# 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 679.4268 495,806,916 0.000025 40,203.62 11.45 0.016900
Straight Flush 54.4268 2,153,292,792 0.000108 9,257.09 0.31 0.005879
Four of a Kind 33.5934 47,532,366,324 0.002385 419.36 2.53 0.080106
Full House 20.2601 231,060,758,436 0.011592 86.27 4.30 0.234850
Flush 4.1667 192,721,187,592 0.009668 103.43 0.10 0.040285
Straight 3.3333 222,491,191,236 0.011162 89.59 0.06 0.037206
Three of a Kind 2.5 1,501,761,059,136 0.075340 13.27 0.17 0.188349
Two Pair 1.6667 2,601,233,025,624 0.130497 7.66 0.06 0.217500
Jacks or Better 0.8333 4,264,196,058,000 0.213924 4.67 0.01 0.178263
Nothing 0 10,869,585,771,144 0.545300 1.83 0.54 0.000000
Totals 19,933,230,517,200 1.000000 2.20 19.53 0.999337

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 679.4268 494,899,272 0.000025 40,277.35 11.43 0.016869
Straight Flush 54.4268 2,163,704,124 0.000109 9,212.55 0.31 0.005908
Four of a Kind 33.5934 47,541,657,420 0.002385 419.28 2.53 0.080122
Full House 20.2601 231,080,662,620 0.011593 86.26 4.30 0.234870
Flush 4.1667 192,911,677,764 0.009678 103.33 0.10 0.040325
Straight 3.3333 222,533,132,748 0.011164 89.57 0.06 0.037213
Three of a Kind 2.5 1,502,021,971,440 0.075353 13.27 0.17 0.188382
Two Pair 1.6667 2,601,402,550,200 0.130506 7.66 0.06 0.217514
Jacks or Better 0.8333 4,260,285,933,840 0.213728 4.68 0.01 0.178099
Nothing 0 10,872,794,327,772 0.545461 1.83 0.54 0.000000
Totals 19,933,230,517,200 1.000000 2.20 19.51 0.999301

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 Flush
4 to a Straight Flush 89TJ; 9TJQ
Pat Hand Straight
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)23JA; 23JQ; 23JK; 23QA; 23QK; 23KA; 24JA; 24JQ; 24JK; 24QA; 24QK; 24KA...
1 Pair 22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush 678; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
2 to a Royal Flush JQ
3 to a Straight Flush 345; 456; 567; 789
4 to a Straight JQKA
2 to a Royal Flush JA; JK; QA; QK; KA
4 to a Straight 9JQK; TJQA; TJKA; TQKA
3 to a Straight JQK
2 to a Straight JQ
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 457; 467; 568; 578; 689; 78T; 79T; 79J...
2 to a Straight JK; QK
2 to a Royal Flush TJ
3 to a Straight Flush 234; 235; 245; 346; 356; 679; 78J; 9TK
Single Card a Jack
2 to a Straight JA; QA; KA
2 to a Royal Flush TQ
Single Card a Queen; a King
Single Card 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 Straight: JA Single Card: a Jack
(more)2♣3♣4♦J♣A♦
Single Card: a Queen 2 to a Straight: QA
(more)2♣3♣4♦Q♥A♦
2 to a Royal Flush: TJ 2 to a Straight: JK
(more)2♣3♣10♦J♦K♣
Single Card: a Queen 2 to a Royal Flush: TQ
(more)2♣3♦8♣10♦Q♦
2 to a Royal Flush: TQ 2 to a Straight: QA
(more)2♣3♣10♦Q♦A♥
2 to a Royal Flush: JQ 3 to a Straight Flush: 8JQ
(more)2♣8♦9♣J♦Q♦
3 to a Straight Flush: 78J 2 to a Straight: JK
(more)2♣7♦8♦J♦K♣
2 to a Straight: JA 2 to a Royal Flush: TJ
(more)2♣9♦10♣J♣A♦
Single Card: a Jack 3 to a Straight Flush: A23
(more)2♣3♣4♦J♦A♣
Single Card: a Jack 3 to a Straight Flush: A24
(more)2♣3♦4♣J♦A♣
Single Card: a Jack 3 to a Straight Flush: A34
(more)2♣3♦4♦J♣A♦
Single Card: a Jack 3 to a Straight Flush: A25
(more)2♣3♦5♣J♦A♣
Single Card: a Jack 3 to a Straight Flush: A35
(more)2♣3♦5♦J♣A♦
Single Card: a Jack 3 to a Straight Flush: A45
(more)2♣4♦5♦J♣A♦
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♦
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 Queen 3 to a Straight Flush: 346
(more)2♣3♦4♦6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 356
(more)2♣3♦5♦6♦Q♥
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: QK 3 to a Straight Flush: 89Q
(more)8♣9♣10♦Q♣K♦
2 to a Straight: QK 3 to a Straight Flush: 8TQ
(more)8♣9♦10♣Q♣K♦
3 to a Straight Flush: 679 2 to a Straight: JQ 6♣7♣9♣J♦Q♥
3 to a Straight Flush: 689 2 to a Straight: JQ 6♣8♣9♣J♦Q♥
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: 679 2 to a Straight: JK 6♣7♣9♣J♦K♥
3 to a Straight Flush: 234 2 to a Straight: QK 2♣3♣4♣Q♦K♥
3 to a Straight Flush: 235 2 to a Straight: QK 2♣3♣5♣Q♦K♥
3 to a Straight Flush: 245 2 to a Straight: QK 2♣4♣5♣Q♦K♥
3 to a Straight Flush: 346 2 to a Straight: QK 3♣4♣6♣Q♦K♥
3 to a Straight Flush: 356 2 to a Straight: QK 3♣5♣6♣Q♦K♥
3 to a Straight Flush: 679 2 to a Straight: QK 6♣7♣9♣Q♦K♥
Single Card: a Queen 3 to a Straight Flush: 234 2♣3♣4♣6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 235 2♣3♣5♣6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 245 2♣4♣5♣6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 457 3♣4♦5♦7♦Q♥
Single Card: a Queen 3 to a Straight Flush: 467 3♣4♦6♦7♦Q♥
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♥
Single Card: a Jack 3 to a Straight Flush: 679 5♣6♦7♦9♦J♥
2 to a Royal Flush: TJ 3 to a Straight Flush: A23 2♣3♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Straight Flush: A24 2♣4♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Straight Flush: A34 3♣4♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Straight Flush: A25 2♣5♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Straight Flush: A35 3♣5♣10♦J♦A♣
2 to a Royal Flush: TJ 3 to a Straight Flush: A45 4♣5♣10♦J♦A♣