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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 | 444,041,316 | 0.000022 | 44,890.49 | 14.22 | 0.017821 |
| Four Deuces | 500 | 4,273,461,948 | 0.000214 | 4,664.42 | 53.38 | 0.107194 |
| Wild Royal Flush | 25 | 34,075,923,888 | 0.001710 | 584.97 | 0.98 | 0.042738 |
| Five of a Kind | 15 | 63,490,737,072 | 0.003185 | 313.95 | 0.62 | 0.047778 |
| Straight Flush | 8 | 77,311,293,540 | 0.003879 | 257.83 | 0.19 | 0.031028 |
| Four of a Kind | 4 | 1,304,359,614,684 | 0.065436 | 15.28 | 0.59 | 0.261746 |
| Full House | 3 | 422,398,486,728 | 0.021191 | 47.19 | 0.08 | 0.063572 |
| Flush | 2 | 323,353,410,576 | 0.016222 | 61.65 | 0.02 | 0.032444 |
| Straight | 2 | 1,117,087,945,680 | 0.056041 | 17.84 | 0.06 | 0.112083 |
| Three of a Kind | 1 | 5,682,827,245,380 | 0.285093 | 3.51 | 0.00 | 0.285093 |
| Nothing | 0 | 10,903,608,356,388 | 0.547007 | 1.83 | 0.55 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 70.70 | 1.001496 | |
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 | 439,247,880 | 0.000022 | 45,380.37 | 14.07 | 0.017629 |
| Four Deuces | 500 | 4,292,105,028 | 0.000215 | 4,644.16 | 53.62 | 0.107662 |
| Wild Royal Flush | 25 | 34,004,878,872 | 0.001706 | 586.19 | 0.98 | 0.042648 |
| Five of a Kind | 15 | 63,624,950,592 | 0.003192 | 313.29 | 0.63 | 0.047879 |
| Straight Flush | 8 | 75,935,737,104 | 0.003810 | 262.50 | 0.19 | 0.030476 |
| Four of a Kind | 4 | 1,307,801,722,620 | 0.065609 | 15.24 | 0.59 | 0.262436 |
| Full House | 3 | 422,594,311,104 | 0.021200 | 47.17 | 0.08 | 0.063601 |
| Flush | 2 | 320,788,863,384 | 0.016093 | 62.14 | 0.02 | 0.032186 |
| Straight | 2 | 1,109,025,397,728 | 0.055637 | 17.97 | 0.06 | 0.111274 |
| Three of a Kind | 1 | 5,693,834,949,912 | 0.285645 | 3.50 | 0.00 | 0.285645 |
| Nothing | 0 | 10,900,888,352,976 | 0.546870 | 1.83 | 0.55 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 70.77 | 1.001438 | |
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 |
| 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; 678; 679; 689; 789; 78T; 79T; 89T... |
| 2 to a Natural Royal Flush | TJ |
| 4 to a Straight | 78TJ; 79TJ; 89TQ; 89JQ; 8TJQ; 9TJK; 9TQK; 9JQK; TJQA; TJKA; TQKA; JQKA |
| 3 to a Straight Flush | 89Q; 8TQ; 8JQ; 9TK; 9JK; 9QK |
| 2 to a Natural Royal Flush | TQ; JQ |
| 3 to a Straight Flush | 346; 347; 367 |
| 4 to a Straight | 678T; 679T; 689T; 789J |
| 3 to a Straight Flush | 67T; 68T; 69T; 78J; 79J |
| 4 to a Straight | 3467; 3567; 4568; 4578; 4678; 5679 |
| 3 to a Straight Flush | 356; 357 |
| 4 to a Straight | 5689; 5789 |
| 3 to a Straight Flush | 458; 468; 478; 569; 579; 589 |
| 4 to a Straight | 3456; 3457 |
| 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 |
| 4 to a Straight Flush | W567; W678; W789; W89T; W9TJ |
