# 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 940 455,737,800 0.000023 43,738.37 20.16 0.021491
Four Deuces 400 4,032,535,356 0.000202 4,943.10 32.21 0.080921
Wild Royal Flush 25 35,047,361,496 0.001758 568.75 1.01 0.043956
Five of a Kind 16 61,938,178,824 0.003107 321.82 0.70 0.049717
Straight Flush 13 103,447,803,408 0.005190 192.69 0.75 0.067466
Four of a Kind 4 1,272,300,988,752 0.063828 15.67 0.57 0.255313
Full House 3 419,147,435,916 0.021028 47.56 0.08 0.063083
Flush 2 335,191,941,888 0.016816 59.47 0.02 0.033631
Straight 2 1,113,061,260,912 0.055839 17.91 0.05 0.111679
Three of a Kind 1 5,620,512,091,704 0.281967 3.55 0.00 0.281967
Nothing 0 10,968,095,181,144 0.550242 1.82 0.56 0.000000
Totals 19,933,230,517,200 1.000000 2.22 56.11 1.009224

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 940 459,699,276 0.000023 43,361.46 20.33 0.021678
Four Deuces 400 4,027,201,464 0.000202 4,949.65 32.16 0.080814
Wild Royal Flush 25 35,152,563,288 0.001764 567.05 1.02 0.044088
Five of a Kind 16 61,896,474,816 0.003105 322.04 0.70 0.049683
Straight Flush 13 103,655,144,172 0.005200 192.30 0.75 0.067602
Four of a Kind 4 1,271,136,831,756 0.063770 15.68 0.57 0.255079
Full House 3 419,046,048,828 0.021022 47.57 0.08 0.063067
Flush 2 335,934,018,720 0.016853 59.34 0.02 0.033706
Straight 2 1,113,225,776,376 0.055848 17.91 0.05 0.111695
Three of a Kind 1 5,616,379,228,044 0.281760 3.55 0.00 0.281760
Nothing 0 10,972,317,530,460 0.550454 1.82 0.56 0.000000
Totals 19,933,230,517,200 1.000000 2.22 56.24 1.009172

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
Pat Hand Straight Flush
4 of a Kind 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK; AAAA
4 to a Straight Flush 4567; 5678; 6789; 789T; 89TJ; 9TJQ
Pat Hand 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; 4568; 4578; 4678; 5679; 5689; 5789; 678T...
3 to a Natural Royal Flush TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
3 to a Straight Flush 567; 678; 789; 89T; 9TJ
1 Pair 33; 44; 55; 66; 77; 88; 99; TT; JJ; QQ; KK; AA
4 to a Straight 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
4 to a Flush
(more)3458; 3459; 345T; 345J; 345Q; 345K; 346A; 3468; 3469; 346T; 346J; 346Q...
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

### 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
4 to a Straight Flush W78T; W9QK
4 to a Straight Flush
(more)W345; W346; W347; W356; W367; W456; W457; W458; W467; W468; W478; W567...
4 to a Straight Flush W357; W78J
Pat Hand Straight; Flush
3 of a Kind W33; W44; W55; W66; W77; W88; W99; WTT; WJJ; WQQ; WKK; WAA
4 to a Straight Flush WA34; WA35; WA45
3 to a Wild Royal Flush WTJ; WTQ; WJQ
3 to a Straight Flush W67; W78; W89; W9T
3 to a Wild Royal Flush WTK; WJK; WQK
3 to a Straight Flush W57; W68; W79; W8T; W9J
3 to a Straight Flush W56
Wild Only

### Basic Strategy — Two Wilds Dealt

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

### Basic Strategy — Three Wilds Dealt

Type of Play Play Details
Pat Hand 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)
Garbage: Discard everything 2 to a Natural Royal Flush: QK
(more)3♣4♣5♦Q♦K♦
Garbage: Discard everything 2 to a Natural Royal Flush: JK
(more)3♣4♦9♣J♦K♦
Garbage: Discard everything 2 to a Natural Royal Flush: TK
(more)3♣4♦9♣10♦K♦
Wild Only 3 to a Straight Flush: W56
(more)2♣3♣5♦6♦8♣
3 to a Straight Flush: W45 Wild Only
(more)2♣4♣5♣9♦10♥
Wild Only 3 to a Straight Flush: W57
(more)2♣3♣5♦7♦8♣
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♥
2 to a Straight Flush: 78 Garbage: Discard everything
(more)3♣7♦8♦Q♣K♥
Wild Only 3 to a Straight Flush: W79
(more)2♣3♣6♦7♣9♣
2 to a Straight Flush: 89 Garbage: Discard everything
(more)3♣4♣8♦9♦K♥
Wild Only 3 to a Straight Flush: W9J
(more)2♣3♣9♣10♦J♣
Wild Only 3 to a Straight Flush: W8T
(more)2♣3♣8♣9♦10♣
4 to a Straight Flush: W345 4 to a Straight Flush: W458 2♣3♣4♣5♣8♣
4 to a Straight Flush: W456 4 to a Straight Flush: W569 2♣4♣5♣6♣9♣
4 to a Straight Flush: W457 4 to a Straight Flush: W579 2♣4♣5♣7♣9♣
4 to a Straight Flush: W467 4 to a Straight Flush: W67T 2♣4♣6♣7♣10♣
4 to a Straight Flush: W567 4 to a Straight Flush: W67T 2♣5♣6♣7♣10♣
4 to a Straight Flush: W568 4 to a Straight Flush: W68T 2♣5♣6♣8♣10♣
4 to a Straight Flush: W679 4 to a Straight Flush: W79J 2♣6♣7♣9♣J♣
4 to a Straight Flush: W689 4 to a Straight Flush: W89Q 2♣6♣8♣9♣Q♣
4 to a Straight Flush: W789 4 to a Straight Flush: W89Q 2♣7♣8♣9♣Q♣
4 to a Straight Flush: W79T 4 to a Straight Flush: W9TK 2♣7♣9♣10♣K♣
4 to a Straight Flush: W89T 4 to a Straight Flush: W9TK 2♣8♣9♣10♣K♣
4 to a Straight Flush: W89J 4 to a Straight Flush: W9JK 2♣8♣9♣J♣K♣