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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 | 768 | 494,201,124 | 0.000025 | 40,334.25 | 14.59 | 0.019041 |
| Straight Flush | 48 | 2,113,012,284 | 0.000106 | 9,433.56 | 0.23 | 0.005088 |
| Four of a Kind | 35 | 47,106,610,596 | 0.002363 | 423.15 | 2.73 | 0.082713 |
| Full House | 8 | 229,538,696,724 | 0.011515 | 86.84 | 0.56 | 0.092123 |
| Flush | 5 | 216,248,339,172 | 0.010849 | 92.18 | 0.17 | 0.054243 |
| Straight | 4 | 223,477,427,712 | 0.011211 | 89.20 | 0.10 | 0.044845 |
| Three of a Kind | 3 | 1,484,595,777,852 | 0.074478 | 13.43 | 0.30 | 0.223435 |
| Two Pair | 2 | 2,577,837,059,820 | 0.129324 | 7.73 | 0.13 | 0.258647 |
| Jacks or Better | 1 | 4,294,984,401,828 | 0.215469 | 4.64 | 0.00 | 0.215469 |
| Nothing | 0 | 10,856,834,990,088 | 0.544660 | 1.84 | 0.54 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.20 | 19.36 | 0.995604 | |
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 | 768 | 492,283,152 | 0.000025 | 40,491.39 | 14.53 | 0.018967 |
| Straight Flush | 48 | 2,097,530,220 | 0.000105 | 9,503.19 | 0.23 | 0.005051 |
| Four of a Kind | 35 | 47,112,646,764 | 0.002364 | 423.10 | 2.73 | 0.082723 |
| Full House | 8 | 229,561,164,396 | 0.011517 | 86.83 | 0.57 | 0.092132 |
| Flush | 5 | 215,749,187,088 | 0.010824 | 92.39 | 0.17 | 0.054118 |
| Straight | 4 | 223,104,682,212 | 0.011193 | 89.34 | 0.10 | 0.044770 |
| Three of a Kind | 3 | 1,484,827,749,264 | 0.074490 | 13.42 | 0.30 | 0.223470 |
| Two Pair | 2 | 2,578,134,586,968 | 0.129339 | 7.73 | 0.13 | 0.258677 |
| Jacks or Better | 1 | 4,299,267,419,064 | 0.215683 | 4.64 | 0.00 | 0.215683 |
| Nothing | 0 | 10,852,883,268,072 | 0.544462 | 1.84 | 0.54 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.20 | 19.30 | 0.995592 | |
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 | 8TJ; 9TJ; 9TQ; 9JQ |
| 4 to a Straight | JQKA |
| 3 to a Straight Flush | 8JQ; 9JK; 9QK |
| 2 to a Royal Flush | JA; JQ; JK; QK |
| 3 to a Straight Flush | 456; 567; 678; 789; 89J |
| 2 to a Royal Flush | QA |
| 3 to a Straight Flush | 89T |
| 2 to a Royal Flush | KA |
| 3 to a Straight Flush | 345 |
| 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; 689; 78J; 79J; 7TJ; 89Q; 8TQ |
| 2 to a Straight | JK; QK |
| 2 to a Royal Flush | TJ |
| 2 to a Straight | JA |
| Single Card | a Jack |
| 3 to a Straight Flush | 346; 356; 457; 467; 568; 578; 679; 78T; 79T; 9TK |
| 2 to a Straight | QA; KA |
| 3 to a Straight Flush | 234; 235; 245 |
| 2 to a Royal Flush | TQ |
| Single Card | 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 |
| 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: TJ | 2 to a Straight: JK | |
| 2 to a Straight: JA | 2 to a Royal Flush: TJ | |
| Single Card: a Queen | 2 to a Royal Flush: TQ | |
| 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: 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: 346 | Single Card: a Jack | |
| 3 to a Straight Flush: 356 | Single Card: a Jack | |
| 3 to a Straight Flush: 457 | Single Card: a Jack | |
| 3 to a Straight Flush: 467 | Single Card: a Jack | |
| 2 to a Straight: JK | 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 | |
| 3 to a Straight Flush: 78T | Single Card: a Jack | |
| 3 to a Straight Flush: 79T | Single Card: a Jack | |
| Single Card: a Queen | 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: 457 | |
| Single Card: a Queen | 3 to a Straight Flush: 467 | |
| Single Card: a Queen | 3 to a Straight Flush: 568 | |
| Single Card: a Queen | 3 to a Straight Flush: 578 | |
| Single Card: an Ace | 3 to a Straight Flush: 234 | |
| Single Card: an Ace | 3 to a Straight Flush: 235 | |
| Single Card: an Ace | 3 to a Straight Flush: 245 | |
| 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: 79J | 2 to a Straight: JQ | 7♣ 9♣ J♣ Q♦ A♥ |
| 3 to a Straight Flush: 78T | 2 to a Straight: QK | 7♣ 8♣ 10♣ Q♦ K♥ |
| 3 to a Straight Flush: 79T | 2 to a Straight: QK | 7♣ 9♣ 10♣ Q♦ K♥ |
| 3 to a Straight Flush: 346 | 2 to a Straight: JA | 3♣ 4♣ 6♣ J♦ A♥ |
| 3 to a Straight Flush: 356 | 2 to a Straight: JA | 3♣ 5♣ 6♣ J♦ A♥ |
| 3 to a Straight Flush: 457 | 2 to a Straight: JA | 4♣ 5♣ 7♣ J♦ A♥ |
| 3 to a Straight Flush: 467 | 2 to a Straight: JA | 4♣ 6♣ 7♣ J♦ A♥ |
| 3 to a Straight Flush: 568 | 2 to a Straight: JA | 5♣ 6♣ 8♣ J♦ A♥ |
| 3 to a Straight Flush: 578 | 2 to a Straight: JA | 5♣ 7♣ 8♣ J♦ A♥ |
| 3 to a Straight Flush: 679 | 2 to a Straight: JA | 6♣ 7♣ 9♣ J♦ A♥ |
| 3 to a Straight Flush: 78T | 2 to a Straight: JA | 7♣ 8♣ 10♣ J♦ A♥ |
| 3 to a Straight Flush: 79T | 2 to a Straight: JA | 7♣ 9♣ 10♣ J♦ A♥ |
| Single Card: a Queen | 3 to a Straight Flush: 234 | 2♣ 3♣ 4♣ 6♦ Q♥ |
| Single Card: a Queen | 3 to a Straight Flush: 235 | 2♣ 3♣ 5♣ 6♦ Q♥ |
| Single Card: a Queen | 3 to a Straight Flush: 245 | 2♣ 4♣ 5♣ 6♦ Q♥ |
| Single Card: a Queen | 3 to a Straight Flush: 679 | 5♣ 6♦ 7♦ 9♦ Q♥ |
| Single Card: a Jack | 3 to a Straight Flush: 689 | 5♣ 6♦ 8♦ 9♦ J♥ |
| Single Card: a Queen | 3 to a Straight Flush: 689 | 5♣ 6♦ 8♦ 9♦ Q♥ |
| 3 to a Straight Flush: 578 | 2 to a Royal Flush: TJ | 5♣ 7♣ 8♣ 10♦ J♦ |
| 3 to a Straight Flush: 456 | 2 to a Royal Flush: JA | 4♣ 5♣ 6♣ J♦ A♦ |
| 3 to a Straight Flush: 567 | 2 to a Royal Flush: JA | 5♣ 6♣ 7♣ J♦ A♦ |
| 3 to a Straight Flush: 678 | 2 to a Royal Flush: JA | 6♣ 7♣ 8♣ J♦ A♦ |