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Video Poker Strategy Calculator
Introduction
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 | 801 | 381,382,452 | 0.000019 | 52,265.73 | 12.21 | 0.015326 |
| Straight Flush | 51 | 2,171,533,596 | 0.000109 | 9,179.33 | 0.26 | 0.005556 |
| Four of a Kind | 26 | 46,195,330,860 | 0.002318 | 431.50 | 1.34 | 0.060255 |
| Full House | 19 | 224,432,644,860 | 0.011259 | 88.82 | 3.26 | 0.213925 |
| Flush | 15 | 316,866,124,992 | 0.015896 | 62.91 | 2.69 | 0.238446 |
| Straight | 10 | 289,952,700,816 | 0.014546 | 68.75 | 0.93 | 0.145462 |
| Three of a Kind | 6 | 1,430,608,202,172 | 0.071770 | 13.93 | 1.15 | 0.430620 |
| Two Pair | 4 | 2,476,018,795,356 | 0.124216 | 8.05 | 0.50 | 0.496863 |
| Jacks or Better | 2 | 3,827,479,048,236 | 0.192015 | 5.21 | 0.00 | 0.384030 |
| Nothing | 0 | 11,319,124,753,860 | 0.567852 | 1.76 | 2.25 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.31 | 24.60 | 1.990482 | |
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 | 801 | 381,995,916 | 0.000019 | 52,181.79 | 12.23 | 0.015350 |
| Straight Flush | 51 | 2,169,601,116 | 0.000109 | 9,187.51 | 0.26 | 0.005551 |
| Four of a Kind | 26 | 46,195,769,460 | 0.002318 | 431.49 | 1.34 | 0.060256 |
| Full House | 19 | 224,436,581,460 | 0.011259 | 88.81 | 3.26 | 0.213929 |
| Flush | 15 | 316,723,939,548 | 0.015889 | 62.94 | 2.69 | 0.238339 |
| Straight | 10 | 290,018,649,240 | 0.014550 | 68.73 | 0.93 | 0.145495 |
| Three of a Kind | 6 | 1,430,629,387,032 | 0.071771 | 13.93 | 1.15 | 0.430626 |
| Two Pair | 4 | 2,476,053,402,336 | 0.124217 | 8.05 | 0.50 | 0.496869 |
| Jacks or Better | 2 | 3,827,564,529,840 | 0.192019 | 5.21 | 0.00 | 0.384039 |
| Nothing | 0 | 11,319,056,661,252 | 0.567849 | 1.76 | 2.25 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.31 | 24.62 | 1.990454 | |
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 |
| 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 | JJ; QQ; KK; AA |
| 4 to a Flush | (more)234J; 234Q; 234K; 235J; 235Q; 235K; 236A; 236J; 236Q; 236K; 237A; 237J... |
| 3 to a Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
| 4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK |
| 1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
| 3 to a Straight Flush | 345; 456; 567; 678; 789; 78J; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ |
| 4 to a Straight | TJQA; JQKA |
| 3 to a Straight Flush | 9JK; 9QK |
| 4 to a Straight | 9JQK; TJKA; TQKA |
| 3 to a Flush | (more)2TA; 2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3TA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA... |
| 3 to a Straight Flush | 79J; 7TJ; 89Q; 8TQ; 9TK |
| 2 to a Royal Flush | JA; JQ; JK; QA; QK; KA |
| 3 to a Straight Flush | (more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568... |
| 4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK |
| 3 to a Straight | TJQ; JQK |
