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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 | 800.9608 | 375,587,820 | 0.000019 | 53,072.09 | 12.03 | 0.015092 |
Straight Flush | 50.9608 | 2,163,349,128 | 0.000109 | 9,214.06 | 0.26 | 0.005531 |
Four Aces | 80.9608 | 3,763,935,168 | 0.000189 | 5,295.85 | 1.18 | 0.015288 |
Four 2's, 3's, 4's | 40.9608 | 10,439,782,692 | 0.000524 | 1,909.35 | 0.80 | 0.021453 |
Four 5's through K's | 25.9608 | 32,013,652,908 | 0.001606 | 622.65 | 0.93 | 0.041694 |
Full House | 16.5688 | 224,495,380,512 | 0.011262 | 88.79 | 2.40 | 0.186604 |
Flush | 14.608 | 312,196,614,072 | 0.015662 | 63.85 | 2.51 | 0.228792 |
Straight | 10.7256 | 298,023,694,716 | 0.014951 | 66.88 | 1.15 | 0.160360 |
Three of a Kind | 5.8824 | 1,430,646,805,824 | 0.071772 | 13.93 | 1.10 | 0.422191 |
Two Pair | 3.9216 | 2,474,679,972,384 | 0.124148 | 8.05 | 0.48 | 0.486861 |
Jacks or Better | 1.9608 | 3,824,105,356,080 | 0.191846 | 5.21 | 0.00 | 0.376171 |
Nothing | 0 | 11,320,326,385,896 | 0.567912 | 1.76 | 2.18 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.31 | 25.01 | 1.960036 |
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 | 800.9608 | 375,806,496 | 0.000019 | 53,041.21 | 12.04 | 0.015101 |
Straight Flush | 50.9608 | 2,180,042,892 | 0.000109 | 9,143.50 | 0.26 | 0.005573 |
Four Aces | 80.9608 | 3,762,588,408 | 0.000189 | 5,297.74 | 1.18 | 0.015282 |
Four 2's, 3's, 4's | 40.9608 | 10,439,829,132 | 0.000524 | 1,909.34 | 0.80 | 0.021453 |
Four 5's through K's | 25.9608 | 32,009,604,372 | 0.001606 | 622.73 | 0.93 | 0.041689 |
Full House | 16.5688 | 224,463,440,808 | 0.011261 | 88.80 | 2.40 | 0.186577 |
Flush | 14.608 | 312,965,694,312 | 0.015701 | 63.69 | 2.51 | 0.229356 |
Straight | 10.7256 | 298,054,677,924 | 0.014953 | 66.88 | 1.15 | 0.160376 |
Three of a Kind | 5.8824 | 1,430,362,350,840 | 0.071758 | 13.94 | 1.10 | 0.422107 |
Two Pair | 3.9216 | 2,474,179,631,928 | 0.124123 | 8.06 | 0.48 | 0.486762 |
Jacks or Better | 1.9608 | 3,819,709,832,328 | 0.191625 | 5.22 | 0.00 | 0.375739 |
Nothing | 0 | 11,324,727,017,760 | 0.568133 | 1.76 | 2.18 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.32 | 25.03 | 1.960016 |
The following table shows the basic strategy:
Basic Strategy | |
---|---|
Type of Play | Play Details |
Pat Hand | Full House; Four 2's, 3's, 4's; Straight Flush; Royal Flush |
4 of a Kind | 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK; AAAA |
4 to a Royal Flush | TJQA; TJQK; TJKA; TQKA; JQKA |
Pat Hand | Straight; Flush |
3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
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... |
4 to a Flush | (more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 2367; 2368; 2369; 236T... |
1 Pair | AA |
4 to a Flush | (more)236A; 237A; 238A; 239A; 23TA; 23JA; 23QA; 23KA; 246A; 247A; 248A; 249A... |
1 Pair | JJ; QQ; KK |
