# 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 800 380,054,100 0.000019 52,448.40 12.14 0.015253
Straight Flush 50 2,280,173,844 0.000114 8,741.98 0.26 0.005720
Four of a Kind 75 46,048,895,736 0.002310 432.87 12.30 0.173262
Full House 24 223,191,274,824 0.011197 89.31 5.40 0.268727
Flush 18 346,196,336,376 0.017368 57.58 4.43 0.312620
Straight 12 329,284,027,128 0.016519 60.54 1.64 0.198232
Three of a Kind 9 1,416,509,631,636 0.071063 14.07 3.45 0.639565
Two Pair 2 2,443,387,801,932 0.122579 8.16 0.00 0.245157
Jacks or Better 1 3,411,250,252,164 0.171134 5.84 0.18 0.171134
Nothing 0 11,714,702,069,460 0.587697 1.70 2.42 0.000000
Totals 19,933,230,517,200 1.000000 2.43 42.24 2.029669

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 800 379,249,164 0.000019 52,559.72 12.11 0.015221
Straight Flush 50 2,282,545,092 0.000115 8,732.90 0.26 0.005725
Four of a Kind 75 46,019,948,136 0.002309 433.14 12.29 0.173153
Full House 24 223,090,728,984 0.011192 89.35 5.40 0.268606
Flush 18 346,918,277,904 0.017404 57.46 4.44 0.313272
Straight 12 329,868,358,224 0.016549 60.43 1.65 0.198584
Three of a Kind 9 1,415,435,211,420 0.071009 14.08 3.45 0.639079
Two Pair 2 2,442,075,082,884 0.122513 8.16 0.00 0.245026
Jacks or Better 1 3,405,688,745,292 0.170855 5.85 0.18 0.170855
Nothing 0 11,721,472,370,100 0.588037 1.70 2.42 0.000000
Totals 19,933,230,517,200 1.000000 2.43 42.21 2.029521

The following table shows the basic strategy:

### Basic Strategy

Type of Play Play Details
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
Pat Hand Full House; Straight Flush; Royal Flush
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 Straight; Flush
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
1 Pair JJ; QQ; KK; AA
3 to a Royal Flush TJQ; TKA; JKA; QKA
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 9TJQ; TJQK
3 to a Royal Flush TJK; TQA; TQK; JQA; JQK
4 to a Straight 89TJ
3 to a Royal Flush TJA
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; 245; 345; 346; 356; 367; 456...
4 to a Straight TJQA; JQKA
3 to a Straight Flush 9JK; 9QK
4 to a Straight 9JQK; TQKA
4 to a Straight 89JQ; 8TJQ; 9TJK; 9TQK; TJKA
3 to a Straight Flush 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
3 to a Flush
(more)27Q; 27K; 28K; 29K; 2TK; 2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 38K; 39K; 3TK...
4 to a Straight A234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ
3 to a Straight Flush 236; 246; 256; 347; 357; 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)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26A; 26J; 26Q; 26K; 27A...
2 to a Royal Flush JQ; JK; QK
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...