| 3 to a Flush | (more)23K; 24K; 25K; 26K; 27K; 28K; 29A; 29K; 2TJ; 2TQ; 2TK; 34K; 35K; 36K... |
| 2 to a Straight | JQ |
| 3 to a Flush | (more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26A; 26J; 26Q; 27A; 27J; 27Q; 28A; 28J... |
| 2 to a Royal Flush | TJ |
| 2 to a Straight | JK; QK |
| 4 to a Straight | A234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ |
| 2 to a Royal Flush | TQ |
| 2 to a Straight | JA |
| Single Card | a Jack |
| 3 to a Straight Flush | 236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T |
| 2 to a Straight | QA; KA |
| 2 to a Royal Flush | TK |
| Single Card | 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: JK | 2 to a Royal Flush: TJ | |
| 2 to a Straight: QA | 2 to a Royal Flush: TQ | |
| 2 to a Straight Flush: 9T | Garbage: Discard everything | |
| 3 to a Straight Flush: 67T | Single Card: a Jack | |
| 3 to a Straight Flush: 68T | Single Card: a Jack | |
| 3 to a Straight Flush: 69T | Single Card: a Jack | |
| 3 to a Straight Flush: 458 | Single Card: a Jack | |
| 3 to a Straight Flush: 468 | Single Card: a Jack | |
| 3 to a Straight Flush: 569 | Single Card: a Jack | |
| 3 to a Straight Flush: 236 | Single Card: a Jack | |
| 3 to a Straight Flush: 246 | Single Card: a Jack | |
| 3 to a Straight Flush: 256 | Single Card: a Jack | |
| 3 to a Straight Flush: 347 | Single Card: a Jack | |
| 3 to a Straight Flush: 357 | Single Card: a Jack | |
| 3 to a Straight Flush: 367 | Single Card: a Jack | |
| 3 to a Straight Flush: 579 | Single Card: a Jack | |
| 3 to a Straight Flush: 589 | Single Card: a Jack | |
| 2 to a Straight Flush: 89 | Garbage: Discard everything | |
| 4 to a Straight: 79TJ | 2 to a Royal Flush: TJ | |
| 3 to a Straight Flush: 478 | Single Card: a Jack | |
| Single Card: a Queen | 3 to a Straight Flush: 236 | |
| Single Card: a Queen | 3 to a Straight Flush: 246 | |
| Single Card: a Queen | 3 to a Straight Flush: 256 | |
| Single Card: a Queen | 3 to a Straight Flush: 347 | |
| Single Card: a Queen | 3 to a Straight Flush: 357 | |
| Single Card: a Queen | 3 to a Straight Flush: 367 | |
| Single Card: a Queen | 3 to a Straight Flush: 458 | |
| Single Card: a Queen | 3 to a Straight Flush: 468 | |
| Single Card: a Queen | 3 to a Straight Flush: 478 | |
| Single Card: a Queen | 3 to a Straight Flush: 569 | |
| Single Card: a Queen | 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: 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: an Ace | 3 to a Straight Flush: 468 | |
| Single Card: a King | 3 to a Straight Flush: 478 | |
| Single Card: an Ace | 3 to a Straight Flush: 478 | |
| Single Card: a King | 3 to a Straight Flush: 569 | |
| Single Card: an Ace | 3 to a Straight Flush: 569 | |
| Single Card: a King | 3 to a Straight Flush: 579 | |
| Single Card: an Ace | 3 to a Straight Flush: 579 | |
| Single Card: a King | 3 to a Straight Flush: 589 | |
| Single Card: an Ace | 3 to a Straight Flush: 589 | |
| Single Card: a Queen | 3 to a Straight Flush: 67T | |