4 to a Flush | (more)234J; 234Q; 234K; 235J; 235Q; 235K; 236J; 236Q; 236K; 237J; 237Q; 237K... |
3 to a Royal Flush | TJQ; TKA; JQA; JQK; JKA; QKA |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 9TJQ; TJQK |
3 to a Royal Flush | TJA; TJK; TQA; TQK |
4 to a Straight | 89TJ |
1 Pair | 22; 33; 44; 88; 99; TT |
3 to a Straight Flush | 9JQ |
1 Pair | 77 |
3 to a Straight Flush | 9TJ |
1 Pair | 55; 66 |
4 to a Straight | JQKA |
3 to a Straight Flush | 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK |
4 to a Straight | 9JQK; TJQA; TJKA; TQKA |
3 to a Flush | (more)2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA; 4JA; 4JQ... |
2 to a Royal Flush | JQ |
3 to a Straight Flush | A23; A24; A25; A34; A35; A45 |
4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK |
2 to a Royal Flush | JA; JK; QK |
3 to a Straight Flush | (more)346; 356; 457; 467; 568; 578; 679; 689; 78T; 78J; 79T; 79J; 7TJ; 89Q... |
2 to a Royal Flush | QA; KA |
3 to a Straight Flush | 234; 235; 245 |
3 to a Straight | TJQ; JQK |
4 to a Straight | A234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ |
2 to a Straight | JQ |
3 to a Flush | (more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26J; 26Q; 27J; 27Q; 27K; 28A; 28J; 28Q... |
2 to a Royal Flush | TJ |
3 to a Flush | (more)23K; 24K; 25K; 26A; 26K; 27A; 34K; 35K; 36A; 36K; 37A; 45K; 46A; 46K... |
2 to a Straight | JK; QK |
3 to a Straight Flush | 458; 468; 478; 569; 579; 589; 67T; 68T; 69T |
2 to a Royal Flush | TQ |
3 to a Straight Flush | 236; 246; 256; 347; 357; 367 |
2 to a Straight | JA; QA; KA |
2 to a Royal Flush | TK |
Single Card | a Jack; a Queen; a King; an Ace |
4 to a Straight | (more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789... |
3 to a Flush | (more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268... |
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 Straight Flush: 9T | Garbage: Discard everything | |
2 to a Straight: QA | 2 to a Royal Flush: TQ | |
2 to a Straight Flush: 89 | Garbage: Discard everything | |
2 to a Straight Flush: 45 | Garbage: Discard everything | |
Single Card: a Jack | 3 to a Straight Flush: 236 | |
Single Card: a Queen | 3 to a Straight Flush: 236 | |
Single Card: a Jack | 3 to a Straight Flush: 246 | |
Single Card: a Queen | 3 to a Straight Flush: 246 | |
Single Card: a Jack | 3 to a Straight Flush: 256 | |
Single Card: a Queen | 3 to a Straight Flush: 256 | |
Single Card: a Jack | 3 to a Straight Flush: 347 | |
Single Card: a Queen | 3 to a Straight Flush: 347 | |
Single Card: a Jack | 3 to a Straight Flush: 357 | |
Single Card: a Queen | 3 to a Straight Flush: 357 | |
Single Card: a Jack | 3 to a Straight Flush: 367 | |
Single Card: a Queen | 3 to a Straight Flush: 367 | |
Single Card: a Jack | 3 to a Straight Flush: 458 | |
Single Card: a Queen | 3 to a Straight Flush: 458 | |
Single Card: a Jack | 3 to a Straight Flush: 468 | |
