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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 | 490,654,920 | 0.000025 | 40,625.76 | 15.72 | 0.019692 |
Straight Flush | 40 | 2,044,739,772 | 0.000103 | 9,748.54 | 0.16 | 0.004103 |
Four of a Kind | 20 | 46,699,552,128 | 0.002343 | 426.84 | 0.85 | 0.046856 |
Full House | 8 | 227,524,666,752 | 0.011414 | 87.61 | 0.56 | 0.091315 |
Flush | 5 | 211,800,947,568 | 0.010626 | 94.11 | 0.17 | 0.053128 |
Straight | 5 | 310,735,741,692 | 0.015589 | 64.15 | 0.25 | 0.077944 |
Three of a Kind | 3 | 1,457,765,555,916 | 0.073132 | 13.67 | 0.30 | 0.219397 |
Two Pair | 2 | 2,524,212,252,900 | 0.126633 | 7.90 | 0.13 | 0.253267 |
Jacks or Better | 1 | 4,140,570,954,996 | 0.207722 | 4.81 | 0.00 | 0.207722 |
Nothing | 0 | 11,011,385,450,556 | 0.552413 | 1.81 | 0.52 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.23 | 18.67 | 0.973424 |
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 | 490,503,732 | 0.000025 | 40,638.29 | 15.71 | 0.019686 |
Straight Flush | 40 | 2,030,118,912 | 0.000102 | 9,818.75 | 0.16 | 0.004074 |
Four of a Kind | 20 | 46,697,098,032 | 0.002343 | 426.86 | 0.85 | 0.046854 |
Full House | 8 | 227,515,397,328 | 0.011414 | 87.61 | 0.56 | 0.091311 |
Flush | 5 | 211,380,081,456 | 0.010604 | 94.30 | 0.17 | 0.053022 |
Straight | 5 | 311,433,821,580 | 0.015624 | 64.00 | 0.25 | 0.078119 |
Three of a Kind | 3 | 1,457,579,942,460 | 0.073123 | 13.68 | 0.30 | 0.219369 |
Two Pair | 2 | 2,523,817,382,868 | 0.126614 | 7.90 | 0.13 | 0.253227 |
Jacks or Better | 1 | 4,140,906,922,080 | 0.207739 | 4.81 | 0.00 | 0.207739 |
Nothing | 0 | 11,011,379,248,752 | 0.552413 | 1.81 | 0.52 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.23 | 18.66 | 0.973401 |
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 |
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 | 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 | 9TJ; 9JQ |
4 to a Straight | 9JQK; TJQA; TJKA; TQKA; JQKA |
3 to a Straight Flush | 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK |
2 to a Royal Flush | JQ; JK; QK |
3 to a Straight Flush | 345; 456; 567; 678; 789; 89T |
2 to a Royal Flush | JA; QA; KA |
4 to a Straight | A234; A235; A245; A345; 79TJ; 89JQ; 8TJQ; 9TJK; 9TQK |
3 to a Straight | TJQ; JQK |
2 to a Straight | JQ |
3 to a Straight Flush | A23; A24; A25; A34; A35; A45; 79T; 9TK |
2 to a Straight | JK; QK |
4 to a Straight | 789J; 78TJ; 89TQ |
3 to a Straight Flush | 578; 689; 78T; 78J; 79J; 7TJ; 89Q; 8TQ |
2 to a Royal Flush | TJ |
3 to a Straight Flush | 234; 235; 245; 346; 356; 457; 467; 568; 679 |
2 to a Royal Flush | TQ |
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 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: TJ | 2 to a Straight: JK | |
2 to a Straight: QA | 2 to a Royal Flush: TQ | |
Single Card: a King | 2 to a Royal Flush: TK | |
2 to a Royal Flush: TJ | 4 to a Straight: 78TJ | |
2 to a Royal Flush: TJ | 4 to a Straight: 79TJ | |
2 to a Royal Flush: JQ | 3 to a Straight Flush: 8JQ | |
3 to a Straight Flush: 89Q | 2 to a Straight: QK | |
