kind 6.1181 1,410,182,692,248 0.070745 14.14 0.99 0.432827
Two Pair 1.6667 2,439,755,920,800 0.122396 8.17 0.06 0.203998
Jacks or Better 0.8333 3,359,804,959,188 0.168553 5.93 0.40 0.140455
Nothing 0 11,793,597,064,416 0.591655 1.69 3.35 0.000000
Totals 19,933,230,517,200 1.000000 2.45 711.43 2.378220

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 4,668.0449 559,897,668 0.000028 35,601.56 611.45 0.131119
Straight Flush 293.0449 2,681,939,928 0.000135 7,432.39 11.37 0.039428
Four of a Kind 147.2116 45,809,541,396 0.002298 435.13 48.21 0.338314
Full House 53.8782 222,579,896,724 0.011166 89.56 29.62 0.601619
Flush 17.7848 326,286,913,164 0.016369 61.09 3.89 0.291119
Straight 11.9515 332,056,900,500 0.016658 60.03 1.53 0.199094
Three of a Kind 6.1181 1,410,186,533,724 0.070746 14.14 0.99 0.432828
Two Pair 1.6667 2,439,458,829,756 0.122382 8.17 0.06 0.203973
Jacks or Better 0.8333 3,362,954,144,904 0.168711 5.93 0.40 0.140587
Nothing 0 11,790,655,919,436 0.591508 1.69 3.35 0.000000
Totals 19,933,230,517,200 1.000000 2.45 710.85 2.378081

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...
3 to a Royal Flush TJQ
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
3 to a Royal Flush TJA; 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; 9TJQ; TJQK
3 to a Straight Flush 345; 456; 567; 678; 789; 9TJ
4 to a Straight 89TJ
3 to a Straight Flush 89T
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; TJQA
4 to a Straight 2346; 8TJQ
4 to a Straight
(more)A235; A245; A345; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679...
2 to a Royal Flush TJ; JQ; QK
4 to a Straight 678T; 789J
4 to a Straight 5789
3 to a Flush
(more)2TA; 2TK; 2JA; 2QA; 2QK; 2KA; 3TA; 3TK; 3JA; 3QA; 3QK; 3KA; 4TA; 4TK...
2 to a Royal Flush TQ; TK; JA; JK; QA; 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...
2 to a Straight Flush 89; 9J
3 to a Straight 9TJ; TJQ; JQK
2 to a Straight Flush 45; 9T
2 to a Straight Flush 8J; 9Q
2 to a Straight Flush 56; 67; 78
Single Card a Jack
Single Card a Queen
Single Card a King
Single Card an Ace
3 to a Straight 456; 567; 678; 789; 89T
2 to a Straight Flush 79; 8T
2 to a Straight Flush 46; 47; 57; 68
3 to a Straight 345
2 to a Straight Flush 34; 58
2 to a Straight Flush 23; 24; 25; 35; 36; 7T
2 to a Straight Flush 69
Single Card a Ten
Single Card a Nine
Single Card a Five; a Six
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: an Ace Single Card: a King
(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)6♣7♦8♣Q♦A♥
2 to a Straight Flush: 9K Single Card: a King
(more)2♣3♦9♥K♥A♣
2 to a Straight Flush: 8T Single Card: a King
(more)2♣3♦8♥10♥K♣
2 to a Straight Flush: 8T Single Card: an Ace
(more)2♣3♣8♦10♦A♥
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♥
2 to a Royal Flush: JQ 4 to a Straight: 89JQ
(more)2♣8♣9♣J♦Q♦
2 to a Royal Flush: TK 3 to a Flush: 2TK
