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Video Poker Strategy Calculator
简介
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 | 170,358,768 | 0.000014 | 70,798.11 | 8.98 | 0.011300 |
| Wild Royal Flush | 100 | 2,554,820,928 | 0.000212 | 4,720.91 | 2.02 | 0.021182 |
| Five of a Kind | 50 | 3,812,658,096 | 0.000316 | 3,163.43 | 0.71 | 0.015806 |
| Straight Flush | 25 | 11,065,525,416 | 0.000917 | 1,089.97 | 0.47 | 0.022936 |
| Four of a Kind | 80 | 259,990,409,856 | 0.021556 | 46.39 | 129.62 | 1.724492 |
| Full House | 5 | 147,417,084,864 | 0.012223 | 81.82 | 0.08 | 0.061113 |
| Flush | 4 | 148,526,497,044 | 0.012315 | 81.20 | 0.03 | 0.049258 |
| Straight | 3 | 294,576,092,940 | 0.024424 | 40.94 | 0.01 | 0.073271 |
| Three of a Kind | 2 | 2,455,957,928,424 | 0.203627 | 4.91 | 0.04 | 0.407253 |
| Two Pair | 1 | 821,540,743,812 | 0.068115 | 14.68 | 0.14 | 0.068115 |
| Nothing | 0 | 7,915,467,317,532 | 0.656282 | 1.52 | 3.95 | 0.000000 |
| Totals | 12,061,079,437,680 | 1.000000 | 2.91 | 146.06 | 2.454726 | |
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 | 170,358,768 | 0.000014 | 70,798.11 | 8.98 | 0.011300 |
| Wild Royal Flush | 100 | 2,554,820,928 | 0.000212 | 4,720.91 | 2.02 | 0.021182 |
| Five of a Kind | 50 | 3,812,658,096 | 0.000316 | 3,163.43 | 0.71 | 0.015806 |
| Straight Flush | 25 | 11,059,026,444 | 0.000917 | 1,090.61 | 0.47 | 0.022923 |
| Four of a Kind | 80 | 259,990,409,856 | 0.021556 | 46.39 | 129.62 | 1.724492 |
| Full House | 5 | 147,417,084,864 | 0.012223 | 81.82 | 0.08 | 0.061113 |
| Flush | 4 | 148,503,030,696 | 0.012313 | 81.22 | 0.03 | 0.049250 |
| Straight | 3 | 294,614,658,696 | 0.024427 | 40.94 | 0.01 | 0.073281 |
| Three of a Kind | 2 | 2,455,949,327,988 | 0.203626 | 4.91 | 0.04 | 0.407252 |
| Two Pair | 1 | 821,540,743,812 | 0.068115 | 14.68 | 0.14 | 0.068115 |
| Nothing | 0 | 7,915,467,317,532 | 0.656282 | 1.52 | 3.95 | 0.000000 |
| Totals | 12,061,079,437,680 | 1.000000 | 2.91 | 146.06 | 2.454713 | |
The following tables show the basic strategy:
| Basic Strategy — No Jokers Dealt | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Four of a Kind; Straight Flush; Natural Royal Flush |
| 4 to a Natural Royal Flush | TJQA; TJQK; TJKA; TQKA; JQKA |
| 3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
| Pat Hand | Straight; Flush |
| 4 to a Straight Flush | (more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... |
| 1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT; JJ; QQ; KK; AA |
| 3 to a Natural Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
| 4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
| 3 to a Straight Flush | 345; 456; 567; 678; 789; 89T; 9TJ |
| 4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK |
| 3 to a Straight Flush | (more)234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 79T; 89J... |
| Garbage | Discard everything |
| Basic Strategy — One Joker Dealt | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Four of a Kind; Straight Flush; Wild Royal Flush |
| 4 of a Kind | (more)W222; W333; W444; W555; W666; W777; W888; W999; WTTT; WJJJ; WQQQ; WKKK... |
| 3 of a Kind | W22; W33; W44; W55; W66; W77; W88; W99; WTT; WJJ; WQQ; WKK; WAA |
| 4 to a Wild Royal Flush | WTJA; WTJQ; WTJK; WTQA; WTQK; WTKA; WJQA; WJQK; WJKA; WQKA |
| 4 to a Straight Flush | W345; W456; W567; W678; W789; W89T; W9TJ |
| Pat Hand | Flush |
| 4 to a Straight Flush | (more)W234; W235; W245; W346; W356; W457; W467; W568; W578; W679; W689; W78T... |
| Pat Hand | Straight |
| 4 to a Straight Flush | (more)WA23; WA24; WA25; WA34; WA35; WA45; W236; W246; W256; W347; W357; W367... |
| Wild Only | |
| Basic Strategy — Two Jokers Dealt | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Four of a Kind; Straight Flush; Wild Royal Flush |
| 4 to a Wild Royal Flush | WWTA; WWTJ; WWTQ; WWTK; WWJA; WWJQ; WWJK; WWQA; WWQK; WWKA |
| 3 of a Kind | WWT |
| 3 of a Kind | WWJ |
| 3 of a Kind | WWQ |
| 3 of a Kind | WWA |
| 3 of a Kind | WWK |
| 3 of a Kind | WW9 |
| 3 of a Kind | WW8 |
| 3 of a Kind | WW7 |
| 3 of a Kind | WW6 |
| 3 of a Kind | WW5 |
| 3 of a Kind | WW4 |
The following table shows the exceptions to the basic strategy:
| Basic Strategy Exceptions | ||
|---|---|---|
| Right Play | Wrong Play | Pattern(s) |
| 3 of a Kind: WWA | 3 of a Kind: WWQ | |
| 3 of a Kind: WW6 | 3 of a Kind: WW9 | |
| 3 of a Kind: WW5 | 3 of a Kind: WW8 | |
| 3 of a Kind: WW5 | 3 of a Kind: WW9 | |
| 3 of a Kind: WW7 | 3 of a Kind: WW9 | |
| 3 of a Kind: WW8 | 3 of a Kind: WW9 | |
| 3 of a Kind: WW6 | 3 of a Kind: WW8 | |
| 3 of a Kind: WW7 | 3 of a Kind: WW8 | |
| 3 of a Kind: WW5 | 3 of a Kind: WW7 | |
| 3 of a Kind: WW6 | 3 of a Kind: WW7 | |
| 3 of a Kind: WW5 | 3 of a Kind: WW6 | |
| 3 of a Kind: WW4 | 3 of a Kind: WW7 | |
| 3 of a Kind: WW4 | 3 of a Kind: WW8 | |
| 3 of a Kind: WW4 | 3 of a Kind: WW9 | |
| 3 of a Kind: WWJ | 3 of a Kind: WWT | |
| 3 of a Kind: WWA | 3 of a Kind: WWJ | |
| 3 of a Kind: WW4 | 3 of a Kind: WW5 | W W 3♣ 4♦ 5♣ |
| 3 of a Kind: WW4 | 3 of a Kind: WW6 | W W 4♣ 5♦ 6♦ |
| 3 of a Kind: WWQ | 3 of a Kind: WWJ | W W 9♣ J♣ Q♦ |