# 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 400.973 400,874,808 0.000020 49,724.33 3.22 0.008064
Straight Flush 25.973 2,086,388,376 0.000105 9,553.94 0.07 0.002719
Four Aces with any 2,3,4 200.974 1,071,008,508 0.000054 18,611.65 2.15 0.010798
Four 2's, 3's, 4's with any A,2,3,4 80.973 2,833,301,448 0.000142 7,035.34 0.91 0.011509
Four Aces 80.973 2,995,835,172 0.000150 6,653.65 0.96 0.012170
Four 2's, 3's, 4's 40.973 7,619,773,404 0.000382 2,615.99 0.61 0.015663
Four 5's through K's 25.73 32,253,727,068 0.001618 618.01 0.99 0.041633
Full House 6.919 224,842,877,280 0.011280 88.65 0.40 0.078045
Flush 4.933 254,223,632,016 0.012754 78.41 0.20 0.062914
Straight 3.946 303,270,147,408 0.015214 65.73 0.13 0.060036
Three of a Kind 2.473 1,455,137,298,264 0.073001 13.70 0.16 0.180530
Two Pair 1.2298 2,511,707,034,312 0.126006 7.94 0.01 0.154962
Jacks or Better 0.9865 4,005,062,943,624 0.200924 4.98 0.00 0.198211
Nothing 0.2433 11,129,725,675,512 0.558350 1.79 0.30 0.135847
Totals 19,933,230,517,200 1.000000 1.00 10.11 0.973101

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 400.973 405,987,852 0.000020 49,098.10 3.26 0.008167
Straight Flush 25.973 2,094,711,456 0.000105 9,515.98 0.07 0.002729
Four Aces with any 2,3,4 200.974 1,102,807,524 0.000055 18,074.99 2.21 0.011119
Four 2's, 3's, 4's with any A,2,3,4 80.973 2,838,643,596 0.000142 7,022.10 0.91 0.011531
Four Aces 80.973 3,060,549,312 0.000154 6,512.96 0.98 0.012433
Four 2's, 3's, 4's 40.973 7,619,779,596 0.000382 2,615.99 0.61 0.015663
Four 5's through K's 25.73 32,246,683,668 0.001618 618.15 0.99 0.041624
Full House 6.919 225,164,316,384 0.011296 88.53 0.40 0.078157
Flush 4.933 253,580,121,192 0.012721 78.61 0.20 0.062755
Straight 3.946 302,068,004,148 0.015154 65.99 0.13 0.059798
Three of a Kind 2.473 1,458,636,985,704 0.073176 13.67 0.16 0.180965
Two Pair 1.2298 2,515,948,102,296 0.126219 7.92 0.01 0.155224
Jacks or Better 0.9865 3,975,144,540,192 0.199423 5.01 0.00 0.196731
Nothing 0.2433 11,153,319,284,280 0.559534 1.79 0.30 0.136135
Totals 19,933,230,517,200 1.000000 1.00 10.24 0.973029

The following table shows the basic strategy:

### Basic Strategy

Type of Play Play Details
Pat Hand
(more)Four 5's through K's; Four 2's, 3's, 4's with any A,2,3,4; Four Ace...
4 of a Kind 2222; 3333; 4444; AAAA
4 to a Royal Flush TJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind AAA
Pat Hand Straight; Flush; Full House
3 of a Kind 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
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...
1 Pair JJ; QQ; KK; AA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Royal Flush TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
1 Pair 22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush 345; 456; 567; 678; 789; 89T; 9TJ; 9JQ
4 to a Straight JQKA
3 to a Straight Flush 8JQ; 9JK; 9QK
4 to a Straight 9JQK; TJQA; TQKA
3 to a Straight Flush 89J; 8TJ; 9TQ
4 to a Straight TJKA
2 to a Royal Flush JQ; JK; QK
4 to a Straight 89JQ; 8TJQ; 9TJK; 9TQK
3 to a Flush
(more)2JA; 2JK; 2QA; 2QK; 2KA; 3JA; 3JK; 3QA; 3QK; 3KA; 4JA; 4JK; 4QA; 4QK...
2 to a Royal Flush JA; QA; KA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a Straight TJQ; JQK
4 to a Straight A234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ
2 to a Straight JQ; JK; QK
2 to a Royal Flush TJ
Single Card an Ace
3 to a Flush
(more)23K; 24K; 25K; 26K; 27K; 28K; 29Q; 29K; 2TK; 34K; 35K; 36K; 37K; 38K...
2 to a Royal Flush TQ; TK
Single Card a Jack; a Queen; a King
3 to a Straight Flush 236; 256
4 to a Straight 4578; 5679; 5689; 5789; 678T; 679T; 689T
3 to a Straight Flush 569; 579; 589; 67T; 68T; 69T
4 to a Straight 2356; 2456; 3457; 3467; 3567; 4568
3 to a Straight Flush 246; 357; 458
4 to a Straight 4678
3 to a Straight Flush 347; 367; 468; 478
4 to a Straight 2346
3 to a Flush
(more)237; 238; 239; 23T; 23Q; 247; 248; 249; 24T; 24Q; 257; 258; 259; 25T...

