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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 |
Royal Flush | 800 | 450,867,144 | 0.000023 | 44,210.87 | 14.44 | 0.018095 |
Four Deuces with an Ace | 400 | 584,758,140 | 0.000029 | 34,087.99 | 4.67 | 0.011734 |
Four Deuces | 200 | 2,950,550,328 | 0.000148 | 6,755.77 | 5.86 | 0.029604 |
Wild Royal Flush | 25 | 39,878,086,944 | 0.002001 | 499.85 | 1.15 | 0.050015 |
Five Aces | 160 | 7,771,255,140 | 0.000390 | 2,564.99 | 9.86 | 0.062378 |
Five 3's, 4's, 5's | 50 | 15,675,217,452 | 0.000786 | 1,271.64 | 1.89 | 0.039319 |
Five 6's through K's | 20 | 40,966,661,040 | 0.002055 | 486.57 | 0.74 | 0.041104 |
Straight Flush | 12 | 89,500,216,860 | 0.004490 | 222.72 | 0.54 | 0.053880 |
Four of a Kind | 4 | 1,290,119,216,820 | 0.064722 | 15.45 | 0.58 | 0.258888 |
Full House | 3 | 414,351,164,952 | 0.020787 | 48.11 | 0.08 | 0.062361 |
Flush | 2 | 356,885,282,004 | 0.017904 | 55.85 | 0.02 | 0.035808 |
Straight | 1 | 821,149,570,404 | 0.041195 | 24.27 | 0.00 | 0.041195 |
Three of a Kind | 1 | 5,854,334,092,704 | 0.293697 | 3.40 | 0.00 | 0.293697 |
Nothing | 0 | 10,998,613,577,268 | 0.551773 | 1.81 | 0.55 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.23 | 40.39 | 0.998079 |
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 |
Royal Flush | 800 | 446,677,860 | 0.000022 | 44,625.52 | 14.31 | 0.017927 |
Four Deuces with an Ace | 400 | 585,892,440 | 0.000029 | 34,022.00 | 4.68 | 0.011757 |
Four Deuces | 200 | 2,914,434,840 | 0.000146 | 6,839.48 | 5.79 | 0.029242 |
Wild Royal Flush | 25 | 41,134,341,696 | 0.002064 | 484.59 | 1.19 | 0.051590 |
Five Aces | 160 | 7,833,055,020 | 0.000393 | 2,544.76 | 9.93 | 0.062874 |
Five 3's, 4's, 5's | 50 | 15,610,535,748 | 0.000783 | 1,276.91 | 1.88 | 0.039157 |
Five 6's through K's | 20 | 40,787,692,152 | 0.002046 | 488.71 | 0.74 | 0.040924 |
Straight Flush | 12 | 88,764,673,620 | 0.004453 | 224.56 | 0.54 | 0.053437 |
Four of a Kind | 4 | 1,286,063,868,144 | 0.064519 | 15.50 | 0.58 | 0.258074 |
Full House | 3 | 414,458,110,440 | 0.020792 | 48.09 | 0.08 | 0.062377 |
Flush | 2 | 359,073,857,016 | 0.018014 | 55.51 | 0.02 | 0.036028 |
Straight | 1 | 816,735,771,672 | 0.040974 | 24.41 | 0.00 | 0.040974 |
Three of a Kind | 1 | 5,853,212,437,284 | 0.293641 | 3.41 | 0.00 | 0.293641 |
Nothing | 0 | 11,005,609,169,268 | 0.552124 | 1.81 | 0.55 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.23 | 40.29 | 0.998003 |
The following tables show the basic strategy:
Basic Strategy — No Wilds Dealt | |
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Type of Play | Play Details |
Pat Hand | 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 | AAA |
Pat Hand | Flush; Full House; Straight Flush |
3 of a Kind | 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK |
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 |
Pat Hand | Straight |
1 Pair | AA |
1 Pair | 33; 44; 55 |
1 Pair | 66; 77; 88; 99; TT; JJ; QQ; KK |
4 to a Flush | (more)3458; 3459; 345T; 345J; 345Q; 345K; 346A; 3468; 3469; 346T; 346J; 346Q... |
3 to a Straight Flush | (more)345; 346; 347; 356; 357; 367; 456; 457; 458; 467; 468; 478; 567; 568... |
2 to a Natural Royal Flush | TJ; TQ; JQ |
Garbage | Discard everything |
Basic Strategy — One Wild Dealt | |
---|---|
Type of Play | Play Details |
Pat Hand | (more)Straight Flush; Five 6's through K's; Five 3's, 4's, 5's; Five Aces... |
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 |
3 of a Kind | WAA |
Pat Hand | Full House |
4 to a Straight Flush | (more)W345; W456; W457; W467; W567; W568; W578; W678; W679; W689; W789; W78T... |
3 of a Kind | W33; W44; W55 |
Pat Hand | Flush |
4 to a Straight Flush | (more)WA34; WA35; WA45; W346; W347; W356; W357; W367; W458; W468; W478; W569... |
3 of a Kind | W66; W77; W88; W99; WTT; WJJ; WQQ; WKK |
3 to a Wild Royal Flush | WTJ; WTQ |
3 to a Wild Royal Flush | WTK; WJQ; WJK; WQK |
Pat Hand | Straight |
3 to a Straight Flush | W67; W78; W89; W9T |
3 to a Wild Royal Flush | WTA; WJA; WQA; WKA |
1 Pair | WA |
Wild Only |
Basic Strategy — Two Wilds Dealt | |
---|---|
Type of Play | Play Details |
Pat Hand | (more)Straight Flush; Five 6's through K's; Five 3's, 4's, 5's; Five Aces... |
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 |
3 of a Kind | WWA |
4 to a Straight Flush | WW67; WW78; WW89; WW9T |
Wilds Only |
Basic Strategy — Three Wilds Dealt | |
---|---|
Type of Play | Play Details |
Pat Hand | Five 6's through K's; Five 3's, 4's, 5's; Five Aces; Wild Royal Flush |
4 of a Kind | WWWA |
Wilds Only |
Basic Strategy — Four Wilds Dealt | |
---|---|
Type of Play | Play Details |
Pat Hand | Four Deuces with an Ace |
Wilds Only |
The following table shows the exceptions to the basic strategy:
Basic Strategy Exceptions | ||
---|---|---|
Right Play | Wrong Play | Pattern(s) |
Wild Only | 1 Pair: WA | |
Wild Only | 3 to a Wild Royal Flush: WKA | |
2 to a Natural Royal Flush: TK | Garbage: Discard everything | |
Wild Only | 3 to a Wild Royal Flush: WQA | |
Wild Only | 3 to a Wild Royal Flush: WJA | |
2 to a Natural Royal Flush: JK | Garbage: Discard everything | |
Wild Only | 3 to a Wild Royal Flush: WTA | |
2 to a Natural Royal Flush: QK | Garbage: Discard everything | |
Wild Only | 3 to a Straight Flush: W78 | 2♣ 3♣ 6♦ 7♣ 8♣ |
Garbage: Discard everything | 2 to a Natural Royal Flush: TQ | 3♣ 10♣ J♦ Q♣ K♦ |
Garbage: Discard everything | 2 to a Natural Royal Flush: JQ | 3♣ 10♦ J♣ Q♣ K♦ |