(more)2♣3♦4♦10♣K♣
2 to a Royal Flush: TK 3 to a Flush: 3TK
(more)2♣3♦4♣10♦K♦
2 to a Royal Flush: TK 3 to a Flush: 4TK
(more)2♣3♣4♦10♦K♦
2 to a Royal Flush: TK 3 to a Flush: 5TK
(more)2♣3♣5♦10♦K♦
2 to a Straight Flush: 79 Single Card: a King
(more)2♣3♦7♥9♥K♣
2 to a Royal Flush: TK 3 to a Flush: 6TK
(more)2♣3♣6♦10♦K♦
2 to a Royal Flush: TK 3 to a Flush: 7TK
(more)2♣3♣7♦10♦K♦
2 to a Royal Flush: TK 3 to a Flush: 8TK
(more)2♣3♣8♦10♦K♦
2 to a Royal Flush: TJ 4 to a Straight: 78TJ
(more)2♣7♣8♣10♦J♦
Single Card: a Jack 2 to a Straight Flush: 67
(more)2♣4♣6♦7♦J♥
Single Card: a Jack 2 to a Straight Flush: 78
(more)2♣5♣7♦8♦J♥
Single Card: an Eight Single Card: a Nine
(more)2♣3♦4♥8♠9♣
2 to a Straight Flush: A4 Single Card: an Ace
(more)4♣6♦7♥10♦A♣
2 to a Straight Flush: A5 Single Card: an Ace
(more)5♣6♦7♥10♦A♣
2 to a Straight Flush: A2 Single Card: an Ace
(more)2♣6♦7♥10♦A♣
2 to a Straight Flush: A3 Single Card: an Ace
(more)3♣6♦7♥10♦A♣
Single Card: a Seven Single Card: a Nine
(more)2♣3♦4♥7♠9♣
2 to a Straight Flush: A2 Single Card: a King
(more)2♣6♦7♥K♦A♣
2 to a Straight Flush: A3 Single Card: a King
(more)3♣6♦7♥K♦A♣
2 to a Straight Flush: A4 Single Card: a King
(more)4♣6♦7♥K♦A♣
2 to a Straight Flush: A5 Single Card: a King
(more)5♣6♦7♥K♦A♣
2 to a Straight Flush: 46 Single Card: a King
(more)2♣4♦6♦9♥K♣
2 to a Straight Flush: 79 Single Card: an Ace
(more)2♣3♦7♥9♥A♣
3 to a Flush: 2JK 2 to a Royal Flush: JK
(more)2♣3♦J♣Q♦K♣
3 to a Flush: 3JK 2 to a Royal Flush: JK
(more)2♣3♦J♦Q♣K♦
3 to a Flush: 4JK 2 to a Royal Flush: JK
(more)2♣4♦J♦Q♣K♦
3 to a Flush: 5JK 2 to a Royal Flush: JK
(more)2♣5♦J♦Q♣K♦
3 to a Flush: 6JK 2 to a Royal Flush: JK
(more)2♣6♦J♦Q♣K♦
3 to a Flush: 7JK 2 to a Royal Flush: JK
(more)2♣7♦J♦Q♣K♦
3 to a Flush: 8JK 2 to a Royal Flush: JK
(more)2♣8♦J♦Q♣K♦
3 to a Flush: 2QK 2 to a Royal Flush: QK
(more)2♣3♦J♦Q♣K♣
3 to a Flush: 3QK 2 to a Royal Flush: QK
(more)2♣3♦J♣Q♦K♦
3 to a Flush: 4QK 2 to a Royal Flush: QK
(more)2♣4♦J♣Q♦K♦
3 to a Flush: 5QK 2 to a Royal Flush: QK
(more)2♣5♦J♣Q♦K♦
3 to a Flush: 6QK 2 to a Royal Flush: QK
(more)2♣6♦J♣Q♦K♦
3 to a Flush: 7QK 2 to a Royal Flush: QK
(more)2♣7♦J♣Q♦K♦
3 to a Flush: 8QK 2 to a Royal Flush: QK
(more)2♣8♦J♣Q♦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♦
2 to a Straight Flush: 34 Single Card: a King
(more)3♣4♣7♦9♥K♦
2 to a Straight Flush: 35 Single Card: a King
(more)3♣5♣7♦9♥K♦
2 to a Straight Flush: 68 Single Card: an Ace
(more)2♣3♦6♥8♥A♣
Single Card: a Jack 2 to a Straight Flush: 89
(more)2♣6♣8♦9♦J♥
2 to a Straight Flush: 79 Single Card: a Queen
(more)2♣7♦9♦Q♣K♥
2 to a Straight Flush: 57 Single Card: a King
(more)2♣5♦7♦9♥K♣
2 to a Straight Flush: 46 Single Card: an Ace
(more)2♣4♦6♦9♥A♣
2 to a Straight Flush: 57 Single Card: an Ace
(more)2♣5♦7♦9♥A♣
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 King
(more)2♣3♦6♥8♥K♣