| Single Card: a King | 3 to a Straight Flush: 67T | |
| Single Card: an Ace | 3 to a Straight Flush: 67T | |
| Single Card: a King | 3 to a Straight Flush: 68T | |
| Single Card: an Ace | 3 to a Straight Flush: 68T | |
| Single Card: a King | 3 to a Straight Flush: 69T | |
| Single Card: an Ace | 3 to a Straight Flush: 69T | |
| 3 to a Straight Flush: 347 | 4 to a Straight: A234 | |
| 3 to a Straight Flush: 357 | 4 to a Straight: A235 | |
| 3 to a Straight Flush: 458 | 4 to a Straight: A245 | |
| 3 to a Straight Flush: 458 | 4 to a Straight: A345 | |
| 3 to a Straight Flush: 478 | 4 to a Straight: 789J | |
| 3 to a Straight Flush: 589 | 4 to a Straight: 89TQ | |
| 3 to a Flush: 29J | 2 to a Straight: JQ | 2♣ 9♣ J♣ Q♦ A♥ |
| 3 to a Flush: 39J | 2 to a Straight: JQ | 3♣ 9♣ J♣ Q♦ A♥ |
| 3 to a Flush: 49J | 2 to a Straight: JQ | 4♣ 9♣ J♣ Q♦ A♥ |
| 3 to a Flush: 59J | 2 to a Straight: JQ | 5♣ 9♣ J♣ Q♦ A♥ |
| 3 to a Flush: 69J | 2 to a Straight: JQ | 6♣ 9♣ J♣ Q♦ A♥ |
| 3 to a Flush: 29Q | 2 to a Straight: JQ | 2♣ 9♣ J♦ Q♣ A♥ |
| 3 to a Flush: 39Q | 2 to a Straight: JQ | 3♣ 9♣ J♦ Q♣ A♥ |
| 3 to a Flush: 49Q | 2 to a Straight: JQ | 4♣ 9♣ J♦ Q♣ A♥ |
| 3 to a Flush: 59Q | 2 to a Straight: JQ | 5♣ 9♣ J♦ Q♣ A♥ |
| 3 to a Flush: 69Q | 2 to a Straight: JQ | 6♣ 9♣ J♦ Q♣ A♥ |
| 3 to a Flush: 79Q | 2 to a Straight: JQ | 7♣ 9♣ J♦ Q♣ A♥ |
| 3 to a Straight Flush: 236 | 2 to a Straight: JA | 2♣ 3♣ 6♣ J♦ A♥ |
| 3 to a Straight Flush: 246 | 2 to a Straight: JA | 2♣ 4♣ 6♣ J♦ A♥ |
| 3 to a Straight Flush: 256 | 2 to a Straight: JA | 2♣ 5♣ 6♣ J♦ A♥ |
| 3 to a Straight Flush: 347 | 2 to a Straight: JA | 3♣ 4♣ 7♣ J♦ A♥ |
| 3 to a Straight Flush: 357 | 2 to a Straight: JA | 3♣ 5♣ 7♣ J♦ A♥ |
| 3 to a Straight Flush: 367 | 2 to a Straight: JA | 3♣ 6♣ 7♣ J♦ A♥ |
| 3 to a Straight Flush: 458 | 2 to a Straight: JA | 4♣ 5♣ 8♣ J♦ A♥ |
| 3 to a Straight Flush: 468 | 2 to a Straight: JA | 4♣ 6♣ 8♣ J♦ A♥ |
| 3 to a Straight Flush: 478 | 2 to a Straight: JA | 4♣ 7♣ 8♣ J♦ A♥ |
| 3 to a Straight Flush: 569 | 2 to a Straight: JA | 5♣ 6♣ 9♣ J♦ A♥ |
| 3 to a Straight Flush: 579 | 2 to a Straight: JA | 5♣ 7♣ 9♣ J♦ A♥ |
| 3 to a Straight Flush: 589 | 2 to a Straight: JA | 5♣ 8♣ 9♣ J♦ A♥ |
| 3 to a Straight Flush: 67T | 2 to a Straight: JA | 6♣ 7♣ 10♣ J♦ A♥ |
| 3 to a Straight Flush: 68T | 2 to a Straight: JA | 6♣ 8♣ 10♣ J♦ A♥ |
| 3 to a Straight Flush: 69T | 2 to a Straight: JA | 6♣ 9♣ 10♣ J♦ A♥ |
| 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: 478 | 4 to a Straight: 78TJ | 4♣ 7♣ 8♣ 10♦ J♥ |
| 3 to a Straight Flush: 579 | 4 to a Straight: 79TJ | 5♣ 7♣ 9♣ 10♦ J♥ |
| 3 to a Straight Flush: 458 | 2 to a Royal Flush: TQ | 4♣ 5♣ 8♣ 10♦ Q♦ |
| 3 to a Straight Flush: 468 | 2 to a Royal Flush: TQ | 4♣ 6♣ 8♣ 10♦ Q♦ |
| 3 to a Straight Flush: 478 | 2 to a Royal Flush: TQ | 4♣ 7♣ 8♣ 10♦ Q♦ |
| 3 to a Straight Flush: 569 | 2 to a Royal Flush: TQ | 5♣ 6♣ 9♣ 10♦ Q♦ |
| 3 to a Straight Flush: 579 | 2 to a Royal Flush: TQ | 5♣ 7♣ 9♣ 10♦ Q♦ |