# 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 800 491,854,620 0.000025 40,526.67 15.75 0.019740
Straight Flush 50 2,154,468,204 0.000108 9,252.04 0.26 0.005404
Four of a Kind 80 49,643,712,420 0.002491 401.53 15.56 0.199240
Full House 6 163,847,257,956 0.008220 121.66 0.21 0.049319
Flush 5 216,500,514,576 0.010861 92.07 0.18 0.054306
Straight 4 260,261,261,016 0.013057 76.59 0.12 0.052227
Three of a Kind 3 1,559,233,151,448 0.078223 12.78 0.33 0.234668
Two Pair 1 2,172,335,996,736 0.108981 9.18 0.00 0.108981
Jacks or Better 1 4,579,168,127,832 0.229725 4.35 0.00 0.229725
Nothing 0 10,929,594,172,392 0.548310 1.82 0.50 0.000000
Totals 19,933,230,517,200 1.000000 2.21 32.91 0.953611

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 800 488,386,584 0.000025 40,814.45 15.64 0.019601
Straight Flush 50 2,147,458,344 0.000108 9,282.24 0.26 0.005387
Four of a Kind 80 49,651,909,596 0.002491 401.46 15.56 0.199273
Full House 6 163,877,843,340 0.008221 121.63 0.21 0.049328
Flush 5 215,955,275,952 0.010834 92.30 0.18 0.054170
Straight 4 259,266,281,952 0.013007 76.88 0.12 0.052027
Three of a Kind 3 1,559,609,956,836 0.078242 12.78 0.33 0.234725
Two Pair 1 2,172,925,399,284 0.109010 9.17 0.00 0.109010
Jacks or Better 1 4,586,175,649,836 0.230077 4.35 0.00 0.230077
Nothing 0 10,923,132,355,476 0.547986 1.82 0.50 0.000000
Totals 19,933,230,517,200 1.000000 2.21 32.80 0.953597

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 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...
1 Pair JJ; QQ; KK; AA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 3344; 3355; 3366; 3377...
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 9TJQ; TJQK
1 Pair 22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush 9JQ
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; JQKA
3 to a Straight Flush 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JK; 9QK
2 to a Royal Flush JQ; JK
3 to a Straight Flush 345; 456; 567; 678; 789
2 to a Royal Flush QK
4 to a Straight TJQA; TQKA
4 to a Straight 8TJQ; 9TJK; 9TQK; 9JQK; TJKA
2 to a Royal Flush JA; QA; KA
3 to a Straight JQK
4 to a Straight 89JQ
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 568; 578; 679; 689; 78T; 78J; 79T; 79J...
2 to a Straight JQ
3 to a Straight Flush 234; 235; 245; 346; 356; 457; 467
2 to a Straight JK; QK
2 to a Straight QA; KA
2 to a Royal Flush TJ; TQ
2 to a Straight JA
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
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
Garbage Discard everything

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♦
4 to a Straight: 9JQK 2 to a Royal Flush: JK
(more)2♣9♦J♣Q♦K♣
4 to a Straight: TJKA 2 to a Royal Flush: JK
(more)2♣10♦J♣K♣A♦
4 to a Straight: 9JQK 2 to a Royal Flush: QK
(more)2♣9♦J♦Q♣K♣
4 to a Straight: TQKA 2 to a Royal Flush: QK
(more)2♣10♦Q♣K♣A♦
Single Card: a Queen 2 to a Royal Flush: TQ
(more)2♣8♦9♦10♣Q♣
3 to a Straight Flush: 689 4 to a Straight: 89JQ 6♣8♣9♣J♦Q♥
3 to a Straight Flush: 79T 4 to a Straight: 9TQK 7♣9♣10♣Q♦K♥
3 to a Straight Flush: 345 2 to a Royal Flush: JK 3♣4♣5♣J♦K♦
3 to a Straight Flush: 456 2 to a Royal Flush: JK 4♣5♣6♣J♦K♦
3 to a Straight Flush: 567 2 to a Royal Flush: JK 5♣6♣7♣J♦K♦
3 to a Straight Flush: 678 2 to a Royal Flush: JK 6♣7♣8♣J♦K♦