# 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 800 501,972,216 0.000025 39,709.83 16.08 0.020146
Straight Flush 50 2,213,845,896 0.000111 9,003.89 0.27 0.005553
Four Aces with any 2,3,4 800 1,403,197,800 0.000070 14,205.57 44.94 0.056316
Four 2's, 3's, 4's with any A,2,3,4 400 3,439,324,716 0.000173 5,795.68 27.47 0.069017
Four Aces 160 2,964,773,160 0.000149 6,723.36 3.76 0.023798
Four 2's, 3's, 4's 80 6,377,519,040 0.000320 3,125.55 2.00 0.025596
Four 5's through K's 50 32,074,071,864 0.001609 621.47 3.87 0.080454
Full House 9 208,362,170,196 0.010453 95.67 0.67 0.094077
Flush 6 253,370,585,448 0.012711 78.67 0.32 0.076266
Straight 4 269,679,873,120 0.013529 73.91 0.12 0.054117
Three of a Kind 2 1,487,126,715,072 0.074605 13.40 0.08 0.149211
Two Pair 1 2,420,110,740,888 0.121411 8.24 0.00 0.121411
Jacks or Better 1 4,097,868,549,012 0.205580 4.86 0.00 0.205580
Nothing 0 11,147,737,178,772 0.559254 1.79 0.54 0.000000
Totals 19,933,230,517,200 1.000000 2.27 100.11 0.981540

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 800 519,976,380 0.000026 38,334.88 16.65 0.020869
Straight Flush 50 2,216,824,404 0.000111 8,991.79 0.27 0.005561
Four Aces with any 2,3,4 800 1,403,181,960 0.000070 14,205.73 44.94 0.056315
Four 2's, 3's, 4's with any A,2,3,4 400 3,439,236,636 0.000173 5,795.83 27.47 0.069015
Four Aces 160 2,970,344,256 0.000149 6,710.75 3.77 0.023842
Four 2's, 3's, 4's 80 6,377,454,384 0.000320 3,125.58 2.00 0.025595
Four 5's through K's 50 32,053,190,376 0.001608 621.88 3.86 0.080401
Full House 9 208,359,917,244 0.010453 95.67 0.67 0.094076
Flush 6 250,483,942,656 0.012566 79.58 0.32 0.075397
Straight 4 269,845,198,896 0.013537 73.87 0.12 0.054150
Three of a Kind 2 1,486,938,557,316 0.074596 13.41 0.08 0.149192
Two Pair 1 2,420,567,879,508 0.121434 8.23 0.00 0.121434
Jacks or Better 1 4,099,794,438,312 0.205676 4.86 0.00 0.205676
Nothing 0 11,148,260,374,872 0.559280 1.79 0.54 0.000000
Totals 19,933,230,517,200 1.000000 2.27 100.69 0.981524

The following table shows the basic strategy:

### Basic Strategy

Type of Play Play Details
Pat Hand
(more)Four 2's, 3's, 4's with any A,2,3,4; Four Aces with any 2,3,4; Straigh...
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 + 1 Kicker 2223; 2224; 222A; 3332; 3334; 333A; 4442; 4443; 444A; AAA2; AAA3; AAA4
3 of a Kind 222; 333; 444; AAA
Pat Hand Straight; Flush; Full House
3 of a Kind 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...
1 Pair AA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal Flush TJQ; TJK; TQK; JQA; JQK; JKA; QKA
1 Pair JJ; QQ; KK
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Royal Flush TJA; TQA; TKA
1 Pair 22; 33; 44
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush 9TJ; 9JQ
1 Pair 55; 66; 77; 88; 99; TT
4 to a Straight JQKA
3 to a Straight Flush 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal Flush JQ
4 to a Straight 9JQK; TJQA; TJKA; TQKA
2 to a Royal Flush JA; JK; QA; QK; KA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a Straight 89JQ; 8TJQ; 9TJK; 9TQK
Single Card an Ace
3 to a Straight TJQ; JQK
2 to a Royal Flush TJ
2 to a Straight JQ; JK; QK
3 to a Flush
(more)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26J; 26Q; 26K; 27J; 27Q...
2 to a Royal Flush TQ; TK
Single Card a Jack; a Queen; a King
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...
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...

