# 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 800 440,202,756 0.000022 45,281.93 14.10 0.017667
Four Deuces 200 4,060,462,824 0.000204 4,909.10 8.07 0.040741
Wild Royal Flush 25 35,796,957,696 0.001796 556.84 1.03 0.044896
Five of a Kind 15 63,818,309,856 0.003202 312.34 0.63 0.048024
Straight Flush 9 83,218,233,480 0.004175 239.53 0.27 0.037574
Four of a Kind 5 1,294,427,430,576 0.064938 15.40 1.04 0.324691
Full House 3 423,165,297,240 0.021229 47.11 0.08 0.063687
Flush 2 334,262,439,324 0.016769 59.63 0.02 0.033538
Straight 2 1,117,181,521,956 0.056046 17.84 0.06 0.112092
Three of a Kind 1 5,675,175,572,112 0.284709 3.51 0.00 0.284709
Nothing 0 10,901,684,089,380 0.546910 1.83 0.56 0.000000
Totals 19,933,230,517,200 1.000000 2.21 25.84 1.007620

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 800 436,375,824 0.000022 45,679.04 13.98 0.017514
Four Deuces 200 4,119,883,836 0.000207 4,838.30 8.18 0.041337
Wild Royal Flush 25 34,732,432,680 0.001742 573.91 1.00 0.043561
Five of a Kind 15 63,096,846,264 0.003165 315.91 0.62 0.047481
Straight Flush 9 83,356,594,200 0.004182 239.13 0.27 0.037636
Four of a Kind 5 1,298,587,090,596 0.065147 15.35 1.04 0.325734
Full House 3 423,271,675,656 0.021234 47.09 0.08 0.063703
Flush 2 328,546,839,792 0.016482 60.67 0.02 0.032965
Straight 2 1,122,751,019,400 0.056326 17.75 0.06 0.112651
Three of a Kind 1 5,680,818,504,708 0.284992 3.51 0.00 0.284992
Nothing 0 10,893,513,254,244 0.546500 1.83 0.55 0.000000
Totals 19,933,230,517,200 1.000000 2.21 25.80 1.007575

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
3 of a Kind 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat Hand Straight; Flush; Straight Flush
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
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; 456; 457; 467; 567; 568; 578; 589; 678; 679; 67T; 689; 68T; 69T...
2 to a Natural Royal Flush TJ
3 to a Straight Flush 458; 468; 478; 569; 579; 7TJ
4 to a Straight
(more)3456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 78TJ; 79TJ; 89TQ; 89JQ...
2 to a Natural Royal Flush TQ; JQ
3 to a Straight Flush 346; 347; 356; 357; 367
4 to a Straight 5689; 5789; 678T; 679T; 689T; 789J

### 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 W567; W678; W789; W89T; W9TJ
3 of a Kind W33; W44; W55; W66; W77; W88; W99; WTT; WJJ; WQQ; WKK; WAA
Pat Hand Straight; Flush
4 to a Straight Flush
(more)WA34; WA35; WA45; W345; W346; W347; W356; W357; W367; W456; W457; W458...
3 to a Wild Royal Flush WTJ; WTQ; WTK; WJQ; WJK; WQK
3 to a Straight Flush W67; W78; W89; W9T
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 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)
3 to a Wild Royal Flush: WTA Wild Only
(more)2♣3♣4♦10♥A♥
3 to a Wild Royal Flush: WJA Wild Only
(more)2♣3♣5♦J♥A♥
2 to a Natural Royal Flush: TK Garbage: Discard everything
(more)3♣4♣5♦10♥K♥
3 to a Wild Royal Flush: WQA Wild Only
(more)2♣4♣5♦Q♥A♥
2 to a Natural Royal Flush: JK Garbage: Discard everything
(more)3♣4♦6♥J♠K♠
2 to a Natural Royal Flush: QK Garbage: Discard everything
(more)3♣5♦6♥Q♠K♠
3 to a Wild Royal Flush: WKA Wild Only
(more)2♣5♣6♣K♦A♦
2 to a Natural Royal Flush: TQ 4 to a Straight: TQKA
(more)3♣10♦Q♦K♣A♣
2 to a Natural Royal Flush: JQ 4 to a Straight: JQKA
(more)3♣J♦Q♦K♣A♣
2 to a Natural Royal Flush: JQ 4 to a Straight: 89JQ
(more)3♣8♣9♣J♦Q♦
2 to a Natural Royal Flush: TQ 4 to a Straight: 89TQ
(more)3♣8♣9♣10♦Q♦
3 to a Straight Flush: 7TJ 2 to a Natural Royal Flush: TJ
(more)3♣7♦10♦J♦Q♣
Pat Hand: Five of a Kind Wilds Only
(more)2♣2♦2♥10♦10♣
4 to a Straight: 679T 2 to a Natural Royal Flush: TQ
(more)6♣7♦9♣10♦Q♦
4 to a Straight Flush: 8TJQ 3 to a Natural Royal Flush: TJQ 8♣10♣J♣Q♣K♦