3 to a Straight TJQ; JQK
2 to a Royal Flush TJ; TQ; TK; JA; QA; KA
3 to a Straight 9TJ; TQK
2 to a Royal Flush TA
2 to a Straight Flush 8J; 9J; 9Q
2 to a Straight JQ
3 to a Straight TJK
Single Card a Jack
Single Card a Queen
2 to a Straight Flush 9K
2 to a Straight Flush A2; A3; A4; A5
Single Card an Ace
Single Card a King
3 to a Straight 567; 678; 789; 89T
2 to a Straight Flush 67; 78; 89; 9T
3 to a Straight 345; 456
2 to a Straight Flush 45; 56; 58
2 to a Straight Flush 79; 8T
2 to a Straight Flush 34; 35; 46; 47; 57; 68; 7T
2 to a Straight Flush 23; 24; 25; 36
2 to a Straight Flush 69
Single Card a Ten
Single Card a Nine
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: an Ace Single Card: a Queen
(more)6♣7♣8♦Q♦A♥
Single Card: a King Single Card: a Queen
(more)2♣3♣8♦Q♦K♥
Single Card: a Jack 3 to a Straight: TJK
(more)2♣3♣10♦J♥K♠
Single Card: an Ace 2 to a Straight Flush: A2
(more)2♣3♦6♦7♥A♣
Single Card: an Ace 2 to a Straight Flush: A3
(more)2♣3♦6♣7♥A♦
Single Card: an Ace 2 to a Straight Flush: A5
(more)2♣5♦6♣7♥A♦
Single Card: an Ace 2 to a Straight Flush: A4
(more)2♣4♦6♣7♥A♦
Single Card: a Jack 2 to a Straight: JQ
(more)2♣3♣9♦J♥Q♠
Single Card: a King 2 to a Straight Flush: 9K
(more)2♣3♣9♦10♥K♦
Single Card: a King 2 to a Straight Flush: A5
(more)2♣5♦6♣K♥A♦
Single Card: a King 2 to a Straight Flush: A4
(more)2♣4♦6♣K♥A♦
Single Card: a King 2 to a Straight Flush: A3
(more)2♣3♦6♣K♥A♦
Single Card: a King 2 to a Straight Flush: A2
(more)2♣3♦6♦K♥A♣
Single Card: an Ace 2 to a Straight Flush: 9K
(more)2♣3♣9♦K♦A♥
3 to a Straight: 9JQ 2 to a Straight: JQ
(more)2♣9♣J♦Q♥A♠
Single Card: a Nine Single Card: a Ten
(more)2♣3♦4♥9♠10♣
Single Card: an Eight Single Card: a Ten
(more)2♣3♦4♥8♠10♣
Garbage: Discard everything Single Card: a Nine
(more)2♣3♦5♥7♣9♦
2 to a Straight: JQ 2 to a Straight Flush: 8J
(more)2♣7♣8♦J♦Q♥
Single Card: a Seven Single Card: a Ten
(more)2♣3♦4♥7♠10♣
2 to a Straight Flush: 8Q Single Card: a Queen
(more)2♣8♦Q♦K♣A♥
Single Card: an Eight Single Card: a Nine
(more)2♣3♦4♥8♠9♣
2 to a Straight Flush: 9T Single Card: an Ace
(more)2♣3♣9♦10♦A♥
Single Card: a Six Single Card: a Ten
(more)2♣3♦6♥8♣10♦
2 to a Straight Flush: 89 Single Card: a King
(more)2♣3♦8♥9♥K♣
2 to a Straight Flush: 9T Single Card: a King
(more)2♣3♦9♥10♥K♣
2 to a Straight Flush: 89 Single Card: an Ace
(more)2♣3♣8♦9♦A♥
Single Card: a Seven Single Card: a Nine
(more)2♣3♦4♥7♠9♣
Single Card: a Five Single Card: a Ten
(more)2♣5♦7♥8♠10♣
Single Card: a Ten 2 to a Straight Flush: 25
(more)2♣3♦5♣7♦10♥
Garbage: Discard everything Single Card: an Eight
(more)2♣3♦4♥7♣8♦
Single Card: an Ace Single Card: a Jack
(more)6♣8♦9♦J♣A♥
2 to a Straight Flush: A2 Single Card: a Queen
(more)2♣8♦9♥Q♦A♣
2 to a Straight Flush: A3 Single Card: a Queen
(more)3♣8♦9♥Q♦A♣
2 to a Straight Flush: A4 Single Card: a Queen
(more)4♣8♦9♥Q♦A♣
2 to a Straight Flush: A5 Single Card: a Queen
(more)5♣8♦9♥Q♦A♣
2 to a Straight Flush: 78 Single Card: an Ace
(more)2♣3♣7♦8♦A♥
Single Card: a Ten 2 to a Straight Flush: 24
