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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 | 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 |
| 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 |
| 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 | |
| 3 to a Wild Royal Flush: WJA | Wild Only | |
| 2 to a Natural Royal Flush: TK | Garbage: Discard everything | |
| 3 to a Wild Royal Flush: WQA | Wild Only | |
| 2 to a Natural Royal Flush: JK | Garbage: Discard everything | |
| 2 to a Natural Royal Flush: QK | Garbage: Discard everything | |
| 3 to a Wild Royal Flush: WKA | Wild Only | |
| 2 to a Natural Royal Flush: TQ | 4 to a Straight: TQKA | |
| 2 to a Natural Royal Flush: JQ | 4 to a Straight: JQKA | |
| 2 to a Natural Royal Flush: JQ | 4 to a Straight: 89JQ | |
| 2 to a Natural Royal Flush: TQ | 4 to a Straight: 89TQ | |
| 3 to a Straight Flush: 7TJ | 2 to a Natural Royal Flush: TJ | |
| Pat Hand: Five of a Kind | Wilds Only | |
| 4 to a Straight: 679T | 2 to a Natural Royal Flush: TQ | |
| 4 to a Straight Flush: 8TJQ | 3 to a Natural Royal Flush: TJQ | 8♣ 10♣ J♣ Q♣ K♦ |