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Video Poker Strategy Calculator
Introduction
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 | 400.4848 | 431,950,944 | 0.000022 | 46,146.98 | 3.46 | 0.008678 |
| Four Deuces | 100.4848 | 3,427,925,772 | 0.000172 | 5,814.95 | 1.70 | 0.017280 |
| Wild Royal Flush | 12.9848 | 32,088,693,264 | 0.001610 | 621.19 | 0.23 | 0.020903 |
| Five of a Kind | 8.4848 | 59,050,862,568 | 0.002962 | 337.56 | 0.17 | 0.025136 |
| Straight Flush | 9.4085 | 122,355,248,532 | 0.006138 | 162.91 | 0.44 | 0.057752 |
| Four of a Kind | 3.6967 | 1,214,436,589,980 | 0.060925 | 16.41 | 0.45 | 0.225219 |
| Full House | 2.7119 | 520,673,500,080 | 0.026121 | 38.28 | 0.08 | 0.070837 |
| Flush | 2.2119 | 419,311,170,948 | 0.021036 | 47.54 | 0.03 | 0.046529 |
| Straight | 1.7271 | 1,131,891,317,628 | 0.056784 | 17.61 | 0.03 | 0.098074 |
| Three of a Kind | 0.9848 | 5,346,885,830,196 | 0.268240 | 3.73 | 0.00 | 0.264152 |
| Nothing | 0.2424 | 11,082,677,427,288 | 0.555990 | 1.80 | 0.29 | 0.134761 |
| Totals | 19,933,230,517,200 | 1.000000 | 1.00 | 6.89 | 0.969321 | |
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 | 400.4848 | 434,535,756 | 0.000022 | 45,872.47 | 3.48 | 0.008730 |
| Four Deuces | 100.4848 | 3,449,002,308 | 0.000173 | 5,779.42 | 1.71 | 0.017387 |
| Wild Royal Flush | 12.9848 | 32,279,432,424 | 0.001619 | 617.52 | 0.23 | 0.021027 |
| Five of a Kind | 8.4848 | 59,199,983,832 | 0.002970 | 336.71 | 0.17 | 0.025199 |
| Straight Flush | 9.4085 | 121,133,037,984 | 0.006077 | 164.56 | 0.43 | 0.057175 |
| Four of a Kind | 3.6967 | 1,218,529,411,428 | 0.061131 | 16.36 | 0.45 | 0.225978 |
| Full House | 2.7119 | 520,987,235,040 | 0.026137 | 38.26 | 0.08 | 0.070880 |
| Flush | 2.2119 | 416,307,527,532 | 0.020885 | 47.88 | 0.03 | 0.046196 |
| Straight | 1.7271 | 1,122,318,910,284 | 0.056304 | 17.76 | 0.03 | 0.097245 |
| Three of a Kind | 0.9848 | 5,358,555,751,956 | 0.268825 | 3.72 | 0.00 | 0.264728 |
| Nothing | 0.2424 | 11,080,035,688,656 | 0.555858 | 1.80 | 0.29 | 0.134729 |
| Totals | 19,933,230,517,200 | 1.000000 | 1.00 | 6.92 | 0.969274 | |
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 | Flush; Straight Flush |
| 4 to a Straight Flush | A345; 4567; 5678; 6789; 789T; 89TJ; 9TJQ |
| Pat Hand | Straight |
| 3 of a Kind | 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
| 4 to a Straight Flush | (more)3456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789; 678T; 679T... |
| 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... |
| 3 to a Straight Flush | 567; 678; 789; 89T; 9TJ |
| 2 Pair | (more)3344; 3355; 3366; 3377; 3388; 3399; 33TT; 33JJ; 33QQ; 33KK; 33AA; 4455... |
| 1 Pair | 33; 44; 55; 66; 77; 88; 99; TT; JJ; QQ; KK; AA |
| 3 to a Straight Flush | (more)345; 346; 347; 456; 457; 458; 467; 568; 578; 679; 689; 78T; 79T; 89J... |
| 4 to a Straight | 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK |
| 3 to a Straight Flush | (more)356; 357; 367; 468; 478; 569; 579; 589; 67T; 68T; 69T; 78J; 79J; 7TJ... |
| 2 to a Natural Royal Flush | TJ |
