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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 | 400.4813 | 430,876,152 | 0.000022 | 46,262.09 | 3.45 | 0.008657 |
| Four Deuces | 100.4813 | 3,645,035,352 | 0.000183 | 5,468.60 | 1.81 | 0.018374 |
| Wild Royal Flush | 10.4813 | 30,610,287,984 | 0.001536 | 651.19 | 0.14 | 0.016096 |
| Five of a Kind | 5.4813 | 59,542,089,408 | 0.002987 | 334.78 | 0.06 | 0.016373 |
| Straight Flush | 6.888 | 102,524,498,100 | 0.005143 | 194.42 | 0.18 | 0.035428 |
| Four of a Kind | 3.6847 | 1,205,298,861,168 | 0.060467 | 16.54 | 0.45 | 0.222800 |
| Full House | 3.2033 | 519,045,097,992 | 0.026039 | 38.40 | 0.13 | 0.083412 |
| Flush | 2.7033 | 519,571,029,252 | 0.026066 | 38.36 | 0.08 | 0.070464 |
| Straight | 1.722 | 1,122,229,513,476 | 0.056299 | 17.76 | 0.03 | 0.096948 |
| Three of a Kind | 0.9813 | 5,286,210,624,624 | 0.265196 | 3.77 | 0.00 | 0.260245 |
| Nothing | 0.2407 | 11,084,122,603,692 | 0.556063 | 1.80 | 0.29 | 0.133828 |
| Totals | 19,933,230,517,200 | 1.000000 | 1.00 | 6.62 | 0.962624 | |
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 | 400.4813 | 434,535,756 | 0.000022 | 45,872.47 | 3.48 | 0.008730 |
| Four Deuces | 100.4813 | 3,641,986,308 | 0.000183 | 5,473.18 | 1.81 | 0.018359 |
| Wild Royal Flush | 10.4813 | 30,791,252,304 | 0.001545 | 647.37 | 0.14 | 0.016191 |
| Five of a Kind | 5.4813 | 59,537,922,552 | 0.002987 | 334.80 | 0.06 | 0.016372 |
| Straight Flush | 6.888 | 100,935,046,164 | 0.005064 | 197.49 | 0.18 | 0.034879 |
| Four of a Kind | 3.6847 | 1,204,087,479,588 | 0.060406 | 16.55 | 0.45 | 0.222576 |
| Full House | 3.2033 | 518,911,034,736 | 0.026032 | 38.41 | 0.13 | 0.083391 |
| Flush | 2.7033 | 528,329,776,128 | 0.026505 | 37.73 | 0.08 | 0.071652 |
| Straight | 1.722 | 1,117,011,173,808 | 0.056038 | 17.85 | 0.03 | 0.096497 |
| Three of a Kind | 0.9813 | 5,282,732,015,340 | 0.265021 | 3.77 | 0.00 | 0.260073 |
| Nothing | 0.2407 | 11,086,818,294,516 | 0.556198 | 1.80 | 0.29 | 0.133860 |
| Totals | 19,933,230,517,200 | 1.000000 | 1.00 | 6.65 | 0.962580 | |
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... |
| 1 Pair | 88; 99 |
| 3 to a Straight Flush | 567 |
| 1 Pair | 77; QQ; KK |
| 3 to a Straight Flush | 9TJ |
| 1 Pair | 66; JJ |
| 3 to a Straight Flush | 89T |
| 1 Pair | 44; 55; TT |
| 3 to a Straight Flush | 678; 789 |
| 1 Pair | 33; AA |
| 4 to a Straight | 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK |
| 3 to a Straight Flush | (more)345; 346; 347; 356; 357; 367; 456; 457; 458; 467; 468; 478; 568; 569... |
| 2 to a Natural Royal Flush | TJ |
| 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... |
| 2 to a Natural Royal Flush | TQ; JQ |
| Garbage | Discard everything |
| Basic Strategy — One Wild Dealt | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Flush; 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 | (more)W345; W456; W457; W467; W567; W568; W578; W678; W679; W689; W789; W78T... |