| Pat Hand | Straight; Flush |
| 4 to a Straight Flush | (more)W345; W456; W457; W467; W568; W578; W679; W689; W78T; W79T; W89J; W8TJ... |
| 3 of a Kind | W33; W44; W55; W66; W77; W88; W99; WTT; WJJ; WQQ; WKK; WAA |
| 4 to a Straight Flush | (more)WA34; WA35; WA45; W346; W347; W356; W357; W367; W458; W468; W478; W569... |
| 3 to a Wild Royal Flush | WTJ; WTQ; WTK; WJQ; 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 | WWTA; WWTJ; WWTQ; WWTK; WWJA; WWJQ; WWJK; WWQA; WWQK; WWKA |
| Wilds Only | |
| Basic Strategy — Three Wilds Dealt | |
|---|---|
| Type of Play | Play Details |
| 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 Natural Royal Flush: TK | Garbage: Discard everything | |
| 2 to a Natural Royal Flush: JK | Garbage: Discard everything | |
| 2 to a Natural Royal Flush: QK | Garbage: Discard everything | |
| 3 to a Straight Flush: W9T | Wild Only | |
| 3 to a Straight Flush: W78 | Wild Only | |
| 3 to a Straight Flush: W67 | Wild Only | |
| 3 to a Straight Flush: W89 | Wild Only | |
| 4 to a Straight: 3456 | 3 to a Straight Flush: 346 | |
| 4 to a Straight: 3467 | 3 to a Straight Flush: 346 | |
| 4 to a Straight: 3456 | 3 to a Straight Flush: 356 | |
| 4 to a Straight: 3457 | 3 to a Straight Flush: 347 | |
| 4 to a Straight: 3467 | 3 to a Straight Flush: 347 | |
| 4 to a Straight: 3457 | 3 to a Straight Flush: 357 | |
| 4 to a Straight: 3467 | 3 to a Straight Flush: 367 | |
| 4 to a Straight: 3567 | 3 to a Straight Flush: 367 | |
| 4 to a Straight: 678T | 2 to a Natural Royal Flush: TQ | |
| 4 to a Straight: 679T | 2 to a Natural Royal Flush: TQ | |
| 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: 4568 | 3 to a Straight Flush: 346 | |
| 4 to a Straight: 4678 | 3 to a Straight Flush: 346 | |
| 4 to a Straight: 4578 | 3 to a Straight Flush: 347 | |
| 4 to a Straight: 4678 | 3 to a Straight Flush: 347 | |
| 4 to a Straight: 4678 | 3 to a Straight Flush: 367 | |
| 4 to a Straight: 5679 | 3 to a Straight Flush: 367 | |
| 3 to a Straight Flush: 468 | 4 to a Straight: 689T | |
| 3 to a Straight Flush: 478 | 4 to a Straight: 789J | |
| 3 to a Straight Flush: 589 | 4 to a Straight: 89TQ | |
| 3 to a Straight Flush: 589 | 4 to a Straight: 89JQ | |
| 3 to a Straight Flush: 68T | 4 to a Straight: 8TJQ | |
| 3 to a Straight Flush: 69T | 4 to a Straight: 9TJK | |
| 3 to a Straight Flush: 69T | 4 to a Straight: 9TQK | |
| 3 to a Straight Flush: 79J | 4 to a Straight: 9JQK | |
| 3 to a Straight Flush: 8TQ | 4 to a Straight: TQKA | |
| 3 to a Straight Flush: 8JQ | 4 to a Straight: JQKA | |
| 3 to a Straight Flush: 478 | 4 to a Straight: 78TJ | 4♣ 7♣ 8♣ 10♦ J♥ |
| 3 to a Straight Flush: 579 | 4 to a Straight: 79TJ | 5♣ 7♣ 9♣ 10♦ J♥ |
| 3 to a Straight Flush: 67T | 2 to a Natural Royal Flush: JQ | 6♣ 7♣ 10♣ J♦ Q♦ |