| 4 to a Straight | (more)3456; 3457; 4678; 5679; 5689; 5789; 678T; 679T; 689T; 789J; 78TJ; 79TJ... |
| 3 to a Straight Flush | A34; A35; A45 |
| 4 to a Straight | 3467; 3567; 4568; 4578 |
| 2 to a Natural Royal Flush | TQ; JQ |
| Garbage | Discard everything |
| 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 | WTJQ; WTJK; WTQK; WJQK |
| 4 to a Straight Flush | W567; W678; W789; W89T; W9TJ |
| Pat Hand | Flush |
| 4 to a Wild Royal Flush | WTJA; WTQA; WTKA; WJQA; WJKA; WQKA |
| 4 to a Straight Flush | (more)W345; W346; W347; W356; W357; W367; W456; W457; W458; W467; W468; W478... |
| Pat Hand | Straight |
| 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 |
| 3 to a Straight Flush | W67; W89 |
| 3 to a Straight Flush | W78; W8T; W9T; W9J |
| 3 to a Wild Royal Flush | WTQ; WJQ |
| 3 to a Straight Flush | W45; W56; W57; W68; W79 |
| 3 to a Wild Royal Flush | WTK; WJK; WQK |
| 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 | WWTJ; WWTQ; WWTK; WWJQ; WWJK; WWQA; WWQK; WWKA |
| 4 to a Straight Flush | WW45; WW8T |
| 4 to a Straight Flush | (more)WW34; WW35; WW46; WW47; WW56; WW57; WW58; WW59; WW67; WW68; WW69; WW78... |
| 4 to a Wild Royal Flush | WWTA; WWJA |
| 4 to a Straight Flush | WW36; WW8J |
| 4 to a Straight Flush | WW37; WW48; WW6T; WW7T; WW7J; WW8Q |
| Wilds Only | |
| Basic Strategy — Three Wilds Dealt | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Straight Flush; 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) |
| 2 to a Straight Flush: 9T | Garbage: Discard everything | |
| 2 to a Straight Flush: 89 | Garbage: Discard everything | |
| 2 to a Straight Flush: 78 | Garbage: Discard everything | |
| 2 to a Straight Flush: 67 | Garbage: Discard everything | |
| Garbage: Discard everything | 2 to a Natural Royal Flush: JQ | |
| Garbage: Discard everything | 2 to a Natural Royal Flush: TQ | |
| 3 to a Straight Flush: W7T | Wild Only | |
| 3 to a Straight Flush: W8J | Wild Only | |
| 3 to a Straight Flush: W47 | Wild Only | |
| 3 to a Straight Flush: W58 | Wild Only | |
| 3 to a Straight Flush: W9Q | Wild Only | |
| 3 to a Straight Flush: W69 | Wild Only | |
| 4 to a Straight: W9TJ | Wild Only | |
| 3 to a Straight Flush: W46 | Wild Only | |
| 4 to a Straight: W89T | Wild Only | |
| 4 to a Straight: W678 | Wild Only | |
| 4 to a Straight: W789 | Wild Only | |
| 4 to a Straight: 8TJQ | 2 to a Natural Royal Flush: TJ | |
| 4 to a Straight: 9TJK | 2 to a Natural Royal Flush: TJ | |
| 4 to a Straight: W567 | Wild Only | 2♣ 5♣ 6♦ 7♥ 10♠ |
| 4 to a Straight: WTJQ | Wild Only | 2♣ 7♣ 10♦ J♥ Q♠ |
| 2 to a Straight Flush: 78 | 2 to a Natural Royal Flush: JQ | |
| 2 to a Straight Flush: 67 | 2 to a Natural Royal Flush: JQ | 6♣ 7♣ J♦ Q♦ K♥ |
| 4 to a Straight Flush: WW35 | 4 to a Straight Flush: WW59 | 2♣ 2♦ 3♣ 5♣ 9♣ |
| 4 to a Straight Flush: WW79 | 4 to a Straight Flush: WW9Q | 2♣ 2♦ 7♣ 9♣ Q♣ |
| 4 to a Straight Flush: WW69 | 4 to a Straight Flush: WW9K | 2♣ 2♦ 6♣ 9♣ K♣ |
| 4 to a Straight Flush: WW79 | 4 to a Straight Flush: WW9K | 2♣ 2♦ 7♣ 9♣ K♣ |
| 4 to a Straight Flush: WW89 | 4 to a Straight Flush: WW9K | 2♣ 2♦ 8♣ 9♣ K♣ |