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Video Poker Strategy Calculator
簡介
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 | 955 | 554,052,480 | 0.000028 | 35,977.15 | 25.30 | 0.026545 |
| Straight Flush | 50 | 2,217,419,724 | 0.000111 | 8,989.38 | 0.27 | 0.005562 |
| Four of a Kind | 25 | 46,930,009,080 | 0.002354 | 424.74 | 1.36 | 0.058859 |
| Full House | 7 | 228,884,213,160 | 0.011483 | 87.09 | 0.42 | 0.080378 |
| Flush | 6 | 221,604,240,636 | 0.011117 | 89.95 | 0.28 | 0.066704 |
| Straight | 4 | 226,291,826,388 | 0.011352 | 88.09 | 0.10 | 0.045410 |
| Three of a Kind | 3 | 1,477,739,437,140 | 0.074134 | 13.49 | 0.30 | 0.222403 |
| Two Pair | 2 | 2,568,923,737,740 | 0.128876 | 7.76 | 0.14 | 0.257753 |
| Jacks or Better | 1 | 4,242,452,826,780 | 0.212833 | 4.70 | 0.00 | 0.212833 |
| Nothing | 0 | 10,917,632,754,072 | 0.547710 | 1.83 | 0.52 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 28.69 | 0.976447 | |
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 | 955 | 554,307,900 | 0.000028 | 35,960.57 | 25.31 | 0.026557 |
| Straight Flush | 50 | 2,208,286,524 | 0.000111 | 9,026.56 | 0.27 | 0.005539 |
| Four of a Kind | 25 | 46,925,615,856 | 0.002354 | 424.78 | 1.36 | 0.058854 |
| Full House | 7 | 228,874,302,864 | 0.011482 | 87.09 | 0.42 | 0.080374 |
| Flush | 6 | 221,479,789,176 | 0.011111 | 90.00 | 0.28 | 0.066667 |
| Straight | 4 | 226,081,816,968 | 0.011342 | 88.17 | 0.10 | 0.045368 |
| Three of a Kind | 3 | 1,477,624,447,056 | 0.074129 | 13.49 | 0.30 | 0.222386 |
| Two Pair | 2 | 2,568,868,720,272 | 0.128874 | 7.76 | 0.14 | 0.257747 |
| Jacks or Better | 1 | 4,244,066,008,416 | 0.212914 | 4.70 | 0.00 | 0.212914 |
| Nothing | 0 | 10,916,547,222,168 | 0.547656 | 1.83 | 0.52 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 28.70 | 0.976406 | |
The following table shows the basic strategy:
| Basic Strategy | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Full House; 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; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
| Pat Hand | Straight; Flush |
| 2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA... |
| 4 to a Straight Flush | (more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... |
| 3 to a Royal Flush | TJQ; JQA; JQK; JKA; QKA |
| 1 Pair | JJ; QQ; KK |
| 3 to a Royal Flush | TJK; TQK |
| 1 Pair | AA |
| 3 to a Royal Flush | TJA; TQA; TKA |
| 4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
| 4 to a Straight | 9TJQ; TJQK |
| 1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
| 4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ |
| 3 to a Straight Flush | 678; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK |
| 2 to a Royal Flush | JQ |
| 3 to a Straight Flush | 345; 456; 567; 789 |
| 4 to a Straight | JQKA |
| 2 to a Royal Flush | JA; JK; QA; QK; KA |
| 4 to a Straight | 9JQK; TJQA; TJKA |
| 3 to a Straight Flush | (more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568... |
| 4 to a Straight | TQKA |
| 3 to a Straight Flush | 9TK |
| 3 to a Straight | JQK |
| 2 to a Royal Flush | TJ |
| 2 to a Straight | JQ; JK; QK |
| 2 to a Straight | JA; KA |
| 2 to a Royal Flush | TQ; TK |
| 2 to a Straight | QA |
| 2 to a Royal Flush | TA |
| Single Card | a Jack; a Queen; a King; an Ace |
| 3 to a Straight Flush | 236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T |
| Garbage | Discard everything |
The following table shows the exceptions to the basic strategy:
| Basic Strategy Exceptions | ||
|---|---|---|
| Right Play | Wrong Play | Pattern(s) |
| Single Card: an Ace | 2 to a Royal Flush: TA | |
| 2 to a Royal Flush: TQ | 2 to a Straight: QK | |
| 2 to a Royal Flush: TK | 2 to a Straight: KA | |
| 2 to a Straight: JQ | 2 to a Royal Flush: TJ | |
| 2 to a Straight: JK | 2 to a Royal Flush: TJ | |
| 3 to a Royal Flush: TJK | 1 Pair: JJ | |
| 3 to a Royal Flush: TQK | 1 Pair: QQ | |
| 3 to a Royal Flush: TJK | 1 Pair: KK | |
| 3 to a Royal Flush: TQK | 1 Pair: KK | |
| 2 to a Straight: QA | 2 to a Royal Flush: TQ | |
| 4 to a Straight: JQKA | 2 to a Royal Flush: JQ | |
| 1 Pair: JJ | 3 to a Royal Flush: JQA | |
| 1 Pair: QQ | 3 to a Royal Flush: JQA | |
| 1 Pair: AA | 3 to a Royal Flush: JQA | |
| 1 Pair: JJ | 3 to a Royal Flush: JKA | |
| 1 Pair: KK | 3 to a Royal Flush: JKA | |
| 1 Pair: AA | 3 to a Royal Flush: JKA | |
| 1 Pair: QQ | 3 to a Royal Flush: QKA | |
| 1 Pair: KK | 3 to a Royal Flush: QKA | |
| 1 Pair: AA | 3 to a Royal Flush: QKA | |
| 3 to a Straight Flush: 79J | 4 to a Straight: 9JQK | 7♣ 9♣ J♣ Q♦ K♥ |
| 3 to a Straight Flush: 7TJ | 4 to a Straight: TJQA | 7♣ 10♣ J♣ Q♦ A♥ |
| 3 to a Straight Flush: 7TJ | 4 to a Straight: TJKA | 7♣ 10♣ J♣ K♦ A♥ |