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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 | 800 | 496,273,380 | 0.000025 | 40,165.83 | 15.89 | 0.019917 |
Straight Flush | 40 | 1,954,981,092 | 0.000098 | 10,196.12 | 0.15 | 0.003923 |
Four of a Kind | 20 | 47,141,621,712 | 0.002365 | 422.84 | 0.85 | 0.047300 |
Full House | 8 | 229,731,288,048 | 0.011525 | 86.77 | 0.56 | 0.092200 |
Flush | 5 | 212,427,942,768 | 0.010657 | 93.84 | 0.17 | 0.053285 |
Straight | 4 | 220,932,677,736 | 0.011084 | 90.22 | 0.10 | 0.044335 |
Three of a Kind | 4 | 1,486,421,134,560 | 0.074570 | 13.41 | 0.66 | 0.298280 |
Two Pair | 2 | 2,581,002,396,288 | 0.129482 | 7.72 | 0.12 | 0.258965 |
Jacks or Better | 1 | 4,314,330,360,000 | 0.216439 | 4.62 | 0.00 | 0.216439 |
Nothing | 0 | 10,838,791,841,616 | 0.543755 | 1.84 | 0.58 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.19 | 19.08 | 1.034644 |
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 | 493,993,176 | 0.000025 | 40,351.23 | 15.82 | 0.019826 |
Straight Flush | 40 | 1,964,510,580 | 0.000099 | 10,146.66 | 0.15 | 0.003942 |
Four of a Kind | 20 | 47,138,626,848 | 0.002365 | 422.86 | 0.85 | 0.047297 |
Full House | 8 | 229,711,950,432 | 0.011524 | 86.77 | 0.56 | 0.092193 |
Flush | 5 | 212,670,633,564 | 0.010669 | 93.73 | 0.17 | 0.053346 |
Straight | 4 | 220,577,147,028 | 0.011066 | 90.37 | 0.10 | 0.044263 |
Three of a Kind | 4 | 1,486,268,486,796 | 0.074562 | 13.41 | 0.66 | 0.298249 |
Two Pair | 2 | 2,580,742,114,020 | 0.129469 | 7.72 | 0.12 | 0.258939 |
Jacks or Better | 1 | 4,317,066,742,572 | 0.216576 | 4.62 | 0.00 | 0.216576 |
Nothing | 0 | 10,836,596,312,184 | 0.543645 | 1.84 | 0.58 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.19 | 19.00 | 1.034631 |
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... |
1 Pair | JJ; QQ; KK; AA |
3 to a Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK |
3 to a Straight Flush | 9TJ; 9JQ |
2 to a Royal Flush | JQ |
4 to a Straight | JQKA |
3 to a Straight Flush | 8JQ; 9JK; 9QK |
2 to a Royal Flush | JA; JK; QA; QK; KA |
3 to a Straight Flush | 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 9TQ |
4 to a Straight | 9JQK; TJQA; TJKA; TQKA |
3 to a Straight | JQK |
2 to a Straight | JQ; JK; QK |
3 to a Straight Flush | 78J; 79J; 7TJ; 89Q; 8TQ; 9TK |
2 to a Royal Flush | TJ |
3 to a Straight Flush | A23; A24; A25; A34; A35; A45 |
2 to a Straight | JA; QA; KA |
2 to a Royal Flush | TQ |
Single Card | a Jack; a Queen; a King; an Ace |
3 to a Straight Flush | (more)234; 235; 245; 346; 356; 457; 467; 568; 569; 578; 579; 589; 679; 67T... |
3 to a Straight Flush | 236; 246; 256; 347; 357; 367; 458; 468; 478 |
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: TK | Single Card: a King | |
2 to a Royal Flush: TQ | 2 to a Straight: QA | |
Single Card: a Queen | 2 to a Royal Flush: TQ | |
2 to a Royal Flush: TJ | 2 to a Straight: JK | |
2 to a Straight: JA | 2 to a Royal Flush: TJ | |
2 to a Royal Flush: TJ | 3 to a Straight Flush: 7TJ | |
Single Card: a Jack | 3 to a Straight Flush: 78J | |
