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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 | 800 | 458,643,348 | 0.000023 | 43,461.29 | 14.69 | 0.018407 |
| Four Deuces | 200 | 3,565,563,612 | 0.000179 | 5,590.49 | 7.08 | 0.035775 |
| Wild Royal Flush | 25 | 37,590,269,016 | 0.001886 | 530.28 | 1.09 | 0.047145 |
| Five of a Kind | 15 | 61,291,109,808 | 0.003075 | 325.22 | 0.60 | 0.046122 |
| Straight Flush | 11 | 111,190,521,372 | 0.005578 | 179.27 | 0.56 | 0.061360 |
| Four of a Kind | 4 | 1,208,791,306,212 | 0.060642 | 16.49 | 0.55 | 0.242568 |
| Full House | 4 | 520,668,792,144 | 0.026121 | 38.28 | 0.24 | 0.104483 |
| Flush | 3 | 423,233,966,472 | 0.021233 | 47.10 | 0.08 | 0.063698 |
| Straight | 2 | 1,126,412,253,264 | 0.056509 | 17.70 | 0.06 | 0.113019 |
| Three of a Kind | 1 | 5,322,021,809,616 | 0.266992 | 3.75 | 0.00 | 0.266992 |
| Nothing | 0 | 11,118,006,282,336 | 0.557762 | 1.79 | 0.56 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.26 | 25.50 | 0.999569 | |
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 | 459,710,664 | 0.000023 | 43,360.38 | 14.72 | 0.018450 |
| Four Deuces | 200 | 3,569,318,028 | 0.000179 | 5,584.60 | 7.09 | 0.035813 |
| Wild Royal Flush | 25 | 37,615,260,984 | 0.001887 | 529.92 | 1.09 | 0.047177 |
| Five of a Kind | 15 | 61,323,443,472 | 0.003076 | 325.05 | 0.60 | 0.046147 |
| Straight Flush | 11 | 110,880,970,992 | 0.005563 | 179.77 | 0.56 | 0.061189 |
| Four of a Kind | 4 | 1,210,048,212,252 | 0.060705 | 16.47 | 0.55 | 0.242820 |
| Full House | 4 | 520,882,162,632 | 0.026131 | 38.27 | 0.24 | 0.104525 |
| Flush | 3 | 422,463,972,504 | 0.021194 | 47.18 | 0.08 | 0.063582 |
| Straight | 2 | 1,121,768,766,072 | 0.056276 | 17.77 | 0.06 | 0.112553 |
| Three of a Kind | 1 | 5,327,838,074,364 | 0.267284 | 3.74 | 0.00 | 0.267284 |
| Nothing | 0 | 11,116,380,625,236 | 0.557681 | 1.79 | 0.56 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.26 | 25.54 | 0.999539 | |
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... |
| 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 | 89TJ; 9TJQ |
| 3 to a Straight Flush | 345; 346; 347; 458; 69T; 89J; 8TJ; 9TQ; 9JQ; 9JK; 9QK |
| 4 to a Straight | 6789; 789T; TJQK |
| 3 to a Straight Flush | 468; 478; 589; 679; 689; 78T; 79T; 79J; 7TJ; 89Q; 8TQ; 8JQ; 9TK |
| 4 to a Straight | 4567; 5678 |
| 3 to a Straight Flush | 356; 357; 367; 456; 457; 467; 568; 569; 578; 579; 67T; 68T; 78J |
| 2 to a Natural Royal Flush | TJ; TQ; JQ |
| 3 to a Straight Flush | A34; A35; A45 |
| 4 to a Straight | (more)3456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789; 679T; 689T... |
| 2 to a Natural Royal Flush | TK; JK; QK |
| 4 to a Straight | 678T |
| 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 | WTJA; WTJQ; WTJK; WTQA; WTQK; WTKA; WJQA; WJQK; WJKA; WQKA |
| Pat Hand | Flush |
| 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; WTQ; WTK; WJQ; WJK |
| 3 to a Straight Flush | W67; W78; W89; W9T |
| 3 to a Wild Royal Flush | WQK |
| 3 to a Straight Flush | W57; W8T |
| 3 to a Wild Royal Flush | WTA |
| 3 to a Straight Flush | W68; W9J |
| 3 to a Straight Flush | W56 |
| 3 to a Wild Royal Flush | WJA |
| 3 to a Straight Flush | W79 |
| 3 to a Wild Royal Flush | WQA; WKA |
| 3 to a Straight Flush | W45 |
| 4 to a Straight | W89T; W9TJ |
| 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 | WW34; WW68 |
| 4 to a Straight Flush | (more)WW35; WW45; WW46; WW47; WW56; WW57; WW58; WW67; WW69; WW78; WW79; WW7T... |
| 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) |
| 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 | |
| 4 to a Straight: WTJQ | Wild Only | |
| Garbage: Discard everything | 2 to a Natural Royal Flush: QK | |
| Garbage: Discard everything | 2 to a Natural Royal Flush: JK | |
| Wild Only | 3 to a Straight Flush: W45 | |
| 4 to a Straight: W789 | Wild Only | |
| 4 to a Straight: W678 | Wild Only | |
| Wild Only | 4 to a Straight: W9TJ | |
| Garbage: Discard everything | 2 to a Natural Royal Flush: TK | |
| Wild Only | 4 to a Straight: W89T | |
| 4 to a Straight: W567 | Wild Only | |
| 3 to a Wild Royal Flush: WTA | 3 to a Straight Flush: W8T | |
| 3 to a Wild Royal Flush: WJA | 3 to a Straight Flush: W9J | |
| 4 to a Straight: 678T | 2 to a Natural Royal Flush: TK | |
| 2 to a Natural Royal Flush: TK | 4 to a Straight: 679T | |
| 2 to a Natural Royal Flush: TK | 4 to a Straight: 689T | |
| 2 to a Natural Royal Flush: JK | 4 to a Straight: 789J | |
| 3 to a Straight Flush: W58 | Wild Only | 2♣ 5♣ 8♣ 10♦ J♥ |
| 3 to a Straight Flush: W67 | 3 to a Wild Royal Flush: WJK | 2♣ 6♣ 7♣ J♦ K♦ |
| 3 to a Straight Flush: W56 | 3 to a Wild Royal Flush: WTA | 2♣ 5♣ 6♣ 10♦ A♦ |
| 3 to a Straight Flush: 467 | 4 to a Straight: 6789 | |
| 3 to a Straight Flush: 578 | 4 to a Straight: 789T | |
| 3 to a Straight Flush: 689 | 4 to a Straight: 89TJ | |
| 3 to a Straight Flush: 79T | 4 to a Straight: 9TJQ | |
| 4 to a Straight Flush: WW57 | 4 to a Straight Flush: WW7T | 2♣ 2♦ 5♣ 7♣ 10♣ |
| 4 to a Straight Flush: WW79 | 4 to a Straight Flush: WW9Q | 2♣ 2♦ 7♣ 9♣ Q♣ |