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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 |
| Royal Flush | 800 | 468,334,044 | 0.000023 | 42,561.99 | 14.99 | 0.018796 |
| Straight Flush | 160 | 2,620,031,820 | 0.000131 | 7,608.01 | 3.32 | 0.021030 |
| Four Aces | 800 | 4,908,458,772 | 0.000246 | 4,061.00 | 157.13 | 0.196996 |
| Four 2's, 3's, 4's | 160 | 10,858,371,696 | 0.000545 | 1,835.75 | 13.74 | 0.087158 |
| Four 5's through K's | 80 | 32,362,971,492 | 0.001624 | 615.93 | 10.08 | 0.129886 |
| Full House | 7 | 210,839,845,896 | 0.010577 | 94.54 | 0.36 | 0.074041 |
| Flush | 5 | 216,276,679,956 | 0.010850 | 92.17 | 0.16 | 0.054250 |
| Straight | 4 | 217,733,774,952 | 0.010923 | 91.55 | 0.09 | 0.043693 |
| Three of a Kind | 3 | 1,515,899,985,456 | 0.076049 | 13.15 | 0.25 | 0.228147 |
| Two Pair | 1 | 2,471,549,204,880 | 0.123991 | 8.07 | 0.00 | 0.123991 |
| Jacks or Better | 1 | 4,191,497,041,428 | 0.210277 | 4.76 | 0.01 | 0.210277 |
| Nothing | 0 | 11,058,215,816,808 | 0.554763 | 1.80 | 0.78 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.25 | 200.91 | 1.188265 | |
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 | 469,423,836 | 0.000024 | 42,463.18 | 15.03 | 0.018840 |
| Straight Flush | 160 | 2,621,802,732 | 0.000132 | 7,602.87 | 3.32 | 0.021045 |
| Four Aces | 800 | 4,908,700,260 | 0.000246 | 4,060.80 | 157.14 | 0.197006 |
| Four 2's, 3's, 4's | 160 | 10,858,817,520 | 0.000545 | 1,835.67 | 13.74 | 0.087162 |
| Four 5's through K's | 80 | 32,361,866,220 | 0.001624 | 615.95 | 10.08 | 0.129881 |
| Full House | 7 | 210,762,987,696 | 0.010573 | 94.58 | 0.36 | 0.074014 |
| Flush | 5 | 216,091,960,212 | 0.010841 | 92.24 | 0.16 | 0.054204 |
| Straight | 4 | 217,634,137,416 | 0.010918 | 91.59 | 0.09 | 0.043673 |
| Three of a Kind | 3 | 1,515,848,608,884 | 0.076046 | 13.15 | 0.25 | 0.228139 |
| Two Pair | 1 | 2,470,665,595,644 | 0.123947 | 8.07 | 0.00 | 0.123947 |
| Jacks or Better | 1 | 4,192,782,208,056 | 0.210341 | 4.75 | 0.01 | 0.210341 |
| Nothing | 0 | 11,058,224,408,724 | 0.554763 | 1.80 | 0.78 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.25 | 200.95 | 1.188251 | |
The following table shows the basic strategy:
| Basic Strategy | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Straight Flush; Royal Flush |
| 4 of a Kind | (more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK... |
| 4 to a Royal Flush | TJQA; TJQK; TJKA; TQKA; JQKA |
| 3 of a Kind | 222; 333; 444; AAA |
| 4 to a Straight Flush | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ |
| Pat Hand | Flush; Full House |
| 3 of a Kind | 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK |
| 4 to a Straight Flush | (more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578... |
| Pat Hand | Straight |
| 1 Pair | AA |
| 3 to a Royal Flush | TJQ; JQK |
| 2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344... |
| 1 Pair | JJ; QQ; KK |
| 3 to a Royal Flush | TJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA |
| 4 to a Flush | (more)234J; 234Q; 234K; 235J; 235Q; 235K; 236A; 236J; 236Q; 236K; 237A; 237J... |
| 1 Pair | 22; 33; 44 |
| 4 to a Flush | (more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 2367; 2368; 2369; 236T... |
| 3 to a Straight Flush | 345; 456; 567; 678; 789; 89T; 9TJ; 9JQ |
| 4 to a Straight | 9TJQ; TJQK |
| 1 Pair | 55; 66; 77; 88; 99; TT |
| 3 to a Straight Flush | 89J; 8TJ; 8JQ; 9TQ; 9QK |
| 4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ |
| 3 to a Straight Flush | 234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 79T; 9JK |
| 4 to a Straight | JQKA |
| Single Card | an Ace |
| 3 to a Straight Flush | 78J; 79J; 7TJ; 89Q; 8TQ; 9TK |
| 2 to a Royal Flush | JQ; JK; QK |
| 4 to a Straight | 9TJK; 9JQK |
| 3 to a Straight | JQK |
| 3 to a Straight Flush | 478; 569; 579; 589; 67T; 68T; 69T |
| 4 to a Straight | 89JQ; 8TJQ; 9TQK |
| 2 to a Royal Flush | TJ |
| 3 to a Straight Flush | 236; 246; 256; 347; 357; 367; 458; 468 |
| 2 to a Straight | JQ; JK; QK |
| 2 to a Royal Flush | TQ |
| Single Card | a Jack; a Queen; a King |
| Garbage | Discard everything |
The following table shows the exceptions to the basic strategy:
| Basic Strategy Exceptions | ||
|---|---|---|
| Right Play | Wrong Play | Pattern(s) |
| 2 to a Royal Flush: TK | Single Card: a King | |
| 2 to a Straight: JQ | 2 to a Royal Flush: TJ | |
| 1 Pair: JJ | 3 to a Royal Flush: JQK | |
| 1 Pair: QQ | 3 to a Royal Flush: JQK | |
| 1 Pair: KK | 3 to a Royal Flush: JQK | |
| 2 Pair: JJQQ | 3 to a Royal Flush: JQK | |
| 2 Pair: JJKK | 3 to a Royal Flush: JQK | |
| 2 Pair: QQKK | 3 to a Royal Flush: JQK | |
| 3 to a Straight Flush: 69T | 4 to a Straight: 9TJK | 6♣ 9♣ 10♣ J♦ K♥ |