# 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 4,679.4268 496,305,888 0.000025 40,163.20 543.82 0.116510
Straight Flush 304.4268 2,143,572,384 0.000108 9,299.07 9.58 0.032737
Four of a Kind 158.5934 47,100,526,956 0.002363 423.21 55.08 0.374743
Full House 65.2601 229,508,185,644 0.011514 86.85 40.54 0.751395
Flush 29.1667 217,212,826,248 0.010897 91.77 5.89 0.317830
Straight 23.3333 223,941,963,936 0.011235 89.01 3.41 0.262140
Three of a Kind 17.5 1,484,312,753,916 0.074464 13.43 9.98 1.303124
Two Pair 11.6667 2,577,389,508,252 0.129301 7.73 4.27 1.508518
Jacks or Better 5.8333 4,287,366,472,464 0.215086 4.65 0.00 1.254663
Nothing 0 10,863,758,401,512 0.545007 1.83 19.11 0.000000
Totals 19,933,230,517,200 1.000000 2.20 691.68 5.921661

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 4,679.4268 492,132,996 0.000025 40,503.75 539.25 0.115531
Straight Flush 304.4268 2,143,226,664 0.000108 9,300.57 9.58 0.032732
Four of a Kind 158.5934 47,106,791,196 0.002363 423.15 55.08 0.374793
Full House 65.2601 229,524,253,884 0.011515 86.85 40.54 0.751447
Flush 29.1667 216,753,757,560 0.010874 91.96 5.88 0.317158
Straight 23.3333 223,590,983,316 0.011217 89.15 3.40 0.261730
Three of a Kind 17.5 1,484,506,013,460 0.074474 13.43 9.98 1.303294
Two Pair 11.6667 2,577,555,847,044 0.129309 7.73 4.27 1.508615
Jacks or Better 5.8333 4,292,900,747,388 0.215364 4.64 0.00 1.256283
Nothing 0 10,858,656,763,692 0.544751 1.84 19.10 0.000000
Totals 19,933,230,517,200 1.000000 2.20 687.09 5.921583

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
3 of a Kind 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat Hand Straight; Flush
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
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...
4 to a Straight TJQK
1 Pair 22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 to a Straight Flush 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ
4 to a Straight JQKA
3 to a Straight Flush 9JK; 9QK
2 to a Royal Flush JQ; JK; QK
3 to a Straight Flush 345; 456; 567; 678; 789; 89T
2 to a Royal Flush JA; QA; KA
4 to a Straight 9JQK; TJQA; TJKA; TQKA
3 to a Straight JQK
2 to a Straight JQ
3 to a Straight Flush A23; A24; A25; A34; A35; A45; 568; 578; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a Straight JK
2 to a Royal Flush TJ
3 to a Straight Flush 234; 235; 245; 346; 356; 457; 467; 679; 78T; 79T
2 to a Straight JA; QK
2 to a Straight QA; KA
2 to a Royal Flush TQ
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

The following table shows the exceptions to the basic strategy:

### Basic Strategy Exceptions

Right Play Wrong Play Pattern(s)
2 to a Royal Flush: TK Single Card: a King
(more)2♣3♣4♦10♥K♥
2 to a Royal Flush: TJ 2 to a Straight: JK
(more)2♣3♣10♦J♦K♣
2 to a Royal Flush: TQ 2 to a Straight: QA
(more)2♣3♣10♦Q♦A♥
2 to a Straight: JA 2 to a Royal Flush: TJ
(more)2♣8♦10♣J♣A♦
2 to a Royal Flush: JQ 3 to a Straight Flush: 8JQ
(more)2♣8♦9♣J♦Q♦
3 to a Straight Flush: 7TJ 2 to a Straight: JQ
(more)2♣7♦10♦J♦Q♣
2 to a Straight: JK 3 to a Straight Flush: 78J
(more)7♣8♣9♦J♣K♦
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: 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♣
2 to a Straight: JK 3 to a Straight Flush: 79J
(more)7♣8♦9♣J♣K♦
2 to a Straight: JK 3 to a Straight Flush: 7TJ
(more)7♣8♦10♣J♣K♦
3 to a Straight Flush: 78J 2 to a Straight: JQ 7♣8♣J♣Q♦A♥
3 to a Straight Flush: 79J 2 to a Straight: JQ 7♣9♣J♣Q♦A♥
3 to a Straight Flush: 234 2 to a Straight: JK 2♣3♣4♣J♦K♥
3 to a Straight Flush: 235 2 to a Straight: JK 2♣3♣5♣J♦K♥
3 to a Straight Flush: 245 2 to a Straight: JK 2♣4♣5♣J♦K♥
3 to a Straight Flush: 346 2 to a Straight: JK 3♣4♣6♣J♦K♥
3 to a Straight Flush: 356 2 to a Straight: JK 3♣5♣6♣J♦K♥
3 to a Straight Flush: 457 2 to a Straight: JK 4♣5♣7♣J♦K♥
3 to a Straight Flush: 467 2 to a Straight: JK 4♣6♣7♣J♦K♥
3 to a Straight Flush: 679 2 to a Straight: JK 6♣7♣9♣J♦K♥
Single Card: a Jack 3 to a Straight Flush: 568 4♣5♦6♦8♦J♥
Single Card: a Jack 3 to a Straight Flush: 578 4♣5♦7♦8♦J♥
3 to a Straight Flush: 789 2 to a Royal Flush: QK 7♣8♣9♣Q♦K♦