Single Card: a Ten 2 to a Straight Flush: 24
(more)2♣3♦4♣7♦10♥
Single Card: a Queen 2 to a Straight Flush: 45
(more)2♣4♦5♦7♣Q♥
Single Card: a Queen 2 to a Straight Flush: 56
(more)2♣5♦6♦7♣Q♥
Single Card: a Ten 2 to a Straight Flush: 23
(more)2♣3♣4♦7♥10♠
Single Card: a Five Single Card: a Nine
(more)2♣3♦5♥8♣9♦
2 to a Straight Flush: 68 Single Card: a Queen
(more)2♣6♦8♦Q♣K♥
2 to a Straight Flush: 34 Single Card: an Ace
(more)3♣4♣8♦9♥A♦
2 to a Straight Flush: 35 Single Card: an Ace
(more)3♣5♣8♦9♥A♦
2 to a Straight Flush: 9Q 2 to a Straight Flush: 45
(more)2♣4♦5♦9♥Q♥
Single Card: a Ten 2 to a Straight Flush: 47
(more)2♣4♦5♣7♦10♥
Single Card: a Queen 2 to a Straight Flush: 67
(more)3♣6♦7♦8♣Q♥
2 to a Straight Flush: 56 2 to a Straight Flush: 9Q
(more)5♣6♣9♦10♥Q♦
2 to a Royal Flush: TQ 4 to a Straight: 678T
(more)6♣7♣8♦10♥Q♥
2 to a Royal Flush: TQ 4 to a Straight: 679T
(more)6♣7♣9♦10♥Q♥
2 to a Royal Flush: JK 4 to a Straight: 789J
(more)7♣8♣9♦J♥K♥
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: 8J 2 to a Straight Flush: 45
(more)2♣4♦5♦8♥J♥
2 to a Straight Flush: 45 2 to a Straight Flush: 89
(more)4♣5♣8♦9♦10♥
2 to a Straight Flush: 35 2 to a Straight Flush: 7T
(more)2♣3♦5♦7♥10♥
2 to a Straight Flush: 45 2 to a Straight Flush: 9T
(more)4♣5♣8♦9♥10♥
Single Card: a Seven Single Card: a Five
(more)2♣3♦5♥7♠8♣
Single Card: an Eight Single Card: a Five
(more)2♣3♦5♥7♣8♠
Garbage: Discard everything Single Card: an Eight
(more)2♣3♦4♥7♣8♦
Single Card: a Seven Single Card: an Eight
(more)2♣3♦4♥7♠8♣
2 to a Straight Flush: 48 Single Card: a Nine
(more)2♣3♦4♥8♥9♣
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: 36
(more)2♣3♦6♦7♣10♥
Garbage: Discard everything 2 to a Straight Flush: 48
(more)2♣3♦4♥7♣8♥
2 to a Straight Flush: 23 2 to a Straight Flush: 7T
(more)2♣3♣7♦8♥10♦
2 to a Straight Flush: 24 2 to a Straight Flush: 7T
(more)2♣4♣7♦8♥10♦
2 to a Straight Flush: 25 2 to a Straight Flush: 7T
(more)2♣5♣7♦8♥10♦
2 to a Straight Flush: 56 2 to a Straight Flush: 9T
(more)5♣6♣9♦10♦Q♥
2 to a Straight Flush: 56 2 to a Straight Flush: 8J
(more)5♣6♣8♦10♥J♦
2 to a Straight Flush: 67 2 to a Straight Flush: 9Q
(more)6♣7♣9♦J♥Q♦
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: 45 3 to a Straight: 9TJ
(more)4♣5♣9♦10♦J♥
4 to a Straight: 89TJ 3 to a Straight Flush: 9TJ
(more)8♣8♦9♥10♥J♥
Garbage: Discard everything Single Card: a Five 2♣3♦5♥7♦8♣
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: 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: 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♥
2 to a Straight Flush: 67 2 to a Straight Flush: 8J 6♣7♣8♦J♦Q♥
2 to a Straight Flush: 78 2 to a Straight Flush: 9Q 7♣8♣9♦Q♦K♥
2 to a Straight Flush: 45 3 to a Straight: JQK 4♣5♣J♦Q♥K♠
2 to a Straight Flush: 56 3 to a Straight: JQK 5♣6♣J♦Q♥K♠
2 to a Straight Flush: 67 3 to a Straight: JQK 6♣7♣J♦Q♥K♠