# 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
Natural Royal Flush 800 459,185,352 0.000023 43,409.99 14.71 0.018429
Four Deuces 200 3,727,422,492 0.000187 5,347.73 7.41 0.037399
Wild Royal Flush 25 38,063,872,152 0.001910 523.68 1.10 0.047739
Five of a Kind 15 62,248,554,888 0.003123 320.22 0.61 0.046843
Straight Flush 9 98,332,654,416 0.004933 202.71 0.32 0.044398
Four of a Kind 4 1,222,397,808,492 0.061325 16.31 0.56 0.245298
Full House 4 522,037,487,616 0.026189 38.18 0.24 0.104757
Flush 3 407,582,410,776 0.020447 48.91 0.08 0.061342
Straight 2 1,145,240,154,576 0.057454 17.41 0.06 0.114908
Three of a Kind 1 5,342,453,299,236 0.268017 3.73 0.00 0.268017
Nothing 0 11,090,687,667,204 0.556392 1.80 0.54 0.000000
Totals 19,933,230,517,200 1.000000 2.25 25.62 0.989131

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
Natural Royal Flush 800 459,665,256 0.000023 43,364.67 14.72 0.018448
Four Deuces 200 3,724,965,300 0.000187 5,351.25 7.40 0.037374
Wild Royal Flush 25 38,065,828,056 0.001910 523.65 1.10 0.047742
Five of a Kind 15 62,249,941,080 0.003123 320.21 0.61 0.046844
Straight Flush 9 98,203,678,656 0.004927 202.98 0.32 0.044340
Four of a Kind 4 1,222,584,717,084 0.061334 16.30 0.56 0.245336
Full House 4 522,368,597,640 0.026206 38.16 0.24 0.104824
Flush 3 406,909,724,232 0.020414 48.99 0.08 0.061241
Straight 2 1,144,037,182,608 0.057393 17.42 0.06 0.114787
Three of a Kind 1 5,345,302,979,820 0.268160 3.73 0.00 0.268160
Nothing 0 11,089,323,237,468 0.556323 1.80 0.54 0.000000
Totals 19,933,230,517,200 1.000000 2.25 25.63 0.989096

The following tables show the basic strategy:

### Basic Strategy — No Wilds Dealt

Type of Play Play Details
Pat Hand Full House; Natural Royal Flush
4 to a Natural Royal Flush TJQA; TJQK; TJKA; TQKA; JQKA
4 of a Kind 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK; AAAA
Pat Hand Straight; Flush; Straight Flush
3 of a Kind 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
4 to a Straight Flush
(more)A345; 3456; 3457; 3467; 3567; 4567; 4568; 4578; 4678; 5678; 5679; 5689...
3 to a Natural Royal Flush TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Flush
(more)3458; 3459; 345T; 345J; 345Q; 345K; 346A; 3468; 3469; 346T; 346J; 346Q...
2 Pair
(more)3344; 3355; 3366; 3377; 3388; 3399; 33TT; 33JJ; 33QQ; 33KK; 33AA; 4455...
1 Pair 88; 99
3 to a Straight Flush 567
1 Pair 77; QQ; KK
3 to a Straight Flush 9TJ
1 Pair 66; JJ
3 to a Straight Flush 89T
1 Pair 44; 55; TT
3 to a Straight Flush 678; 789
1 Pair 33; AA
4 to a Straight 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush
(more)345; 346; 347; 356; 357; 367; 456; 457; 458; 467; 468; 478; 568; 569...
2 to a Natural Royal Flush TJ; TQ; JQ
4 to a Straight
(more)3456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789; 678T; 679T...
2 to a Natural Royal Flush TK; JK; QK
3 to a Straight Flush A34; A35; A45