The following table shows the exceptions to the basic strategy:

### Basic Strategy Exceptions

Right Play Wrong Play Pattern(s)
2 to a Straight: JK 2 to a Royal Flush: TJ
(more)2♣3♦10♣J♣K♦
3 to a Flush: 2JA 2 to a Royal Flush: JA
(more)2♣3♦J♣Q♦A♣
3 to a Flush: 3JA 2 to a Royal Flush: JA
(more)2♣3♦J♦Q♣A♦
3 to a Flush: 4JA 2 to a Royal Flush: JA
(more)2♣4♦J♦Q♣A♦
3 to a Flush: 5JA 2 to a Royal Flush: JA
(more)2♣5♦J♦Q♣A♦
3 to a Flush: 6JA 2 to a Royal Flush: JA
(more)2♣6♦J♦Q♣A♦
3 to a Flush: 7JA 2 to a Royal Flush: JA
(more)2♣7♦J♦Q♣A♦
3 to a Flush: 8JA 2 to a Royal Flush: JA
(more)2♣8♦J♦Q♣A♦
3 to a Flush: 9JA 2 to a Royal Flush: JA
(more)2♣9♦J♦Q♣A♦
3 to a Flush: 2QA 2 to a Royal Flush: QA
(more)2♣3♦J♦Q♣A♣
3 to a Flush: 3QA 2 to a Royal Flush: QA
(more)2♣3♦J♣Q♦A♦
3 to a Flush: 4QA 2 to a Royal Flush: QA
(more)2♣4♦J♣Q♦A♦
3 to a Flush: 5QA 2 to a Royal Flush: QA
(more)2♣5♦J♣Q♦A♦
3 to a Flush: 6QA 2 to a Royal Flush: QA
(more)2♣6♦J♣Q♦A♦
3 to a Flush: 7QA 2 to a Royal Flush: QA
(more)2♣7♦J♣Q♦A♦
3 to a Flush: 8QA 2 to a Royal Flush: QA
(more)2♣8♦J♣Q♦A♦
3 to a Flush: 9QA 2 to a Royal Flush: QA
(more)2♣9♦J♣Q♦A♦
3 to a Flush: 2KA 2 to a Royal Flush: KA
(more)2♣3♦J♦K♣A♣
3 to a Flush: 3KA 2 to a Royal Flush: KA
(more)2♣3♦J♣K♦A♦
3 to a Flush: 4KA 2 to a Royal Flush: KA
(more)2♣4♦J♣K♦A♦
3 to a Flush: 5KA 2 to a Royal Flush: KA
(more)2♣5♦J♣K♦A♦
3 to a Flush: 6KA 2 to a Royal Flush: KA
(more)2♣6♦J♣K♦A♦
3 to a Flush: 7KA 2 to a Royal Flush: KA
(more)2♣7♦J♣K♦A♦
3 to a Flush: 8KA 2 to a Royal Flush: KA
(more)2♣8♦J♣K♦A♦
3 to a Flush: 9KA 2 to a Royal Flush: KA
(more)2♣9♦J♣K♦A♦
4 to a Straight: 9JQK 2 to a Royal Flush: JQ
(more)2♣9♦J♣Q♣K♦
4 to a Straight: TJQA 2 to a Royal Flush: JQ
(more)2♣10♦J♣Q♣A♦
Single Card: a Jack 3 to a Flush: 26J
(more)2♣3♦4♦6♣J♣
Single Card: a Jack 3 to a Flush: 27J
(more)2♣3♦4♦7♣J♣
Single Card: a Jack 3 to a Flush: 37J
(more)2♣3♦4♣7♦J♦
Single Card: a Jack 3 to a Flush: 23J
(more)2♣3♣4♦6♦J♣
Single Card: a Jack 3 to a Flush: 24J
(more)2♣3♦4♣6♦J♣
