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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 | 459,795,228 | 0.000023 | 43,352.41 | 14.73 | 0.018453 |
Four Deuces | 200 | 3,685,781,808 | 0.000185 | 5,408.14 | 7.32 | 0.036981 |
Wild Royal Flush | 25 | 38,487,779,064 | 0.001931 | 517.91 | 1.11 | 0.048271 |
Five of a Kind | 10 | 58,817,533,512 | 0.002951 | 338.90 | 0.24 | 0.029507 |
Straight Flush | 10 | 107,536,722,600 | 0.005395 | 185.36 | 0.44 | 0.053948 |
Four of a Kind | 4 | 1,205,189,306,952 | 0.060461 | 16.54 | 0.55 | 0.241845 |
Full House | 4 | 520,269,271,632 | 0.026101 | 38.31 | 0.24 | 0.104402 |
Flush | 3 | 418,965,037,572 | 0.021018 | 47.58 | 0.09 | 0.063055 |
Straight | 2 | 1,157,382,836,556 | 0.058063 | 17.22 | 0.06 | 0.116126 |
Three of a Kind | 1 | 5,314,978,972,224 | 0.266639 | 3.75 | 0.00 | 0.266639 |
Nothing | 0 | 11,107,457,480,052 | 0.557233 | 1.79 | 0.53 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.26 | 25.31 | 0.979229 |
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 | 459,614,172 | 0.000023 | 43,369.49 | 14.72 | 0.018446 |
Four Deuces | 200 | 3,648,782,028 | 0.000183 | 5,462.98 | 7.25 | 0.036610 |
Wild Royal Flush | 25 | 38,392,675,872 | 0.001926 | 519.19 | 1.11 | 0.048152 |
Five of a Kind | 10 | 58,683,752,592 | 0.002944 | 339.67 | 0.24 | 0.029440 |
Straight Flush | 10 | 108,868,861,500 | 0.005462 | 183.09 | 0.44 | 0.054617 |
Four of a Kind | 4 | 1,203,638,232,180 | 0.060384 | 16.56 | 0.55 | 0.241534 |
Full House | 4 | 520,336,018,944 | 0.026104 | 38.31 | 0.24 | 0.104416 |
Flush | 3 | 419,599,242,672 | 0.021050 | 47.51 | 0.09 | 0.063151 |
Straight | 2 | 1,157,750,659,704 | 0.058081 | 17.22 | 0.06 | 0.116163 |
Three of a Kind | 1 | 5,315,680,340,364 | 0.266674 | 3.75 | 0.00 | 0.266674 |
Nothing | 0 | 11,106,172,337,172 | 0.557169 | 1.79 | 0.53 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.26 | 25.24 | 0.979202 |
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 | 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; TQ; JQ |
4 to a Straight | (more)3456; 3457; 4678; 5679; 5689; 5789; 678T; 679T; 689T; 789J; 78TJ; 79TJ... |
3 to a Straight Flush | A34; A35; A45 |
4 to a Straight | 3467; 3567; 4568; 4578 |
2 to a Natural Royal Flush | TK; JK; QK |
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; W456; W457; W467; W567; W568; W578; W678; W679; W689; W789; W78T... |
Pat Hand | Straight |
4 to a Straight Flush | (more)W346; W347; W356; W357; W367; W458; W468; W478; W569; W579; W589; W67T... |
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; WQK |
3 to a Straight Flush | W67; W78; W89; W9T |
3 to a Wild Royal Flush | WTA; WJA; WQA |
3 to a Straight Flush | W8T |
3 to a Wild Royal Flush | WKA |
3 to a Straight Flush | W68; W9J |
3 to a Straight Flush | W45; W56; W57; W79 |
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 to a Wild Royal Flush | WWTJ; WWTQ; WWTK; WWJQ; WWJK; WWQK |
4 of a Kind | WW33; WW44; WW55; WW66; WW77; WW88; WW99; WWTT; WWJJ; WWQQ; WWKK; WWAA |
4 to a Wild Royal Flush | WWTA; WWJA; WWQA; WWKA |
4 to a Straight Flush | WW79; WW9T |
4 to a Straight Flush | (more)WW34; WW35; WW45; WW46; WW47; WW56; WW57; WW58; WW67; WW68; WW69; WW78... |
Wilds Only |
Basic Strategy — Three Wilds Dealt | |
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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) |
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 | |
Wild Only | 3 to a Straight Flush: W45 | |
2 to a Straight Flush: 67 | Garbage: Discard everything | |
Garbage: Discard everything | 2 to a Natural Royal Flush: QK | |
2 to a Natural Royal Flush: TA | Garbage: Discard everything | |
Wilds Only | 4 to a Straight Flush: WW34 | |
Wilds Only | 4 to a Straight Flush: WW35 | |
2 to a Natural Royal Flush: JA | Garbage: Discard everything | |
Garbage: Discard everything | 2 to a Natural Royal Flush: JK | |
Wilds Only | 4 to a Straight Flush: WW46 | |
2 to a Natural Royal Flush: QA | Garbage: Discard everything | |
Wilds Only | 4 to a Straight Flush: WW47 | |
Garbage: Discard everything | 2 to a Natural Royal Flush: TK | |
2 to a Natural Royal Flush: TK | 4 to a Straight: 678T | |
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 | |
Wilds Only | 4 to a Straight Flush: WW58 | |
Wilds Only | 4 to a Straight Flush: WW69 | |
Wilds Only | 4 to a Straight Flush: WW9Q | |
Wilds Only | 4 to a Straight Flush: WW8J | |
3 to a Straight Flush: W8T | 3 to a Wild Royal Flush: WTA | 2♣ 8♣ 10♣ K♦ A♣ |
Wilds Only | 4 to a Straight Flush: WW7T | |
2 to a Natural Royal Flush: KA | Garbage: Discard everything | 7♣ 8♦ 9♥ K♠ A♠ |
4 to a Straight Flush: WW57 | 4 to a Straight Flush: WW7T | 2♣ 2♦ 5♣ 7♣ 10♣ |
4 to a Straight Flush: WW68 | 4 to a Straight Flush: WW8J | 2♣ 2♦ 6♣ 8♣ J♣ |