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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 |
| Five Aces | 1,200 | 243,287,016 | 0.000010 | 100,987.16 | 14.24 | 0.011883 |
| Royal Flush | 800 | 558,138,780 | 0.000023 | 44,019.28 | 14.50 | 0.018174 |
| Straight Flush | 100 | 2,593,608,756 | 0.000106 | 9,472.85 | 1.04 | 0.010556 |
| Four Aces | 80 | 25,356,264,216 | 0.001032 | 968.95 | 6.45 | 0.082564 |
| Four 2's, 3's, 4's | 40 | 11,962,863,000 | 0.000487 | 2,053.76 | 0.74 | 0.019476 |
| Four 5's through K's | 25 | 36,657,506,160 | 0.001492 | 670.23 | 0.86 | 0.037301 |
| Full House | 8 | 270,403,388,892 | 0.011006 | 90.86 | 0.55 | 0.088047 |
| Flush | 5 | 240,509,938,644 | 0.009789 | 102.15 | 0.16 | 0.048946 |
| Straight | 4 | 281,152,995,036 | 0.011443 | 87.39 | 0.11 | 0.045774 |
| Three of a Kind | 3 | 1,987,831,308,624 | 0.080909 | 12.36 | 0.34 | 0.242726 |
| Two Pair | 1 | 3,034,424,322,108 | 0.123507 | 8.10 | 0.00 | 0.123507 |
| Jacks or Better | 1 | 5,662,982,006,100 | 0.230494 | 4.34 | 0.00 | 0.230494 |
| Nothing | 0 | 13,014,189,893,868 | 0.529703 | 1.89 | 0.49 | 0.000000 |
| Totals | 24,568,865,521,200 | 1.000000 | 2.13 | 39.46 | 0.959448 | |
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 |
| Five Aces | 1,200 | 243,399,480 | 0.000010 | 100,940.50 | 14.24 | 0.011888 |
| Royal Flush | 800 | 553,595,868 | 0.000023 | 44,380.51 | 14.39 | 0.018026 |
| Straight Flush | 100 | 2,576,850,168 | 0.000105 | 9,534.46 | 1.03 | 0.010488 |
| Four Aces | 80 | 25,377,325,080 | 0.001033 | 968.14 | 6.45 | 0.082632 |
| Four 2's, 3's, 4's | 40 | 11,968,475,112 | 0.000487 | 2,052.80 | 0.74 | 0.019486 |
| Four 5's through K's | 25 | 36,663,228,360 | 0.001492 | 670.12 | 0.86 | 0.037307 |
| Full House | 8 | 270,490,839,948 | 0.011009 | 90.83 | 0.55 | 0.088076 |
| Flush | 5 | 239,727,534,384 | 0.009757 | 102.49 | 0.16 | 0.048787 |
| Straight | 4 | 280,355,023,224 | 0.011411 | 87.63 | 0.11 | 0.045644 |
| Three of a Kind | 3 | 1,988,793,228,264 | 0.080948 | 12.35 | 0.34 | 0.242843 |
| Two Pair | 1 | 3,035,541,491,172 | 0.123552 | 8.09 | 0.00 | 0.123552 |
| Jacks or Better | 1 | 5,668,222,362,012 | 0.230708 | 4.33 | 0.00 | 0.230708 |
| Nothing | 0 | 13,008,352,168,128 | 0.529465 | 1.89 | 0.49 | 0.000000 |
| Totals | 24,568,865,521,200 | 1.000000 | 2.13 | 39.35 | 0.959437 | |
The following tables show the basic strategy:
| Basic Strategy — Ace of Stars Not Dealt | |
|---|---|
| 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 | AAA |
| Pat Hand | Full House |
| 4 to a Straight Flush | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ |
| 3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK |
| Pat Hand | Straight; Flush |
| 4 to a Straight Flush | (more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578... |
| 1 Pair | AA |
| 2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344... |
| 3 to a Royal Flush | TJQ; JQK |
| 1 Pair | JJ; QQ; KK |
| 3 to a Royal Flush | TJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA |
| 4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
| 4 to a Straight | 2345; 5678; 6789; 789T; 9TJQ; TJQK |
| 3 to a Straight Flush | 9TJ; 9JQ |
| 1 Pair | 22; 33; 44 |
| 4 to a Straight | 3456; 4567; 89TJ; JQKA |
| 3 to a Straight Flush | 345; 456; 567; 678; 789; 89T |
| 1 Pair | 55; 66; 77; 88; 99; TT |
| 3 to a Straight Flush | 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK |
| 2 to a Royal Flush | JA; QA; KA |
| Single Card | an Ace |
| 2 to a Royal Flush | JQ |
| 3 to a Straight Flush | 234; 235; 245; 7TJ; 8TQ; 9TK |
| 2 to a Royal Flush | JK |
| 3 to a Straight Flush | 78T; 79T |
| 2 to a Royal Flush | QK |
| 4 to a Straight | 9JQK |
| 3 to a Straight Flush | 346; 356; 457; 467; 568; 578; 679; 689; 78J; 79J; 89Q |
| 4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK |
| 3 to a Straight | TJQ; JQK |
| 2 to a Straight | JQ; JK; QK |
| 2 to a Royal Flush | TJ; TQ |
| Single Card | a Jack; a Queen; a King |
| 3 to a Straight Flush | 236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T |
| Garbage | Discard everything |
| Basic Strategy — Ace of Stars Dealt | |
|---|---|
| Type of Play | Play Details |
| Pat Hand | Five Aces |
| 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 | AAA |
| Pat Hand | Full House |
| 4 to a Straight Flush | (more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... |
| 3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK |
| Pat Hand | Straight |
| 1 Pair | AA |
| 2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344... |
| 3 to a Royal Flush | TJQ; JQK |
| 1 Pair | 22; 33; 44; JJ; QQ; KK |
| 3 to a Royal Flush | TJK; TQK |
| 4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
| 4 to a Straight | 3456; 4567; 5678; 6789; 789T; 9TJQ |
| 3 to a Straight Flush | 345; 456; 567; 678; 789; 9TJ; 9JQ |
| 4 to a Straight | 89TJ; JQKA |
| 3 to a Straight Flush | 89T |
| 1 Pair | 55; 66; 77; 88; 99; TT |
| 3 to a Straight Flush | 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK |
| 2 to a Royal Flush | JQ |
| 4 to a Straight | TJQA; TJKA; TQKA |
| Single Card | an Ace |
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 Royal Flush: JQ | Single Card: an Ace | |
| 2 to a Royal Flush: TJ | 2 to a Straight: JK | |
| 4 to a Straight: 9JQK | 2 to a Royal Flush: JK | |
| 4 to a Straight: 9JQK | 2 to a Royal Flush: QK | |
| 3 to a Straight Flush: 345 | 4 to a Straight: 3456 | |
| 2 to a Royal Flush: JK | Single Card: an Ace | |
| 2 to a Royal Flush: QK | Single Card: an Ace | |
| 3 to a Straight Flush: 345 | 1 Pair: 33 | |
| 3 to a Straight Flush: 345 | 1 Pair: 44 | |
| Single Card: an Ace | 2 to a Royal Flush: JQ | |
| 4 to a Straight: TJQA | 2 to a Royal Flush: JQ | |
| 4 to a Straight: 89TJ | 3 to a Straight Flush: 9TJ | 8♣ 8♦ 9♥ 10♥ J♥ |