### Basic Strategy — One Wild Dealt

Type of Play Play Details
Pat Hand Full House; Straight Flush; Five of a Kind; Wild Royal Flush
4 of a Kind W333; W444; W555; W666; W777; W888; W999; WTTT; WJJJ; WQQQ; WKKK; WAAA
4 to a Wild Royal Flush WTJA; WTJQ; WTJK; WTQA; WTQK; WTKA; WJQA; WJQK; WJKA; WQKA
Pat Hand Flush
4 to a Straight Flush
(more)W345; W456; W457; W467; W567; W568; W578; W678; W679; W689; W789; W78T...
Pat Hand Straight
3 of a Kind W33; W44; W55; W66; W77; W88; W99; WTT; WJJ; WQQ; WKK; WAA
4 to a Straight Flush
(more)WA34; WA35; WA45; W346; W347; W356; W357; W367; W458; W468; W478; W569...
3 to a Wild Royal Flush WTJ; WTQ; WTK; WJQ; WJK; WQK
3 to a Straight Flush W67; W78; W89; W9T
3 to a Wild Royal Flush WTA; WJA; WQA; WKA
3 to a Straight Flush W57; W68; W8T; W9J
3 to a Straight Flush W56; W79
4 to a Straight W567; W678; W789; W89T; W9TJ; WTJQ
Wild Only

### Basic Strategy — Two Wilds Dealt

Type of Play Play Details
Pat Hand Straight Flush; Five of a Kind; Wild Royal Flush
4 of a Kind WW33; WW44; WW55; WW66; WW77; WW88; WW99; WWTT; WWJJ; WWQQ; WWKK; WWAA
4 to a Wild Royal Flush WWTA; WWTJ; WWTQ; WWTK; WWJA; WWJQ; WWJK; WWQA; WWQK; WWKA
4 to a Straight Flush WW45; WW56; WW57; WW67; WW68; WW78; WW79; WW89; WW8T; WW9T; WW9J
Wilds Only

### Basic Strategy — Three Wilds Dealt

Type of Play Play Details
Pat Hand Five of a Kind; Wild Royal Flush
Wilds Only

### Basic Strategy — Four Wilds Dealt

Type of Play Play Details
Wilds Only

The following table shows the exceptions to the basic strategy:

