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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 | 1,601 | 388,927,344 | 0.000020 | 51,251.81 | 49.83 | 0.031238 |
| Straight Flush | 101 | 2,128,388,712 | 0.000107 | 9,365.41 | 1.03 | 0.010784 |
| Four of a Kind | 51 | 46,641,186,336 | 0.002340 | 427.37 | 5.40 | 0.119333 |
| Full House | 27 | 226,482,933,744 | 0.011362 | 88.01 | 6.56 | 0.306776 |
| Flush | 21 | 292,239,433,044 | 0.014661 | 68.21 | 4.77 | 0.307879 |
| Straight | 14 | 258,568,507,032 | 0.012972 | 77.09 | 1.58 | 0.181604 |
| Three of a Kind | 9 | 1,453,530,814,824 | 0.072920 | 13.71 | 2.65 | 0.656280 |
| Two Pair | 6 | 2,515,360,171,896 | 0.126189 | 7.92 | 1.16 | 0.757136 |
| Jacks or Better | 3 | 3,980,427,958,620 | 0.199688 | 5.01 | 0.00 | 0.599064 |
| Nothing | 0 | 11,157,462,195,648 | 0.559742 | 1.79 | 4.94 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.27 | 77.90 | 2.970095 | |
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 | 1,601 | 387,885,540 | 0.000019 | 51,389.47 | 49.69 | 0.031154 |
| Straight Flush | 101 | 2,109,851,412 | 0.000106 | 9,447.69 | 1.02 | 0.010690 |
| Four of a Kind | 51 | 46,645,218,360 | 0.002340 | 427.34 | 5.40 | 0.119344 |
| Full House | 27 | 226,504,361,160 | 0.011363 | 88.00 | 6.56 | 0.306805 |
| Flush | 21 | 291,733,017,228 | 0.014636 | 68.33 | 4.76 | 0.307346 |
| Straight | 14 | 257,885,665,656 | 0.012937 | 77.29 | 1.57 | 0.181125 |
| Three of a Kind | 9 | 1,453,755,399,696 | 0.072931 | 13.71 | 2.65 | 0.656381 |
| Two Pair | 6 | 2,515,767,812,928 | 0.126210 | 7.92 | 1.16 | 0.757258 |
| Jacks or Better | 3 | 3,986,268,336,612 | 0.199981 | 5.00 | 0.00 | 0.599943 |
| Nothing | 0 | 11,152,172,968,608 | 0.559476 | 1.79 | 4.94 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.27 | 77.75 | 2.970047 | |
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... |
| 1 Pair | JJ; QQ; KK; AA |
| 4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
| 3 to a Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
| 4 to a Straight | 89TJ; 9TJQ; TJQK |
| 1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
| 3 to a Straight Flush | 8TJ; 8JQ; 9TJ; 9JQ; 9JK; 9QK |
| 4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; TJKA; JQKA |
| 3 to a Straight Flush | 345; 456; 567; 678; 789; 89T; 89J; 9TQ |
| 2 to a Royal Flush | JQ |
| 4 to a Straight | 9JQK; TJQA; TQKA |
| 3 to a Flush | (more)2TA; 2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3TA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA... |
| 2 to a Royal Flush | JA; 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 |
| 2 to a Straight | JQ |
| 3 to a Flush | 29A; 39A; 49A; 59A; 69A; 79A; 89A |
| 2 to a Straight | JK; QK |
| 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; TQ |
| 3 to a Flush | (more)23K; 24K; 25K; 26K; 27K; 28K; 34K; 35K; 36K; 37K; 38K; 45K; 46K; 47K... |
| 2 to a Straight | JA; QA; KA |
| 2 to a Royal Flush | TK |
| 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 |
| 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 Royal Flush: TJ | 2 to a Straight: JK | |
| 2 to a Straight: QA | 2 to a Royal Flush: TQ | |
| 2 to a Royal Flush: TJ | 3 to a Flush: 2TJ | |
| 2 to a Royal Flush: TJ | 3 to a Flush: 3TJ | |
| 2 to a Royal Flush: TJ | 3 to a Flush: 4TJ | |
| 2 to a Royal Flush: TJ | 3 to a Flush: 5TJ | |
| 2 to a Royal Flush: TJ | 3 to a Flush: 6TJ | |
| 4 to a Straight: 9JQK | 2 to a Royal Flush: JQ | |
| 4 to a Straight: TJQA | 2 to a Royal Flush: JQ | |
| 3 to a Straight Flush: 69T | Single Card: a King | |
| 3 to a Straight Flush: 458 | Single Card: an Ace | |
| 3 to a Flush: 2JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 3JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 4JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 5JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 6JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 7JQ | 2 to a Royal Flush: JQ | |
| 3 to a Straight Flush: 347 | Single Card: an Ace | |
| 3 to a Straight Flush: 357 | Single Card: an Ace | |
| 3 to a Straight Flush: 236 | Single Card: an Ace | |
| 3 to a Straight Flush: 246 | Single Card: an Ace | |
| 3 to a Straight Flush: 256 | Single Card: an Ace | |
| 3 to a Straight Flush: 569 | Single Card: a King | |
| 3 to a Straight Flush: 579 | Single Card: a King | |
| 3 to a Straight Flush: 589 | Single Card: a King | |
