# 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 800 496,237,776 0.000025 40,168.71 15.89 0.019916
Straight Flush 50 2,137,447,980 0.000107 9,325.71 0.26 0.005362
Four of a Kind 25 47,100,799,404 0.002363 423.20 1.36 0.059073
Full House 9 229,510,637,676 0.011514 86.85 0.74 0.103626
Flush 5 217,120,426,644 0.010892 91.81 0.18 0.054462
Straight 4 223,861,063,908 0.011231 89.04 0.10 0.044922
Three of a Kind 3 1,484,332,642,620 0.074465 13.43 0.30 0.223396
Two Pair 2 2,577,431,192,796 0.129303 7.73 0.13 0.258606
Jacks or Better 1 4,288,342,040,640 0.215135 4.65 0.00 0.215135
Nothing 0 10,862,898,027,756 0.544964 1.83 0.53 0.000000
Totals 19,933,230,517,200 1.000000 2.20 19.50 0.984498

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 800 492,184,080 0.000025 40,499.54 15.76 0.019753
Straight Flush 50 2,137,045,500 0.000107 9,327.47 0.26 0.005361
Four of a Kind 25 47,107,165,812 0.002363 423.15 1.36 0.059081
Full House 9 229,527,625,428 0.011515 86.84 0.74 0.103633
Flush 5 216,641,883,600 0.010868 92.01 0.18 0.054342
Straight 4 223,521,304,740 0.011214 89.18 0.10 0.044854
Three of a Kind 3 1,484,533,360,428 0.074475 13.43 0.30 0.223426
Two Pair 2 2,577,613,163,292 0.129312 7.73 0.13 0.258625
Jacks or Better 1 4,293,766,859,580 0.215407 4.64 0.00 0.215407
Nothing 0 10,857,889,924,740 0.544713 1.84 0.53 0.000000
Totals 19,933,230,517,200 1.000000 2.20 19.37 0.984482

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 JA; JQ; JK; QK
3 to a Straight Flush 456; 567; 678; 789; 89T
2 to a Royal Flush QA; KA
3 to a Straight Flush 345
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; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a Straight JK
3 to a Straight Flush 78T; 79T
2 to a Royal Flush TJ
2 to a Straight QK
3 to a Straight Flush 234; 235; 245; 346; 356; 457; 467; 568; 578; 679
2 to a Straight JA; 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♦
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: 679 2 to a Straight: JK 6♣7♣9♣J♦K♥
3 to a Straight Flush: 679 2 to a Straight: QK 6♣7♣9♣Q♦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: 578 2 to a Royal Flush: TJ 5♣7♣8♣10♦J♦
3 to a Straight Flush: 456 2 to a Royal Flush: JA 4♣5♣6♣J♦A♦
3 to a Straight Flush: 567 2 to a Royal Flush: JA 5♣6♣7♣J♦A♦
3 to a Straight Flush: 678 2 to a Royal Flush: JA 6♣7♣8♣J♦A♦