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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 | 496,558,728 | 0.000025 | 40,142.75 | 15.90 | 0.019929 |
Straight Flush | 40 | 2,039,456,484 | 0.000102 | 9,773.80 | 0.16 | 0.004093 |
Four of a Kind | 25 | 47,113,810,860 | 0.002364 | 423.09 | 1.36 | 0.059090 |
Full House | 8 | 229,596,533,100 | 0.011518 | 86.82 | 0.57 | 0.092146 |
Flush | 5 | 214,664,152,608 | 0.010769 | 92.86 | 0.17 | 0.053846 |
Straight | 4 | 222,835,350,852 | 0.011179 | 89.45 | 0.10 | 0.044716 |
Three of a Kind | 3 | 1,485,075,769,824 | 0.074503 | 13.42 | 0.31 | 0.223508 |
Two Pair | 2 | 2,578,801,818,312 | 0.129372 | 7.73 | 0.14 | 0.258744 |
Jacks or Better | 1 | 4,302,806,419,512 | 0.215861 | 4.63 | 0.00 | 0.215861 |
Nothing | 0 | 10,849,800,646,920 | 0.544307 | 1.84 | 0.51 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.19 | 19.23 | 0.971932 |
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 | 492,590,172 | 0.000025 | 40,466.16 | 15.78 | 0.019770 |
Straight Flush | 40 | 2,026,121,496 | 0.000102 | 9,838.12 | 0.15 | 0.004066 |
Four of a Kind | 25 | 47,122,765,524 | 0.002364 | 423.01 | 1.36 | 0.059101 |
Full House | 8 | 229,621,489,956 | 0.011520 | 86.81 | 0.57 | 0.092156 |
Flush | 5 | 214,233,704,892 | 0.010748 | 93.04 | 0.17 | 0.053738 |
Straight | 4 | 222,239,312,028 | 0.011149 | 89.69 | 0.10 | 0.044597 |
Three of a Kind | 3 | 1,485,365,050,260 | 0.074517 | 13.42 | 0.31 | 0.223551 |
Two Pair | 2 | 2,579,078,651,796 | 0.129386 | 7.73 | 0.14 | 0.258772 |
Jacks or Better | 1 | 4,308,762,239,604 | 0.216160 | 4.63 | 0.00 | 0.216160 |
Nothing | 0 | 10,844,288,591,472 | 0.544031 | 1.84 | 0.51 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.19 | 19.10 | 0.971910 |
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... |
4 to a Straight | TJQK |
1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ |
3 to a Straight Flush | 9TJ; 9JQ |
4 to a Straight | JQKA |
3 to a Straight Flush | 8JQ; 9JK; 9QK |
2 to a Royal Flush | JA; JQ; 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 |
3 to a Straight Flush | A23; A24; A25; A34; A35; A45; 7TJ; 89Q; 8TQ |
2 to a Straight | JK; QK |
2 to a Royal Flush | TJ |
3 to a Straight Flush | 78J; 79J; 9TK |
2 to a Straight | JA |
Single Card | a Jack |
3 to a Straight Flush | 78T; 79T |
2 to a Straight | QA; KA |
2 to a Royal Flush | TQ |
Single Card | a Queen; an Ace |
3 to a Straight Flush | 234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689 |
Single Card | 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 |
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 | |
2 to a Royal Flush: TJ | 2 to a Straight: JK | |
2 to a Royal Flush: JQ | 3 to a Straight Flush: 8JQ | |
2 to a Straight: JA | 2 to a Royal Flush: TJ | |
3 to a Straight Flush: 79J | 2 to a Straight: JK | |
3 to a Straight Flush: 679 | Single Card: an Ace | |
3 to a Straight Flush: 689 | Single Card: an Ace | |
3 to a Straight Flush: 234 | Single Card: a Queen | |
3 to a Straight Flush: 235 | Single Card: a Queen | |
3 to a Straight Flush: 245 | Single Card: a Queen | |
3 to a Straight Flush: 679 | Single Card: a Queen | |
3 to a Straight Flush: 689 | Single Card: a Queen | |
3 to a Straight Flush: 346 | Single Card: an Ace | |
3 to a Straight Flush: 356 | Single Card: an Ace | |
3 to a Straight Flush: 457 | Single Card: an Ace | |
3 to a Straight Flush: 467 | Single Card: an Ace | |
3 to a Straight Flush: 568 | Single Card: an Ace | |