### Basic Strategy Exceptions

Right Play Wrong Play Pattern(s)
3 to a Straight Flush: W45 Wild Only
(more)2♣4♣5♣8♦9♥
Garbage: Discard everything 2 to a Natural Royal Flush: QK
(more)3♣4♦10♣Q♦K♦
Wild Only 3 to a Straight Flush: W56
(more)2♣4♣5♦6♦10♦
Garbage: Discard everything 2 to a Natural Royal Flush: JK
(more)3♣4♦10♣J♦K♦
Wild Only 3 to a Straight Flush: W57
(more)2♣4♣5♦7♦10♦
Wild Only 3 to a Straight Flush: W68
(more)2♣3♣4♦6♣8♣
2 to a Straight Flush: 67 Garbage: Discard everything
(more)6♣7♣10♦J♥Q♠
2 to a Straight Flush: 9T Garbage: Discard everything
(more)3♣4♣5♦9♥10♥
Wild Only 4 to a Straight: W567
(more)2♣5♣6♦7♥A♣
2 to a Straight Flush: 78 Garbage: Discard everything
(more)3♣7♦8♦Q♣K♥
2 to a Natural Royal Flush: TA Garbage: Discard everything
(more)5♣7♣8♦10♥A♥
Garbage: Discard everything 2 to a Natural Royal Flush: TK
(more)3♣4♦10♣J♦K♣
Wild Only 3 to a Straight Flush: W79
(more)2♣3♣5♦7♣9♣
2 to a Straight Flush: 89 Garbage: Discard everything
(more)3♣4♣8♦9♦K♥
Wild Only 4 to a Straight: W678
(more)2♣3♣6♣7♦8♥
3 to a Straight Flush: 678 1 Pair: 66
(more)6♣6♦3♣7♦8♦
3 to a Straight Flush: 678 1 Pair: 77
(more)7♣7♦3♣6♦8♦
3 to a Straight Flush: 789 1 Pair: 77
(more)7♣7♦3♣8♦9♦
3 to a Straight Flush: 678 1 Pair: 88
(more)8♣8♦3♣6♦7♦
3 to a Straight Flush: 789 1 Pair: 88
(more)8♣8♦3♣7♦9♦
3 to a Straight Flush: 89T 1 Pair: 88
(more)8♣8♦3♣9♦10♦
3 to a Straight Flush: 789 1 Pair: 99
(more)9♣9♦3♣7♦8♦
3 to a Straight Flush: 89T 1 Pair: 99
(more)9♣9♦3♣8♦10♦
3 to a Straight Flush: 9TJ 1 Pair: 99
(more)9♣9♦3♣10♦J♦
4 to a Straight: W678 3 to a Straight Flush: W68
(more)2♣6♣7♦8♣J♣
4 to a Straight: W789 3 to a Straight Flush: W79
(more)2♣4♣7♣8♦9♣
Wild Only 3 to a Straight Flush: W9J
(more)2♣3♣8♦9♣J♣
4 to a Straight: W9TJ 3 to a Straight Flush: W9J
(more)2♣3♣9♣10♦J♣
2 to a Natural Royal Flush: JA Garbage: Discard everything
(more)6♣7♦8♥J♠A♠
4 to a Straight: W567 3 to a Straight Flush: W56
(more)2♣5♣6♣7♦10♣
4 to a Straight: W567 3 to a Straight Flush: W57
(more)2♣5♣6♦7♣10♣
4 to a Straight: W89T 3 to a Straight Flush: W8T
(more)2♣3♣8♣9♦10♣
2 to a Natural Royal Flush: TK 4 to a Straight: 678T
(more)6♣7♣8♦10♥K♥
1 Pair: 55 3 to a Straight Flush: 567
(more)5♣5♦4♣6♦7♦
1 Pair: 66 3 to a Straight Flush: 567
(more)6♣6♦4♣5♦7♦
1 Pair: 77 3 to a Straight Flush: 567
(more)7♣7♦4♣5♦6♦
1 Pair: TT 3 to a Straight Flush: 89T
(more)10♣10♦7♣8♦9♦
1 Pair: TT 3 to a Straight Flush: 9TJ
(more)10♣10♦8♣9♦J♦
1 Pair: JJ 3 to a Straight Flush: 9TJ
(more)J♣J♦8♣9♦10♦
Garbage: Discard everything 3 to a Straight Flush: A34
(more)3♣4♣5♦Q♦A♣
Garbage: Discard everything 3 to a Straight Flush: A35
(more)3♣4♦5♣Q♦A♣
Garbage: Discard everything 3 to a Straight Flush: A45
(more)3♣4♦5♦Q♣A♦
2 to a Natural Royal Flush: QA Garbage: Discard everything 7♣8♦9♥Q♠A♠
3 to a Straight Flush: 789 1 Pair: 44 4♣4♦7♥8♥9♥
3 to a Straight Flush: 678 1 Pair: JJ J♦J♣6♥7♥8♥
3 to a Straight Flush: 678 1 Pair: QQ Q♦Q♣6♥7♥8♥
3 to a Straight Flush: 789 1 Pair: QQ Q♦Q♣7♥8♥9♥
3 to a Straight Flush: 678 1 Pair: KK K♦K♣6♥7♥8♥
3 to a Straight Flush: 789 1 Pair: KK K♦K♣7♥8♥9♥
3 to a Straight Flush: 89T 1 Pair: KK K♦K♣8♥9♥10♥
1 Pair: 33 3 to a Straight Flush: 567 3♣3♦5♥6♥7♥
1 Pair: 44 3 to a Straight Flush: 567 4♣4♦5♥6♥7♥