Single Card: a Jack | 3 to a Straight Flush: 79J | |
4 to a Straight: JQKA | 2 to a Royal Flush: JQ | |
3 to a Straight Flush: 8JQ | 2 to a Royal Flush: JQ | |
2 to a Straight: QA | 3 to a Straight Flush: A23 | |
2 to a Straight: KA | 3 to a Straight Flush: A23 | |
2 to a Straight: QA | 3 to a Straight Flush: A24 | |
2 to a Straight: KA | 3 to a Straight Flush: A24 | |
2 to a Straight: QA | 3 to a Straight Flush: A34 | |
2 to a Straight: KA | 3 to a Straight Flush: A34 | |
2 to a Straight: QA | 3 to a Straight Flush: A25 | |
2 to a Straight: KA | 3 to a Straight Flush: A25 | |
2 to a Straight: QA | 3 to a Straight Flush: A35 | |
2 to a Straight: KA | 3 to a Straight Flush: A35 | |
2 to a Straight: QA | 3 to a Straight Flush: A45 | |
2 to a Straight: KA | 3 to a Straight Flush: A45 | |
2 to a Straight: JA | 3 to a Straight Flush: 78J | |
2 to a Straight: JA | 3 to a Straight Flush: 79J | |
2 to a Straight: JA | 3 to a Straight Flush: 7TJ | |
3 to a Straight Flush: 79T | Single Card: a King | |
Single Card: a Jack | 3 to a Straight Flush: A23 | |
Single Card: a Jack | 3 to a Straight Flush: A24 | |
Single Card: a Jack | 3 to a Straight Flush: A34 | |
Single Card: a Jack | 3 to a Straight Flush: A25 | |
Single Card: a Jack | 3 to a Straight Flush: A35 | |
Single Card: a Jack | 3 to a Straight Flush: A45 | |
2 to a Straight: QA | 3 to a Straight Flush: 89Q | |
2 to a Straight: QA | 3 to a Straight Flush: 8TQ | |
3 to a Straight Flush: 79J | 2 to a Straight: JK | 7♣ 9♣ J♣ K♦ A♥ |
3 to a Straight Flush: 89Q | 2 to a Straight: QK | 8♣ 9♣ Q♣ K♦ A♥ |
2 to a Straight: JA | 3 to a Straight Flush: A23 | |
2 to a Straight: JA | 3 to a Straight Flush: A24 | |
2 to a Straight: JA | 3 to a Straight Flush: A34 | |
2 to a Straight: JA | 3 to a Straight Flush: A25 | |
2 to a Straight: JA | 3 to a Straight Flush: A35 | |
2 to a Straight: JA | 3 to a Straight Flush: A45 | |
3 to a Straight Flush: 234 | Single Card: a King | 2♣ 3♣ 4♣ 10♦ K♦ |
3 to a Straight Flush: 235 | Single Card: a King | 2♣ 3♣ 5♣ 10♦ K♦ |
3 to a Straight Flush: 245 | Single Card: a King | 2♣ 4♣ 5♣ 10♦ K♦ |
3 to a Straight Flush: 346 | Single Card: a King | 3♣ 4♣ 6♣ 10♦ K♦ |
3 to a Straight Flush: 356 | Single Card: a King | 3♣ 5♣ 6♣ 10♦ K♦ |
3 to a Straight Flush: 457 | Single Card: a King | 4♣ 5♣ 7♣ 10♦ K♦ |
3 to a Straight Flush: 467 | Single Card: a King | 4♣ 6♣ 7♣ 10♦ K♦ |
3 to a Straight Flush: 568 | Single Card: a King | 5♣ 6♣ 8♣ 10♦ K♦ |
3 to a Straight Flush: 578 | Single Card: a King | 5♣ 7♣ 8♣ 10♦ K♦ |
3 to a Straight Flush: 346 | Single Card: an Ace | 3♣ 4♣ 6♣ 10♦ A♦ |
3 to a Straight Flush: 356 | Single Card: an Ace | 3♣ 5♣ 6♣ 10♦ A♦ |
3 to a Straight Flush: 457 | Single Card: an Ace | 4♣ 5♣ 7♣ 10♦ A♦ |
3 to a Straight Flush: 467 | Single Card: an Ace | 4♣ 6♣ 7♣ 10♦ A♦ |
3 to a Straight Flush: 568 | Single Card: an Ace | 5♣ 6♣ 8♣ 10♦ A♦ |
3 to a Straight Flush: 578 | Single Card: an Ace | 5♣ 7♣ 8♣ 10♦ A♦ |
3 to a Straight Flush: 89J | 2 to a Royal Flush: KA | 8♣ 9♣ J♣ K♦ A♦ |
3 to a Straight Flush: 8TJ | 2 to a Royal Flush: KA | 8♣ 10♣ J♣ K♦ A♦ |