3 to a Straight Flush: 578 | Single Card: an Ace | |
3 to a Straight Flush: 346 | Single Card: a Queen | |
3 to a Straight Flush: 356 | Single Card: a Queen | |
3 to a Straight Flush: 568 | Single Card: a Queen | |
3 to a Straight Flush: 578 | Single Card: a Queen | |
3 to a Straight Flush: 457 | Single Card: a Queen | |
3 to a Straight Flush: 467 | Single Card: a Queen | |
2 to a Straight: JA | 3 to a Straight Flush: A23 | |
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: JA | 3 to a Straight Flush: A24 | |
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: JA | 3 to a Straight Flush: A34 | |
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: JA | 3 to a Straight Flush: A25 | |
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: JA | 3 to a Straight Flush: A35 | |
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: JA | 3 to a Straight Flush: A45 | |
2 to a Straight: QA | 3 to a Straight Flush: A45 | |
2 to a Straight: KA | 3 to a Straight Flush: A45 | |
Single Card: a King | 3 to a Straight Flush: 346 | |
Single Card: a King | 3 to a Straight Flush: 356 | |
Single Card: a King | 3 to a Straight Flush: 457 | |
Single Card: a King | 3 to a Straight Flush: 467 | |
Single Card: a King | 3 to a Straight Flush: 568 | |
Single Card: a King | 3 to a Straight Flush: 578 | |
2 to a Straight: JK | 3 to a Straight Flush: 7TJ | |
Single Card: a King | 3 to a Straight Flush: 679 | |
Single Card: a King | 3 to a Straight Flush: 689 | |
3 to a Straight Flush: 568 | Single Card: a Jack | |
3 to a Straight Flush: 578 | Single Card: a Jack | |
3 to a Straight Flush: 679 | Single Card: a Jack | |
3 to a Straight Flush: 689 | Single Card: a Jack | |
Single Card: a King | 3 to a Straight Flush: 234 | |
Single Card: a King | 3 to a Straight Flush: 235 | |
Single Card: a King | 3 to a Straight Flush: 245 | |
Single Card: a Queen | 3 to a Straight Flush: 78T | |
Single Card: a King | 3 to a Straight Flush: 78T | |
Single Card: an Ace | 3 to a Straight Flush: 78T | |
Single Card: a Queen | 3 to a Straight Flush: 79T | |
Single Card: a King | 3 to a Straight Flush: 79T | |
Single Card: an Ace | 3 to a Straight Flush: 79T | |
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: QK | 3 to a Straight Flush: 89Q | |
2 to a Straight: QK | 3 to a Straight Flush: 8TQ | |
3 to a Straight Flush: 234 | Single Card: a Jack | |
3 to a Straight Flush: 235 | Single Card: a Jack | |
3 to a Straight Flush: 245 | Single Card: a Jack | |
3 to a Straight Flush: 346 | Single Card: a Jack | |
3 to a Straight Flush: 356 | Single Card: a Jack | |
3 to a Straight Flush: 78J | 2 to a Straight: JK | 7♣ 8♣ J♣ K♦ A♥ |
3 to a Straight Flush: 457 | Single Card: a Jack | 4♣ 5♣ 7♣ 9♦ J♦ |
3 to a Straight Flush: 467 | Single Card: a Jack | 4♣ 6♣ 7♣ 9♦ J♦ |
3 to a Straight Flush: 234 | Single Card: an Ace | 2♣ 3♣ 4♣ 10♦ A♦ |
3 to a Straight Flush: 235 | Single Card: an Ace | 2♣ 3♣ 5♣ 10♦ A♦ |
3 to a Straight Flush: 245 | Single Card: an Ace | 2♣ 4♣ 5♣ 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♦ |
2 to a Royal Flush: TJ | 3 to a Straight Flush: A23 | 2♣ 3♣ 10♦ J♦ A♣ |
2 to a Royal Flush: TJ | 3 to a Straight Flush: A24 | 2♣ 4♣ 10♦ J♦ A♣ |
2 to a Royal Flush: TJ | 3 to a Straight Flush: A34 | 3♣ 4♣ 10♦ J♦ A♣ |
2 to a Royal Flush: TJ | 3 to a Straight Flush: A25 | 2♣ 5♣ 10♦ J♦ A♣ |
2 to a Royal Flush: TJ | 3 to a Straight Flush: A35 | 3♣ 5♣ 10♦ J♦ A♣ |
2 to a Royal Flush: TJ | 3 to a Straight Flush: A45 | 4♣ 5♣ 10♦ J♦ A♣ |