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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 | 2,031 | 528,038,880 | 0.000026 | 37,749.55 | 109.16 | 0.053802 |
| Four Deuces | 200 | 3,550,620,252 | 0.000178 | 5,614.01 | 7.05 | 0.035625 |
| Wild Royal Flush | 25 | 38,613,423,624 | 0.001937 | 516.23 | 1.11 | 0.048428 |
| Five of a Kind | 15 | 61,107,793,728 | 0.003066 | 326.20 | 0.60 | 0.045984 |
| Straight Flush | 11 | 109,907,372,892 | 0.005514 | 181.36 | 0.55 | 0.060652 |
| Four of a Kind | 4 | 1,203,413,108,724 | 0.060372 | 16.56 | 0.53 | 0.241489 |
| Full House | 4 | 520,232,547,888 | 0.026099 | 38.32 | 0.23 | 0.104395 |
| Flush | 3 | 432,047,759,724 | 0.021675 | 46.14 | 0.08 | 0.065024 |
| Straight | 2 | 1,090,766,042,412 | 0.054721 | 18.27 | 0.05 | 0.109442 |
| Three of a Kind | 1 | 5,305,648,843,824 | 0.266171 | 3.76 | 0.00 | 0.266171 |
| Nothing | 0 | 11,167,414,965,252 | 0.560241 | 1.78 | 0.60 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.27 | 119.97 | 1.031013 | |
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 | 2,031 | 528,124,908 | 0.000026 | 37,743.40 | 109.18 | 0.053811 |
| Four Deuces | 200 | 3,553,948,968 | 0.000178 | 5,608.76 | 7.06 | 0.035659 |
| Wild Royal Flush | 25 | 38,601,909,360 | 0.001937 | 516.38 | 1.11 | 0.048414 |
| Five of a Kind | 15 | 61,135,632,792 | 0.003067 | 326.05 | 0.60 | 0.046005 |
| Straight Flush | 11 | 109,749,511,632 | 0.005506 | 181.62 | 0.55 | 0.060564 |
| Four of a Kind | 4 | 1,204,519,153,080 | 0.060428 | 16.55 | 0.53 | 0.241711 |
| Full House | 4 | 520,426,748,808 | 0.026108 | 38.30 | 0.23 | 0.104434 |
| Flush | 3 | 431,550,238,764 | 0.021650 | 46.19 | 0.08 | 0.064949 |
| Straight | 2 | 1,086,604,736,220 | 0.054512 | 18.34 | 0.05 | 0.109024 |
| Three of a Kind | 1 | 5,310,632,055,900 | 0.266421 | 3.75 | 0.00 | 0.266421 |
| Nothing | 0 | 11,165,928,456,768 | 0.560167 | 1.79 | 0.60 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.27 | 119.99 | 1.030993 | |
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 |
| 3 to a Natural Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
| 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)A345; 3456; 3457; 3467; 3567; 4567; 4568; 4578; 4678; 5678; 5679; 5689... |
| 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; 69T; 89J; 8TJ; 9TQ; 9JQ; 9JK; 9QK |
| 4 to a Straight | 6789; 789T; TJQK |
| 3 to a Straight Flush | 589; 679; 689; 78T; 79T; 79J; 89Q; 8TQ; 8JQ; 9TK |
| 4 to a Straight | 4567; 5678 |
| 3 to a Straight Flush | 456; 457; 467; 568; 578; 68T |
| 2 to a Natural Royal Flush | TJ; TQ; JQ |
| 3 to a Straight Flush | 346; 347; 356; 357; 367; 458; 468; 478; 569; 579; 67T; 78J; 7TJ |
| 2 to a Natural Royal Flush | TK; JK; QK; KA |
| 2 to a Natural Royal Flush | TA; JA; QA |
| 3 to a Straight Flush | A34; A35; A45 |
| 4 to a Straight | (more)3456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789; 678T; 679T... |
| Garbage | Discard everything |
| Basic Strategy — One Wild Dealt | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Full House; Straight Flush; Five of a Kind |
| 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 | |
| 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 | |
| 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 | |
| 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: 7TJ | 2 to a Natural Royal Flush: TJ | |
| 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♣ |