| Pat Hand | Straight |
| 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 |
| 3 to a Straight Flush | W67; W78; W89; W9T |
| 4 to a Flush | (more)W348; W349; W34T; W34J; W34Q; W34K; W358; W359; W35T; W35J; W35Q; W35K... |
| 3 to a Wild Royal Flush | WTQ; WTK; WJQ; WJK; WQK |
| 3 to a Straight Flush | W45; W56; W57; W68; W79; W8T; W9J |
| 4 to a Straight | W567; W678; W789; W89T; W9TJ; WTJQ |
| 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; WWQK |
| 4 to a Straight Flush | WW67; WW78; WW89; WW9T |
| Pat Hand | Flush |
| 4 to a Wild Royal Flush | WWTA; WWJA; WWQA; WWKA |
| 4 to a Straight Flush | (more)WW34; WW35; WW45; WW46; WW47; WW56; WW57; WW58; WW68; WW69; WW79; WW7T... |
| 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) |
| Garbage: Discard everything | 2 to a Natural Royal Flush: JQ | |
| Garbage: Discard everything | 2 to a Natural Royal Flush: TQ | |
| 2 to a Straight Flush: 9T | Garbage: Discard everything | |
| 2 to a Straight Flush: 78 | Garbage: Discard everything | |
| 2 to a Straight Flush: 89 | Garbage: Discard everything | |
| 2 to a Straight Flush: 67 | Garbage: Discard everything | |
| Wild Only | 4 to a Straight: W567 | |
| Wild Only | 4 to a Straight: WTJQ | |
| Wild Only | 4 to a Straight: W678 | |
| 3 to a Straight Flush: 678 | 1 Pair: 66 | |
| 3 to a Straight Flush: 678 | 1 Pair: 77 | |
| 3 to a Straight Flush: 789 | 1 Pair: 77 | |
| 3 to a Straight Flush: 678 | 1 Pair: 88 | |
| 3 to a Straight Flush: 789 | 1 Pair: 88 | |
| 3 to a Straight Flush: 89T | 1 Pair: 88 | |
| 3 to a Straight Flush: 789 | 1 Pair: 99 | |
| 3 to a Straight Flush: 89T | 1 Pair: 99 | |
| 3 to a Straight Flush: 9TJ | 1 Pair: 99 | |
| 3 to a Straight Flush: W68 | 4 to a Flush: W368 | |
| 3 to a Straight Flush: W79 | 4 to a Flush: W379 | |
| 3 to a Straight Flush: W79 | 4 to a Flush: W479 | |
| 3 to a Straight Flush: W56 | 4 to a Flush: W56T | |
| 3 to a Straight Flush: W57 | 4 to a Flush: W57T | |
| 3 to a Straight Flush: W8T | 4 to a Flush: W38T | |
| 3 to a Straight Flush: W8T | 4 to a Flush: W48T | |
| 3 to a Straight Flush: W8T | 4 to a Flush: W58T | |
| 3 to a Straight Flush: W56 | 4 to a Flush: W56J | |
| 3 to a Straight Flush: W57 | 4 to a Flush: W57J | |
| 3 to a Straight Flush: W68 | 4 to a Flush: W68J | |
| 3 to a Straight Flush: W9J | 4 to a Flush: W39J | |
| 3 to a Straight Flush: W9J | 4 to a Flush: W49J | |
| 3 to a Straight Flush: W9J | 4 to a Flush: W59J | |
| 3 to a Straight Flush: W9J | 4 to a Flush: W69J | |
| 3 to a Straight Flush: W56 | 4 to a Flush: W56Q | |
| 3 to a Straight Flush: W57 | 4 to a Flush: W57Q | |
| 3 to a Straight Flush: W68 | 4 to a Flush: W68Q | |
| 3 to a Straight Flush: W79 | 4 to a Flush: W79Q | |
| 3 to a Straight Flush: W56 | 4 to a Flush: W56K | |