Single Card: a Jack 3 to a Flush: 25J
(more)2♣3♦5♣6♦J♣
Single Card: a Jack 3 to a Flush: 36J
(more)2♣3♦4♣6♦J♦
Single Card: a Jack 3 to a Flush: 47J
(more)2♣3♣4♦7♦J♦
Single Card: a Jack 3 to a Flush: 57J
(more)2♣3♣5♦7♦J♦
Single Card: a Jack 3 to a Flush: 67J
(more)2♣3♣6♦7♦J♦
Single Card: a Jack 3 to a Flush: 34J
(more)2♣3♦4♦6♣J♦
Single Card: a Jack 3 to a Flush: 35J
(more)2♣3♦5♦6♣J♦
Single Card: a Jack 3 to a Flush: 46J
(more)2♣3♣4♦6♦J♦
Single Card: a Jack 3 to a Flush: 56J
(more)2♣3♣5♦6♦J♦
1 Pair: JJ 3 to a Royal Flush: TJK
(more)J♣J♦2♣10♣K♣
1 Pair: KK 3 to a Royal Flush: TJK
(more)K♣K♦2♣10♣J♣
1 Pair: QQ 3 to a Royal Flush: TQK
(more)Q♣Q♦2♣10♣K♣
1 Pair: KK 3 to a Royal Flush: TQK
(more)K♣K♦2♣10♣Q♣
Single Card: a Jack 3 to a Flush: 45J
(more)2♣4♦5♦6♣J♦
2 to a Straight Flush: 34 Garbage: Discard everything
(more)3♣4♣8♦9♦10♥
1 Pair: JJ 3 to a Royal Flush: JQA
(more)J♣J♦2♣Q♣A♣
1 Pair: QQ 3 to a Royal Flush: JQA
(more)Q♣Q♦2♣J♣A♣
1 Pair: JJ 3 to a Royal Flush: JKA
(more)J♣J♦2♣K♣A♣
1 Pair: KK 3 to a Royal Flush: JKA
(more)K♣K♦2♣J♣A♣
1 Pair: QQ 3 to a Royal Flush: QKA
(more)Q♣Q♦2♣K♣A♣
1 Pair: KK 3 to a Royal Flush: QKA
(more)K♣K♦2♣Q♣A♣
3 to a Straight Flush: 67T Single Card: a King
(more)2♣6♦7♦10♦K♣
3 to a Straight Flush: 68T Single Card: a King
(more)2♣6♦8♦10♦K♣
3 to a Straight Flush: 69T Single Card: a King
(more)2♣6♦9♦10♦K♣
3 to a Straight Flush: 569 Single Card: a King
(more)2♣5♦6♦9♦K♣
3 to a Straight Flush: 579 Single Card: a King
(more)2♣5♦7♦9♦K♣
3 to a Straight Flush: 589 Single Card: a King
(more)2♣5♦8♦9♦K♣
3 to a Flush: 2TQ 2 to a Royal Flush: TQ
(more)2♣8♦9♦10♣Q♣
3 to a Flush: 3TQ 2 to a Royal Flush: TQ
(more)3♣8♦9♦10♣Q♣
3 to a Flush: 4TQ 2 to a Royal Flush: TQ
(more)4♣8♦9♦10♣Q♣
3 to a Flush: 5TQ 2 to a Royal Flush: TQ
(more)5♣8♦9♦10♣Q♣
3 to a Flush: 6TQ 2 to a Royal Flush: TQ
(more)6♣8♦9♦10♣Q♣
3 to a Straight Flush: 8JQ 4 to a Straight: JQKA
(more)8♣J♣Q♣K♦A♦
Single Card: an Ace 3 to a Straight Flush: 235 2♣3♣5♣6♦A♥
Single Card: an Ace 3 to a Straight Flush: 245 2♣4♣5♣6♦A♥
