# 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 800 493,512,264 0.000025 40,390.55 15.81 0.019807
Straight Flush 50 2,178,883,296 0.000109 9,148.37 0.26 0.005465
Four Aces 25 3,900,253,596 0.000196 5,110.75 0.11 0.004892
Four 2's, 3's, 4's 25 10,509,511,320 0.000527 1,896.68 0.30 0.013181
Four 5's through K's 25 32,683,402,848 0.001640 609.89 0.94 0.040991
Full House 9 229,475,482,596 0.011512 86.86 0.74 0.103610
Flush 6 219,554,786,160 0.011015 90.79 0.28 0.066087
Straight 4 223,837,565,784 0.011229 89.05 0.10 0.044917
Three of a Kind 3 1,484,003,070,324 0.074449 13.43 0.30 0.223346
Two Pair 2 2,576,946,164,148 0.129279 7.74 0.13 0.258558
Jacks or Better 1 4,277,372,890,968 0.214585 4.66 0.00 0.214585
Nothing 0 10,872,274,993,896 0.545435 1.83 0.54 0.000000
Totals 19,933,230,517,200 1.000000 2.20 19.51 0.995439

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 800 501,787,872 0.000025 39,724.42 16.07 0.020139
Straight Flush 50 2,182,408,092 0.000109 9,133.59 0.26 0.005474
Four Aces 25 3,899,476,500 0.000196 5,111.77 0.11 0.004891
Four 2's, 3's, 4's 25 10,509,381,288 0.000527 1,896.71 0.30 0.013181
Four 5's through K's 25 32,682,758,880 0.001640 609.90 0.94 0.040990
Full House 9 229,472,668,332 0.011512 86.87 0.74 0.103609
Flush 6 218,710,850,616 0.010972 91.14 0.27 0.065833
Straight 4 223,980,621,108 0.011237 89.00 0.10 0.044946
Three of a Kind 3 1,484,028,486,936 0.074450 13.43 0.30 0.223350
Two Pair 2 2,577,124,786,320 0.129288 7.73 0.13 0.258576
Jacks or Better 1 4,274,501,705,460 0.214441 4.66 0.00 0.214441
Nothing 0 10,875,635,585,796 0.545603 1.83 0.54 0.000000
Totals 19,933,230,517,200 1.000000 2.20 19.78 0.995429

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 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
2 to a Royal Flush JQ
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 Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a Straight JQK
2 to a Straight JQ; QK
2 to a Royal Flush TJ; TQ
2 to a Straight JK; QA
2 to a Straight JA; KA
2 to a Royal Flush TK
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 Straight: QA 2 to a Royal Flush: TQ
(more)2♣3♦10♣Q♣A♦
Single Card: a King 2 to a Royal Flush: TK
(more)2♣3♦9♣10♦K♦
2 to a Straight: JK 2 to a Royal Flush: TJ
(more)2♣3♦10♣J♣K♦
4 to a Straight: JQKA 2 to a Royal Flush: JQ
(more)2♣J♣Q♣K♦A♦
4 to a Flush: 2TJA 3 to a Royal Flush: TJA
(more)10♣10♦2♣J♣A♣
4 to a Flush: 3TJA 3 to a Royal Flush: TJA
(more)10♣10♦3♣J♣A♣
4 to a Flush: 4TJA 3 to a Royal Flush: TJA
(more)10♣10♦4♣J♣A♣
4 to a Flush: 5TJA 3 to a Royal Flush: TJA
(more)10♣10♦5♣J♣A♣
4 to a Flush: 6TJA 3 to a Royal Flush: TJA
(more)10♣10♦6♣J♣A♣
4 to a Flush: 7TJA 3 to a Royal Flush: TJA
(more)10♣10♦7♣J♣A♣
4 to a Flush: 8TJA 3 to a Royal Flush: TJA
(more)10♣10♦8♣J♣A♣
4 to a Flush: 9TJA 3 to a Royal Flush: TJA
(more)10♣10♦9♣J♣A♣
4 to a Flush: 2TQA 3 to a Royal Flush: TQA
(more)10♣10♦2♣Q♣A♣
4 to a Flush: 3TQA 3 to a Royal Flush: TQA
(more)10♣10♦3♣Q♣A♣
4 to a Flush: 4TQA 3 to a Royal Flush: TQA
(more)10♣10♦4♣Q♣A♣
4 to a Flush: 5TQA 3 to a Royal Flush: TQA
(more)10♣10♦5♣Q♣A♣
4 to a Flush: 6TQA 3 to a Royal Flush: TQA
(more)10♣10♦6♣Q♣A♣
4 to a Flush: 7TQA 3 to a Royal Flush: TQA
(more)10♣10♦7♣Q♣A♣
4 to a Flush: 8TQA 3 to a Royal Flush: TQA
(more)10♣10♦8♣Q♣A♣
4 to a Flush: 9TQA 3 to a Royal Flush: TQA
(more)10♣10♦9♣Q♣A♣
4 to a Flush: 2TKA 3 to a Royal Flush: TKA
(more)10♣10♦2♣K♣A♣
4 to a Flush: 3TKA 3 to a Royal Flush: TKA
(more)10♣10♦3♣K♣A♣
4 to a Flush: 4TKA 3 to a Royal Flush: TKA
(more)10♣10♦4♣K♣A♣
4 to a Flush: 5TKA 3 to a Royal Flush: TKA
(more)10♣10♦5♣K♣A♣
4 to a Flush: 6TKA 3 to a Royal Flush: TKA
(more)10♣10♦6♣K♣A♣
4 to a Flush: 7TKA 3 to a Royal Flush: TKA
(more)10♣10♦7♣K♣A♣
4 to a Flush: 8TKA 3 to a Royal Flush: TKA
(more)10♣10♦8♣K♣A♣
4 to a Flush: 9TKA 3 to a Royal Flush: TKA
(more)10♣10♦9♣K♣A♣
3 to a Straight Flush: 79J 4 to a Straight: 9JQK 7♣9♣J♣Q♦K♥
3 to a Straight Flush: 7TJ 4 to a Straight: TJQA 7♣10♣J♣Q♦A♥
3 to a Straight Flush: 7TJ 4 to a Straight: TJKA 7♣10♣J♣K♦A♥
3 to a Straight Flush: 8TQ 4 to a Straight: TQKA 8♣10♣Q♣K♦A♥