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Video Poker Strategy Calculator
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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 | 439,106,088 | 0.000022 | 45,395.02 | 14.06 | 0.017623 |
| Four Deuces | 600 | 4,472,085,312 | 0.000224 | 4,457.26 | 80.50 | 0.134612 |
| Wild Royal Flush | 20 | 26,810,200,056 | 0.001345 | 743.49 | 0.49 | 0.026900 |
| Five of a Kind | 9 | 64,586,447,928 | 0.003240 | 308.63 | 0.21 | 0.029161 |
| Straight Flush | 6 | 71,687,988,636 | 0.003596 | 278.06 | 0.09 | 0.021578 |
| Four of a Kind | 4 | 1,325,298,416,904 | 0.066487 | 15.04 | 0.60 | 0.265948 |
| Full House | 3 | 423,922,301,424 | 0.021267 | 47.02 | 0.09 | 0.063801 |
| Flush | 2 | 304,117,472,292 | 0.015257 | 65.54 | 0.02 | 0.030514 |
| Straight | 2 | 1,109,968,702,044 | 0.055684 | 17.96 | 0.06 | 0.111369 |
| Three of a Kind | 1 | 5,722,722,885,012 | 0.287095 | 3.48 | 0.00 | 0.287095 |
| Nothing | 0 | 10,879,204,911,504 | 0.545782 | 1.83 | 0.53 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.20 | 96.64 | 0.988601 | |
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 | 439,954,332 | 0.000022 | 45,307.50 | 14.09 | 0.017657 |
| Four Deuces | 600 | 4,472,339,700 | 0.000224 | 4,457.00 | 80.51 | 0.134620 |
| Wild Royal Flush | 20 | 26,825,119,656 | 0.001346 | 743.08 | 0.49 | 0.026915 |
| Five of a Kind | 9 | 64,588,090,080 | 0.003240 | 308.62 | 0.21 | 0.029162 |
| Straight Flush | 6 | 71,559,918,456 | 0.003590 | 278.55 | 0.09 | 0.021540 |
| Four of a Kind | 4 | 1,325,384,924,220 | 0.066491 | 15.04 | 0.60 | 0.265965 |
| Full House | 3 | 423,965,725,056 | 0.021269 | 47.02 | 0.09 | 0.063808 |
| Flush | 2 | 303,300,239,676 | 0.015216 | 65.72 | 0.02 | 0.030432 |
| Straight | 2 | 1,109,930,523,852 | 0.055682 | 17.96 | 0.06 | 0.111365 |
| Three of a Kind | 1 | 5,723,482,283,388 | 0.287133 | 3.48 | 0.00 | 0.287133 |
| Nothing | 0 | 10,879,281,398,784 | 0.545786 | 1.83 | 0.53 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.20 | 96.68 | 0.988596 | |
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 |
| 3 to a Natural Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
| 4 to a Straight Flush | (more)A345; 3456; 3457; 3467; 3567; 4567; 4568; 4578; 4678; 5678; 5679; 5689... |
| 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)456; 457; 467; 567; 568; 578; 678; 679; 689; 789; 78T; 79T; 89T; 89J... |
| 4 to a Straight | (more)3456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789; 689T; 789J... |
| 2 to a Natural Royal Flush | TJ |
| 3 to a Straight Flush | 345 |
| 4 to a Straight | 678T; 679T; 78TJ; 79TJ; TJQA; TJKA |
| 2 to a Natural Royal Flush | TQ; JQ |
| 3 to a Straight Flush | 579; 67T; 68T; 69T; 78J; 79J |
| 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 | Straight; Flush |
| 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 |
| 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; WJQ |
| 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; WWJQ |
| 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) |
| Garbage: Discard everything | 2 to a Natural Royal Flush: JQ | |
| Garbage: Discard everything | 2 to a Natural Royal Flush: TQ | |
| 4 to a Straight: 79TJ | 2 to a Natural Royal Flush: TJ | |
| 2 to a Natural Royal Flush: TJ | 4 to a Straight: 8TJQ | |
| 2 to a Natural Royal Flush: TJ | 4 to a Straight: 9TJK | |
| 4 to a Straight: 78TJ | 2 to a Natural Royal Flush: TJ | |
| 3 to a Straight Flush: 89Q | Garbage: Discard everything | |
| 3 to a Straight Flush: 589 | Garbage: Discard everything | |
| 4 to a Straight: TJQA | 2 to a Natural Royal Flush: TJ | |
| Garbage: Discard everything | 3 to a Straight Flush: 579 | |
| 3 to a Straight Flush: 9TK | Garbage: Discard everything | |
| 3 to a Straight Flush: 478 | Garbage: Discard everything | |
| 3 to a Straight Flush: 569 | Garbage: Discard everything | |
| 3 to a Straight Flush: 468 | Garbage: Discard everything | |
| 3 to a Straight Flush: 9JK | Garbage: Discard everything | |
| Garbage: Discard everything | 3 to a Straight Flush: 78J | |
| Garbage: Discard everything | 3 to a Straight Flush: 68T | |
| Garbage: Discard everything | 3 to a Straight Flush: 69T | |
| Garbage: Discard everything | 3 to a Straight Flush: 79J | |
| 3 to a Straight Flush: 458 | Garbage: Discard everything | |
| 4 to a Straight: TJKA | 2 to a Natural Royal Flush: TJ | |
| 3 to a Wild Royal Flush: WTK | Wild Only | |
| 3 to a Straight Flush: 357 | Garbage: Discard everything | |
| 3 to a Straight Flush: 9QK | Garbage: Discard everything | |
| Garbage: Discard everything | 3 to a Straight Flush: 67T | |
| 3 to a Straight Flush: 8TQ | 2 to a Natural Royal Flush: TQ | |
| 3 to a Straight Flush: 367 | Garbage: Discard everything | |
| 3 to a Straight Flush: 8JQ | 2 to a Natural Royal Flush: JQ | |
| 2 to a Natural Royal Flush: TK | Garbage: Discard everything | 5♣ 7♦ 8♥ 10♠ K♠ |
| 3 to a Straight Flush: 356 | Garbage: Discard everything | 3♣ 5♣ 6♣ 10♦ J♥ |
| 3 to a Straight Flush: 347 | Garbage: Discard everything | 3♣ 4♣ 7♣ 10♦ J♥ |