| 3 to a Straight Flush: W57 | 4 to a Flush: W57K | |
| 3 to a Straight Flush: W68 | 4 to a Flush: W68K | |
| 3 to a Straight Flush: W79 | 4 to a Flush: W79K | |
| 3 to a Straight Flush: W8T | 4 to a Flush: W8TK | |
| 3 to a Straight Flush: W56 | 4 to a Flush: W56A | |
| 3 to a Straight Flush: W57 | 4 to a Flush: W57A | |
| 3 to a Straight Flush: W68 | 4 to a Flush: W68A | |
| 3 to a Straight Flush: W79 | 4 to a Flush: W79A | |
| 3 to a Straight Flush: W8T | 4 to a Flush: W8TA | |
| 3 to a Straight Flush: W9J | 4 to a Flush: W9JA | |
| 4 to a Straight: 79TJ | 2 to a Natural Royal Flush: TJ | |
| 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: TJQA | 2 to a Natural Royal Flush: TJ | |
| Wild Only | 3 to a Straight Flush: W45 | |
| 3 to a Straight Flush: W58 | Wild Only | 2♣ 5♣ 8♣ 10♦ J♥ |
| 1 Pair: 55 | 3 to a Straight Flush: 567 | |
| 1 Pair: 66 | 3 to a Straight Flush: 567 | |
| 1 Pair: 77 | 3 to a Straight Flush: 567 | |
| 1 Pair: TT | 3 to a Straight Flush: 89T | |
| 1 Pair: TT | 3 to a Straight Flush: 9TJ | |
| 1 Pair: JJ | 3 to a Straight Flush: 9TJ | |
| 3 to a Straight Flush: W56 | 3 to a Wild Royal Flush: WTK | 2♣ 5♣ 6♣ 10♦ K♦ |
| 3 to a Straight Flush: W57 | 3 to a Wild Royal Flush: WTK | 2♣ 5♣ 7♣ 10♦ K♦ |
| 3 to a Straight Flush: W68 | 3 to a Wild Royal Flush: WTK | 2♣ 6♣ 8♣ 10♦ K♦ |
| 3 to a Straight Flush: W79 | 3 to a Wild Royal Flush: WTK | 2♣ 7♣ 9♣ 10♦ K♦ |
| 3 to a Straight Flush: W56 | 3 to a Wild Royal Flush: WJK | 2♣ 5♣ 6♣ J♦ K♦ |
| 3 to a Straight Flush: W57 | 3 to a Wild Royal Flush: WJK | 2♣ 5♣ 7♣ J♦ K♦ |
| 3 to a Straight Flush: W68 | 3 to a Wild Royal Flush: WJK | 2♣ 6♣ 8♣ J♦ K♦ |
| 3 to a Straight Flush: W79 | 3 to a Wild Royal Flush: WJK | 2♣ 7♣ 9♣ J♦ K♦ |
| 3 to a Straight Flush: W8T | 3 to a Wild Royal Flush: WJK | 2♣ 8♣ 10♣ J♦ K♦ |
| 3 to a Straight Flush: W56 | 3 to a Wild Royal Flush: WQK | 2♣ 5♣ 6♣ Q♦ K♦ |
| 3 to a Straight Flush: W57 | 3 to a Wild Royal Flush: WQK | 2♣ 5♣ 7♣ Q♦ K♦ |
| 3 to a Straight Flush: W68 | 3 to a Wild Royal Flush: WQK | 2♣ 6♣ 8♣ Q♦ K♦ |
| 3 to a Straight Flush: W79 | 3 to a Wild Royal Flush: WQK | 2♣ 7♣ 9♣ Q♦ K♦ |
| 3 to a Straight Flush: W8T | 3 to a Wild Royal Flush: WQK | 2♣ 8♣ 10♣ Q♦ K♦ |
| 2 to a Straight Flush: 78 | 2 to a Natural Royal Flush: JQ | 3♣ 7♦ 8♦ J♣ Q♣ |
| 3 to a Straight Flush: 789 | 1 Pair: 44 | 4♣ 4♦ 7♥ 8♥ 9♥ |
| 3 to a Straight Flush: 678 | 1 Pair: JJ | J♦ J♣ 6♥ 7♥ 8♥ |
| 3 to a Straight Flush: 678 | 1 Pair: QQ | Q♦ Q♣ 6♥ 7♥ 8♥ |
| 3 to a Straight Flush: 789 | 1 Pair: QQ | Q♦ Q♣ 7♥ 8♥ 9♥ |
| 3 to a Straight Flush: 678 | 1 Pair: KK | K♦ K♣ 6♥ 7♥ 8♥ |
| 3 to a Straight Flush: 789 | 1 Pair: KK | K♦ K♣ 7♥ 8♥ 9♥ |
| 3 to a Straight Flush: 89T | 1 Pair: KK | K♦ K♣ 8♥ 9♥ 10♥ |
| 1 Pair: 33 | 3 to a Straight Flush: 567 | 3♣ 3♦ 5♥ 6♥ 7♥ |
| 1 Pair: 44 | 3 to a Straight Flush: 567 | 4♣ 4♦ 5♥ 6♥ 7♥ |