(more)2♣3♦4♣7♦10♥
Single Card: a Seven Single Card: an Eight
(more)2♣3♦4♥7♠8♣
2 to a Straight Flush: 78 Single Card: a Queen
(more)2♣7♦8♦Q♣K♥
Single Card: a Ten 2 to a Straight Flush: 23
(more)2♣3♣4♦7♥10♠
2 to a Straight Flush: 45 Single Card: a King
(more)4♣5♣8♦9♥K♦
2 to a Straight Flush: 89 2 to a Straight Flush: A2
(more)2♣3♦8♥9♥A♣
2 to a Straight Flush: 89 2 to a Straight Flush: A3
(more)2♣3♦8♥9♥A♦
2 to a Straight Flush: 89 2 to a Straight Flush: A4
(more)2♣4♦8♥9♥A♦
Single Card: a Ten 2 to a Straight Flush: 47
(more)2♣4♦5♣7♦10♥
2 to a Straight Flush: 45 3 to a Straight: 89T
(more)4♣5♣8♦9♦10♥
2 to a Straight Flush: 78 2 to a Straight Flush: A2
(more)2♣3♦7♥8♥A♣
2 to a Straight Flush: 9T 2 to a Straight Flush: A2
(more)2♣3♦9♥10♥A♣
2 to a Straight Flush: 78 2 to a Straight Flush: A3
(more)2♣3♦7♥8♥A♦
2 to a Straight Flush: 9T 2 to a Straight Flush: A3
(more)2♣3♦9♥10♥A♦
2 to a Straight Flush: 9T 2 to a Straight Flush: A4
(more)2♣4♦9♥10♥A♦
2 to a Straight Flush: 89 2 to a Straight Flush: A5
(more)2♣5♦8♥9♥A♦
2 to a Straight Flush: 9T 2 to a Straight Flush: A5
(more)2♣5♦9♥10♥A♦
2 to a Straight Flush: 34 2 to a Straight Flush: 7T
(more)2♣3♦4♦7♥10♥
2 to a Straight Flush: 35 2 to a Straight Flush: 7T
(more)2♣3♦5♦7♥10♥
Single Card: a Five Single Card: a Nine
(more)2♣3♦5♥8♣9♦
Single Card: a Six Single Card: a Nine
(more)2♣3♦6♥8♣9♦
Garbage: Discard everything Single Card: a Ten
(more)2♣3♦6♥9♣10♥
2 to a Straight Flush: 67 Single Card: a Queen
(more)2♣6♦7♦Q♣K♥
2 to a Straight Flush: 78 Single Card: a King
(more)2♣3♦7♥8♥K♣
2 to a Straight Flush: 56 Single Card: an Ace
(more)5♣6♣9♦10♥A♦
2 to a Straight Flush: 67 Single Card: an Ace
(more)2♣6♦7♦K♣A♥
2 to a Straight Flush: 67 2 to a Straight Flush: A2
(more)2♣3♦6♥7♥A♣
2 to a Straight Flush: 78 2 to a Straight Flush: A4
(more)2♣4♦7♥8♥A♦
Single Card: a Ten 2 to a Straight Flush: 36
(more)2♣3♦6♦7♣10♥
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♦
3 to a Straight Flush: 347 4 to a Straight: A234
(more)2♣3♦4♦7♦A♣
3 to a Straight Flush: 357 4 to a Straight: A235
(more)2♣3♦5♦7♦A♣
3 to a Straight Flush: 579 4 to a Straight: 79TJ
(more)5♣7♣9♣10♦J♦
3 to a Straight Flush: 589 4 to a Straight: 89TQ
(more)5♣8♣9♣10♦Q♦
2 to a Straight Flush: 56 Single Card: a King 2♣5♦6♦10♥K♣
2 to a Straight Flush: 67 Single Card: a King 2♣6♦7♦10♥K♣
2 to a Straight Flush: 45 Single Card: an Ace 4♣5♣9♦10♥A♦
2 to a Straight Flush: 56 2 to a Straight Flush: A2 2♣5♦6♦10♥A♣
2 to a Straight Flush: 67 2 to a Straight Flush: A3 2♣3♦6♥7♥A♦
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: 46 2 to a Straight Flush: 7T 2♣4♦6♦7♥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: A2 2 to a Straight Flush: 9K 2♣9♦10♥K♦A♣
2 to a Straight Flush: A3 2 to a Straight Flush: 9K 3♣9♦10♥K♦A♣
2 to a Straight Flush: A4 2 to a Straight Flush: 9K 4♣9♦10♥K♦A♣
2 to a Straight Flush: 45 2 to a Straight Flush: 9K 4♣5♣9♦10♥K♦
2 to a Straight Flush: A5 2 to a Straight Flush: 9K 5♣9♦10♥K♦A♣
2 to a Straight Flush: 56 2 to a Straight Flush: 9K 5♣6♣9♦10♥K♦