3 to a Straight Flush: 8TQ | 2 to a Straight: QK | |
3 to a Straight Flush: 78J | 2 to a Straight: JK | |
3 to a Straight Flush: 79J | 2 to a Straight: JK | |
3 to a Straight Flush: 7TJ | 2 to a Straight: JK | |
Single Card: a Jack | 3 to a Straight Flush: 346 | |
Single Card: a Jack | 3 to a Straight Flush: 356 | |
3 to a Straight Flush: 457 | 4 to a Straight: A245 | |
3 to a Straight Flush: 578 | 4 to a Straight: 78TJ | |
3 to a Straight Flush: 79J | 2 to a Straight: JQ | 7♣ 9♣ J♣ Q♦ A♥ |
3 to a Straight Flush: 234 | 2 to a Straight: JK | 2♣ 3♣ 4♣ J♦ K♥ |
3 to a Straight Flush: 235 | 2 to a Straight: JK | 2♣ 3♣ 5♣ J♦ K♥ |
3 to a Straight Flush: 245 | 2 to a Straight: JK | 2♣ 4♣ 5♣ J♦ K♥ |
3 to a Straight Flush: 346 | 2 to a Straight: JK | 3♣ 4♣ 6♣ J♦ K♥ |
3 to a Straight Flush: 356 | 2 to a Straight: JK | 3♣ 5♣ 6♣ J♦ K♥ |
3 to a Straight Flush: 457 | 2 to a Straight: JK | 4♣ 5♣ 7♣ J♦ K♥ |
3 to a Straight Flush: 467 | 2 to a Straight: JK | 4♣ 6♣ 7♣ J♦ K♥ |
3 to a Straight Flush: 568 | 2 to a Straight: JK | 5♣ 6♣ 8♣ J♦ K♥ |
3 to a Straight Flush: 578 | 2 to a Straight: JK | 5♣ 7♣ 8♣ J♦ K♥ |
3 to a Straight Flush: 679 | 2 to a Straight: JK | 6♣ 7♣ 9♣ J♦ K♥ |
3 to a Straight Flush: 689 | 2 to a Straight: JK | 6♣ 8♣ 9♣ J♦ K♥ |
3 to a Straight Flush: 234 | 2 to a Straight: QK | 2♣ 3♣ 4♣ Q♦ K♥ |
3 to a Straight Flush: 235 | 2 to a Straight: QK | 2♣ 3♣ 5♣ Q♦ K♥ |
3 to a Straight Flush: 245 | 2 to a Straight: QK | 2♣ 4♣ 5♣ Q♦ K♥ |
3 to a Straight Flush: 346 | 2 to a Straight: QK | 3♣ 4♣ 6♣ Q♦ K♥ |
3 to a Straight Flush: 356 | 2 to a Straight: QK | 3♣ 5♣ 6♣ Q♦ K♥ |
3 to a Straight Flush: 457 | 2 to a Straight: QK | 4♣ 5♣ 7♣ Q♦ K♥ |
3 to a Straight Flush: 467 | 2 to a Straight: QK | 4♣ 6♣ 7♣ Q♦ K♥ |
3 to a Straight Flush: 568 | 2 to a Straight: QK | 5♣ 6♣ 8♣ Q♦ K♥ |
3 to a Straight Flush: 578 | 2 to a Straight: QK | 5♣ 7♣ 8♣ Q♦ K♥ |
3 to a Straight Flush: 679 | 2 to a Straight: QK | 6♣ 7♣ 9♣ Q♦ K♥ |
3 to a Straight Flush: 689 | 2 to a Straight: QK | 6♣ 8♣ 9♣ Q♦ K♥ |
3 to a Straight Flush: 78T | 2 to a Straight: QK | 7♣ 8♣ 10♣ Q♦ K♥ |
Single Card: a Jack | 3 to a Straight Flush: 234 | 2♣ 3♣ 4♣ 6♦ J♥ |
Single Card: a Jack | 3 to a Straight Flush: 235 | 2♣ 3♣ 5♣ 6♦ J♥ |
Single Card: a Jack | 3 to a Straight Flush: 245 | 2♣ 4♣ 5♣ 6♦ J♥ |
Single Card: a Jack | 3 to a Straight Flush: 457 | 3♣ 4♦ 5♦ 7♦ J♥ |
Single Card: a Jack | 3 to a Straight Flush: 467 | 3♣ 4♦ 6♦ 7♦ J♥ |
3 to a Straight Flush: 345 | 2 to a Royal Flush: JK | 3♣ 4♣ 5♣ J♦ K♦ |
3 to a Straight Flush: 456 | 2 to a Royal Flush: JK | 4♣ 5♣ 6♣ J♦ K♦ |
3 to a Straight Flush: 567 | 2 to a Royal Flush: JK | 5♣ 6♣ 7♣ J♦ K♦ |
3 to a Straight Flush: 678 | 2 to a Royal Flush: JK | 6♣ 7♣ 8♣ J♦ K♦ |
3 to a Straight Flush: 345 | 2 to a Royal Flush: QK | 3♣ 4♣ 5♣ Q♦ K♦ |
3 to a Straight Flush: 456 | 2 to a Royal Flush: QK | 4♣ 5♣ 6♣ Q♦ K♦ |
3 to a Straight Flush: 567 | 2 to a Royal Flush: QK | 5♣ 6♣ 7♣ Q♦ K♦ |
3 to a Straight Flush: 678 | 2 to a Royal Flush: QK | 6♣ 7♣ 8♣ Q♦ K♦ |
3 to a Straight Flush: 789 | 2 to a Royal Flush: QK | 7♣ 8♣ 9♣ Q♦ K♦ |
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♣ |