4 to a Flush: 2JQA 3 to a Royal Flush: JQA
(more)2♣10♦J♣Q♣A♣
4 to a Flush: 3JQA 3 to a Royal Flush: JQA
(more)3♣10♦J♣Q♣A♣
4 to a Flush: 4JQA 3 to a Royal Flush: JQA
(more)4♣10♦J♣Q♣A♣
4 to a Flush: 5JQA 3 to a Royal Flush: JQA
(more)5♣10♦J♣Q♣A♣
4 to a Flush: 6JQA 3 to a Royal Flush: JQA
(more)6♣10♦J♣Q♣A♣
4 to a Flush: 7JQA 3 to a Royal Flush: JQA
(more)7♣10♦J♣Q♣A♣
4 to a Flush: 8JQA 3 to a Royal Flush: JQA
(more)8♣10♦J♣Q♣A♣
4 to a Flush: 9JQA 3 to a Royal Flush: JQA
(more)9♣10♦J♣Q♣A♣
4 to a Flush: 2JKA 3 to a Royal Flush: JKA
(more)2♣10♦J♣K♣A♣
4 to a Flush: 3JKA 3 to a Royal Flush: JKA
(more)3♣10♦J♣K♣A♣
4 to a Flush: 4JKA 3 to a Royal Flush: JKA
(more)4♣10♦J♣K♣A♣
4 to a Flush: 5JKA 3 to a Royal Flush: JKA
(more)5♣10♦J♣K♣A♣
4 to a Flush: 6JKA 3 to a Royal Flush: JKA
(more)6♣10♦J♣K♣A♣
4 to a Flush: 7JKA 3 to a Royal Flush: JKA
(more)7♣10♦J♣K♣A♣
4 to a Flush: 8JKA 3 to a Royal Flush: JKA
(more)8♣10♦J♣K♣A♣
4 to a Flush: 9JKA 3 to a Royal Flush: JKA
(more)9♣10♦J♣K♣A♣
4 to a Flush: 2QKA 3 to a Royal Flush: QKA
(more)2♣10♦Q♣K♣A♣
4 to a Flush: 3QKA 3 to a Royal Flush: QKA
(more)3♣10♦Q♣K♣A♣
4 to a Flush: 4QKA 3 to a Royal Flush: QKA
(more)4♣10♦Q♣K♣A♣
4 to a Flush: 5QKA 3 to a Royal Flush: QKA
(more)5♣10♦Q♣K♣A♣
4 to a Flush: 6QKA 3 to a Royal Flush: QKA
(more)6♣10♦Q♣K♣A♣
4 to a Flush: 7QKA 3 to a Royal Flush: QKA
(more)7♣10♦Q♣K♣A♣
4 to a Flush: 8QKA 3 to a Royal Flush: QKA
(more)8♣10♦Q♣K♣A♣
4 to a Flush: 9QKA 3 to a Royal Flush: QKA
(more)9♣10♦Q♣K♣A♣
3 to a Straight Flush: 236 Single Card: a King 2♣3♣6♣9♦K♦
3 to a Straight Flush: 246 Single Card: a King 2♣4♣6♣9♦K♦
3 to a Straight Flush: 256 Single Card: a King 2♣5♣6♣9♦K♦
3 to a Straight Flush: 347 Single Card: a King 3♣4♣7♣9♦K♦
3 to a Straight Flush: 357 Single Card: a King 3♣5♣7♣9♦K♦
3 to a Straight Flush: 367 Single Card: a King 3♣6♣7♣9♦K♦
3 to a Straight Flush: 458 Single Card: a King 4♣5♣8♣9♦K♦
3 to a Straight Flush: 468 Single Card: a King 4♣6♣8♣9♦K♦
3 to a Straight Flush: 478 Single Card: a King 4♣7♣8♣9♦K♦