Single Card: a Queen | 3 to a Straight Flush: 468 | |
Single Card: a Jack | 3 to a Straight Flush: 478 | |
Single Card: a Queen | 3 to a Straight Flush: 478 | |
Single Card: a Jack | 3 to a Straight Flush: 569 | |
Single Card: an Ace | 3 to a Straight Flush: 569 | |
Single Card: an Ace | 3 to a Straight Flush: 579 | |
Single Card: an Ace | 3 to a Straight Flush: 589 | |
Single Card: an Ace | 3 to a Straight Flush: 67T | |
Single Card: an Ace | 3 to a Straight Flush: 68T | |
Single Card: an Ace | 3 to a Straight Flush: 69T | |
Single Card: an Ace | 3 to a Straight Flush: 468 | |
Single Card: an Ace | 3 to a Straight Flush: 478 | |
Single Card: a King | 3 to a Straight Flush: 236 | |
Single Card: a King | 3 to a Straight Flush: 246 | |
Single Card: a King | 3 to a Straight Flush: 256 | |
Single Card: a King | 3 to a Straight Flush: 347 | |
Single Card: a King | 3 to a Straight Flush: 357 | |
Single Card: a King | 3 to a Straight Flush: 367 | |
Single Card: an Ace | 3 to a Straight Flush: 367 | |
Single Card: a King | 3 to a Straight Flush: 458 | |
Single Card: an Ace | 3 to a Straight Flush: 458 | |
Single Card: a King | 3 to a Straight Flush: 468 | |
Single Card: a King | 3 to a Straight Flush: 478 | |
Single Card: a Queen | 3 to a Straight Flush: 569 | |
Single Card: a King | 3 to a Straight Flush: 569 | |
Single Card: a Queen | 3 to a Straight Flush: 579 | |
Single Card: a King | 3 to a Straight Flush: 579 | |
Single Card: a Queen | 3 to a Straight Flush: 589 | |
Single Card: a King | 3 to a Straight Flush: 589 | |
Single Card: a Queen | 3 to a Straight Flush: 67T | |
Single Card: a Jack | 3 to a Straight Flush: 579 | |
Single Card: a Jack | 3 to a Straight Flush: 589 | |
3 to a Straight Flush: 67T | 2 to a Straight: JK | 6♣ 7♣ 10♣ J♦ K♥ |
3 to a Straight Flush: 68T | 2 to a Straight: JK | 6♣ 8♣ 10♣ J♦ K♥ |
3 to a Straight Flush: 67T | 2 to a Straight: QK | 6♣ 7♣ 10♣ Q♦ K♥ |
3 to a Straight Flush: 68T | 2 to a Straight: QK | 6♣ 8♣ 10♣ Q♦ K♥ |
Single Card: an Ace | 3 to a Straight Flush: 347 | 3♣ 4♣ 6♦ 7♣ A♥ |
Single Card: an Ace | 3 to a Straight Flush: 357 | 3♣ 5♣ 6♦ 7♣ A♥ |
Single Card: a Queen | 3 to a Straight Flush: 68T | 6♣ 7♦ 8♣ 10♣ Q♥ |
Single Card: a Queen | 3 to a Straight Flush: 69T | 6♣ 7♦ 9♣ 10♣ Q♥ |
3 to a Straight Flush: 78J | 2 to a Royal Flush: QK | 7♣ 8♣ J♣ Q♦ K♦ |
3 to a Straight Flush: 346 | 2 to a Royal Flush: JA | 3♣ 4♣ 6♣ J♦ A♦ |
3 to a Straight Flush: 356 | 2 to a Royal Flush: JA | 3♣ 5♣ 6♣ J♦ A♦ |
3 to a Straight Flush: 457 | 2 to a Royal Flush: JA | 4♣ 5♣ 7♣ J♦ A♦ |
3 to a Straight Flush: 467 | 2 to a Royal Flush: JA | 4♣ 6♣ 7♣ J♦ A♦ |
3 to a Straight Flush: 568 | 2 to a Royal Flush: JA | 5♣ 6♣ 8♣ J♦ A♦ |
3 to a Straight Flush: 578 | 2 to a Royal Flush: JA | 5♣ 7♣ 8♣ J♦ A♦ |
3 to a Straight Flush: 679 | 2 to a Royal Flush: JA | 6♣ 7♣ 9♣ J♦ A♦ |
3 to a Straight Flush: 689 | 2 to a Royal Flush: JA | 6♣ 8♣ 9♣ J♦ A♦ |