| 3 to a Straight Flush: 67T | Single Card: a Queen | |
| 3 to a Straight Flush: 68T | Single Card: a Queen | |
| 3 to a Straight Flush: 69T | Single Card: a Queen | |
| 3 to a Straight Flush: 67T | Single Card: a King | |
| 3 to a Straight Flush: 68T | Single Card: a King | |
| 3 to a Straight Flush: 367 | Single Card: an Ace | |
| 3 to a Straight Flush: 468 | Single Card: an Ace | |
| 3 to a Straight Flush: 478 | 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: 589 | Single Card: a Queen | |
| 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: a King | |
| 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 King | |
| 3 to a Flush: 29J | 2 to a Straight: JK | 2♣ 9♣ J♣ K♦ A♥ |
| 3 to a Flush: 39J | 2 to a Straight: JK | 3♣ 9♣ J♣ K♦ A♥ |
| 3 to a Flush: 49J | 2 to a Straight: JK | 4♣ 9♣ J♣ K♦ A♥ |
| 3 to a Flush: 59J | 2 to a Straight: JK | 5♣ 9♣ J♣ K♦ A♥ |
| 3 to a Flush: 69J | 2 to a Straight: JK | 6♣ 9♣ J♣ K♦ A♥ |
| 3 to a Flush: 29K | 2 to a Straight: JK | 2♣ 9♣ J♦ K♣ A♥ |
| 3 to a Flush: 39K | 2 to a Straight: JK | 3♣ 9♣ J♦ K♣ A♥ |
| 3 to a Flush: 49K | 2 to a Straight: JK | 4♣ 9♣ J♦ K♣ A♥ |
| 3 to a Flush: 59K | 2 to a Straight: JK | 5♣ 9♣ J♦ K♣ A♥ |
| 3 to a Flush: 69K | 2 to a Straight: JK | 6♣ 9♣ J♦ K♣ A♥ |
| 3 to a Flush: 79K | 2 to a Straight: JK | 7♣ 9♣ J♦ K♣ A♥ |
| 3 to a Flush: 89K | 2 to a Straight: JK | 8♣ 9♣ J♦ K♣ A♥ |
| 3 to a Flush: 29Q | 2 to a Straight: QK | 2♣ 9♣ Q♣ K♦ A♥ |
| 3 to a Flush: 39Q | 2 to a Straight: QK | 3♣ 9♣ Q♣ K♦ A♥ |
| 3 to a Flush: 49Q | 2 to a Straight: QK | 4♣ 9♣ Q♣ K♦ A♥ |
| 3 to a Flush: 59Q | 2 to a Straight: QK | 5♣ 9♣ Q♣ K♦ A♥ |
| 3 to a Flush: 69Q | 2 to a Straight: QK | 6♣ 9♣ Q♣ K♦ A♥ |
| 3 to a Flush: 79Q | 2 to a Straight: QK | 7♣ 9♣ Q♣ K♦ A♥ |
| 3 to a Flush: 29K | 2 to a Straight: QK | 2♣ 9♣ Q♦ K♣ A♥ |
| 3 to a Flush: 39K | 2 to a Straight: QK | 3♣ 9♣ Q♦ K♣ A♥ |
| 3 to a Flush: 49K | 2 to a Straight: QK | 4♣ 9♣ Q♦ K♣ A♥ |
| 3 to a Flush: 59K | 2 to a Straight: QK | 5♣ 9♣ Q♦ K♣ A♥ |
| 3 to a Flush: 69K | 2 to a Straight: QK | 6♣ 9♣ Q♦ K♣ A♥ |
| 3 to a Flush: 79K | 2 to a Straight: QK | 7♣ 9♣ Q♦ K♣ A♥ |
| 3 to a Flush: 89K | 2 to a Straight: QK | 8♣ 9♣ Q♦ K♣ A♥ |
| 3 to a Straight Flush: 458 | Single Card: a Queen | 4♣ 5♣ 8♣ 9♦ Q♦ |
| 3 to a Straight Flush: 468 | Single Card: a Queen | 4♣ 6♣ 8♣ 9♦ Q♦ |
| 3 to a Straight Flush: 478 | Single Card: a Queen | 4♣ 7♣ 8♣ 9♦ Q♦ |
| 3 to a Straight Flush: 569 | 2 to a Royal Flush: TK | 5♣ 6♣ 9♣ 10♦ K♦ |
| 3 to a Straight Flush: 579 | 2 to a Royal Flush: TK | 5♣ 7♣ 9♣ 10♦ K♦ |
| 3 to a Straight Flush: 589 | 2 to a Royal Flush: TK | 5♣ 8♣ 9♣ 10♦ K♦ |
| 3 to a Straight Flush: 78J | 2 to a Royal Flush: QA | 7♣ 8♣ J♣ Q♦ A♦ |
| 3 to a Straight Flush: 79J | 2 to a Royal Flush: QA | 7♣ 9♣ J♣ Q♦ A♦ |
| 3 to a Straight Flush: 78J | 2 to a Royal Flush: KA | 7♣ 8♣ J♣ K♦ A♦ |
| 3 to a Straight Flush: 79J | 2 to a Royal Flush: KA | 7♣ 9♣ J♣ K♦ A♦ |
| 3 to a Straight Flush: 89Q | 2 to a Royal Flush: KA | 8♣ 9♣ Q♣ K♦ A♦ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 26A | 2♣ 6♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 36A | 3♣ 6♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 46A | 4♣ 6♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 56A | 5♣ 6♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 27A | 2♣ 7♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 37A | 3♣ 7♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 47A | 4♣ 7♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 57A | 5♣ 7♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 67A | 6♣ 7♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 28A | 2♣ 8♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 38A | 3♣ 8♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 48A | 4♣ 8♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 58A | 5♣ 8♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 68A | 6♣ 8♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 78A | 7♣ 8♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 29A | 2♣ 9♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 39A | 3♣ 9♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 49A | 4♣ 9♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 59A | 5♣ 9♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 69A | 6♣ 9♣ 10♦ J♦ A♣ |
| 2 to a Royal Flush: TJ | 3 to a Flush: 79A | 7♣ 9♣ 10♦ J♦ A♣ |