The following table shows the exceptions to the basic strategy:

### Basic Strategy Exceptions

Right Play Wrong Play Pattern(s)
2 to a Straight: KA Single Card: an Ace
(more)2♣3♣6♦K♣A♦
2 to a Straight: QA Single Card: an Ace
(more)2♣3♣6♦Q♣A♦
2 to a Straight: JA Single Card: an Ace
(more)2♣3♣6♦J♣A♦
2 to a Royal Flush: TJ 2 to a Straight: JK
(more)2♣3♣10♦J♦K♣
Single Card: an Ace 2 to a Royal Flush: TJ
(more)2♣3♦10♣J♣A♥
Single Card: a Queen 3 to a Flush: 57Q
(more)2♣3♣5♦7♦Q♦
Single Card: a Queen 3 to a Flush: 67Q
(more)2♣3♣6♦7♦Q♦
Single Card: a Queen 3 to a Flush: 56Q
(more)2♣3♣5♦6♦Q♦
3 to a Flush: 28Q Single Card: a Queen
(more)2♣3♦8♣9♦Q♣
3 to a Flush: 38Q Single Card: a Queen
(more)2♣3♦8♦9♣Q♦
3 to a Flush: 48Q Single Card: a Queen
(more)2♣4♦8♦9♣Q♦
Single Card: a Queen 3 to a Flush: 29Q
(more)2♣3♦4♦9♣Q♣
Single Card: a Queen 3 to a Flush: 39Q
(more)2♣3♦4♣9♦Q♦
Single Card: a Queen 3 to a Flush: 49Q
(more)2♣3♣4♦9♦Q♦
Single Card: a Queen 3 to a Flush: 59Q
(more)2♣3♣5♦9♦Q♦
Single Card: a Queen 3 to a Flush: 69Q
(more)2♣3♣6♦9♦Q♦
Single Card: a Queen 3 to a Flush: 79Q
(more)2♣3♣7♦9♦Q♦
Single Card: a Queen 3 to a Flush: 58Q
(more)2♣3♣5♦8♦Q♦
Single Card: a Queen 3 to a Flush: 68Q
(more)2♣3♣6♦8♦Q♦
Single Card: a Queen 3 to a Flush: 78Q
(more)2♣3♣7♦8♦Q♦
3 to a Flush: 23Q Single Card: a Queen
(more)2♣3♣8♦9♦Q♣
3 to a Flush: 24Q Single Card: a Queen
(more)2♣4♣8♦9♦Q♣
3 to a Flush: 34Q Single Card: a Queen
(more)3♣4♣8♦9♦Q♣
3 to a Flush: 25Q Single Card: a Queen
(more)2♣5♣8♦9♦Q♣
3 to a Flush: 35Q Single Card: a Queen
(more)3♣5♣8♦9♦Q♣
3 to a Flush: 45Q Single Card: a Queen
(more)4♣5♣8♦9♦Q♣
3 to a Flush: 26Q Single Card: a Queen
(more)2♣6♣8♦9♦Q♣
3 to a Flush: 36Q Single Card: a Queen
(more)3♣6♣8♦9♦Q♣
3 to a Flush: 46Q Single Card: a Queen
(more)4♣6♣8♦9♦Q♣
3 to a Flush: 27Q Single Card: a Queen
(more)2♣7♣8♦9♦Q♣
3 to a Flush: 37Q Single Card: a Queen
(more)3♣7♣8♦9♦Q♣
3 to a Flush: 47Q Single Card: a Queen
(more)4♣7♣8♦9♦Q♣
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: 9TQK 2 to a Royal Flush: QK
(more)2♣9♦10♦Q♣K♣
2 to a Royal Flush: TQ Single Card: an Ace
(more)2♣3♦10♥Q♥A♣
4 to a Straight: 9TJK 2 to a Royal Flush: JK
(more)2♣9♦10♦J♣K♣
3 to a Flush: 2TQ 2 to a Royal Flush: TQ
(more)2♣3♦9♦10♣Q♣
3 to a Flush: 3TQ 2 to a Royal Flush: TQ
(more)2♣3♦9♣10♦Q♦
3 to a Flush: 4TQ 2 to a Royal Flush: TQ
(more)2♣4♦9♣10♦Q♦
3 to a Flush: 5TQ 2 to a Royal Flush: TQ
(more)2♣5♦9♣10♦Q♦
3 to a Flush: 6TQ 2 to a Royal Flush: TQ
(more)2♣6♦9♣10♦Q♦
3 to a Flush: 7TQ 2 to a Royal Flush: TQ
(more)2♣7♦9♣10♦Q♦
4 to a Straight: 2346 3 to a Straight Flush: 236
(more)2♣3♣4♦6♣8♦
4 to a Straight: 2356 3 to a Straight Flush: 236
(more)2♣3♣5♦6♣8♦
4 to a Straight: 2346 3 to a Straight Flush: 246
(more)2♣3♦4♣6♣8♦
4 to a Straight: 2356 3 to a Straight Flush: 256
(more)2♣3♦5♣6♣8♦
3 to a Flush: 29J Single Card: a Jack
(more)2♣3♦9♣10♦J♣
3 to a Flush: 39J Single Card: a Jack
(more)2♣3♦9♦10♣J♦
3 to a Flush: 49J Single Card: a Jack
(more)2♣4♦9♦10♣J♦
4 to a Straight: 2456 3 to a Straight Flush: 256
(more)2♣4♦5♣6♣9♦
4 to a Straight: 3467 3 to a Straight Flush: 236
(more)2♣3♣4♦6♣7♦
4 to a Straight: 3567 3 to a Straight Flush: 236
(more)2♣3♣5♦6♣7♦
4 to a Straight: 3567 3 to a Straight Flush: 256
(more)2♣3♦5♣6♣7♦
4 to a Straight: 4568 3 to a Straight Flush: 256
(more)2♣4♦5♣6♣8♦
3 to a Straight Flush: 357 4 to a Straight: 5789
(more)3♣5♣7♣8♦9♦
3 to a Straight Flush: 367 4 to a Straight: 678T
(more)3♣6♣7♣8♦10♦
3 to a Straight Flush: 367 4 to a Straight: 679T
(more)3♣6♣7♣9♦10♦
3 to a Straight Flush: 468 4 to a Straight: 689T
(more)4♣6♣8♣9♦10♦