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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 | 3,201 | 407,423,364 | 0.000020 | 48,925.10 | 208.79 | 0.065427 |
| Straight Flush | 201 | 2,136,247,392 | 0.000107 | 9,330.96 | 4.12 | 0.021541 |
| Four of a Kind | 101 | 46,781,904,696 | 0.002347 | 426.09 | 21.66 | 0.237040 |
| Full House | 43 | 227,569,861,944 | 0.011417 | 87.59 | 16.54 | 0.490914 |
| Flush | 33 | 264,433,390,164 | 0.013266 | 75.38 | 10.45 | 0.437777 |
| Straight | 22 | 252,083,169,804 | 0.012646 | 79.07 | 3.68 | 0.278220 |
| Three of a Kind | 15 | 1,463,345,273,112 | 0.073412 | 13.62 | 7.44 | 1.101185 |
| Two Pair | 10 | 2,535,516,135,000 | 0.127200 | 7.86 | 3.26 | 1.272005 |
| Jacks or Better | 5 | 4,105,321,538,256 | 0.205954 | 4.86 | 0.00 | 1.029768 |
| Nothing | 0 | 11,035,635,573,468 | 0.553630 | 1.81 | 13.48 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 289.42 | 4.933877 | |
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 | 3,201 | 409,700,472 | 0.000021 | 48,653.18 | 209.95 | 0.065792 |
| Straight Flush | 201 | 2,140,911,516 | 0.000107 | 9,310.63 | 4.13 | 0.021588 |
| Four of a Kind | 101 | 46,775,839,632 | 0.002347 | 426.14 | 21.66 | 0.237009 |
| Full House | 43 | 227,543,697,648 | 0.011415 | 87.60 | 16.54 | 0.490858 |
| Flush | 33 | 265,136,052,132 | 0.013301 | 75.18 | 10.48 | 0.438940 |
| Straight | 22 | 252,248,737,692 | 0.012655 | 79.02 | 3.69 | 0.278403 |
| Three of a Kind | 15 | 1,463,088,682,824 | 0.073399 | 13.62 | 7.44 | 1.100992 |
| Two Pair | 10 | 2,535,146,658,360 | 0.127182 | 7.86 | 3.26 | 1.271819 |
| Jacks or Better | 5 | 4,099,849,350,516 | 0.205679 | 4.86 | 0.00 | 1.028396 |
| Nothing | 0 | 11,040,890,886,408 | 0.553894 | 1.81 | 13.48 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 290.63 | 4.933797 | |
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 |
| 4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T |
| 3 to a Straight Flush | 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK |
| 4 to a Straight | JQKA |
| 3 to a Flush | (more)2JA; 2QA; 2KA; 3JA; 3QA; 3KA; 4JA; 4QA; 4KA; 5JA; 5QA; 5KA; 6JA; 6QA... |
| 2 to a Royal Flush | JA; JQ; JK; QA; QK; KA |
| 4 to a Straight | 9JQK; TJQA; TJKA; TQKA |
| 3 to a Straight Flush | (more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568... |
| 3 to a Straight | JQK |
| 4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK |
| 2 to a Straight | JQ; QK |
| 2 to a Royal Flush | TJ; TQ |
| 2 to a Straight | JK; QA |
| 2 to a Straight | JA; KA |
| Single Card | a Jack |
| 3 to a Flush | (more)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26A; 26J; 26Q; 26K; 27A... |
| 2 to a Royal Flush | TK |
| 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 |
| 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 Straight: QA | 2 to a Royal Flush: TQ | |
| 2 to a Straight: JK | 2 to a Royal Flush: TJ | |
| Single Card: a Queen | 3 to a Flush: 26Q | |
| Single Card: a Queen | 3 to a Flush: 27Q | |
| Single Card: a Queen | 3 to a Flush: 37Q | |
| Single Card: a Queen | 3 to a Flush: 28Q | |
| Single Card: a Queen | 3 to a Flush: 38Q | |
| Single Card: a Queen | 3 to a Flush: 48Q | |
| Single Card: a Queen | 3 to a Flush: 23Q | |
| Single Card: a Queen | 3 to a Flush: 24Q | |
| Single Card: a Queen | 3 to a Flush: 25Q | |
| Single Card: a Queen | 3 to a Flush: 36Q | |
| Single Card: a Queen | 3 to a Flush: 47Q | |
| Single Card: a Queen | 3 to a Flush: 58Q | |
| Single Card: a Queen | 3 to a Flush: 68Q | |
| Single Card: a Queen | 3 to a Flush: 78Q | |
| Single Card: a Queen | 3 to a Flush: 34Q | |
| Single Card: a Queen | 3 to a Flush: 35Q | |
| Single Card: a Queen | 3 to a Flush: 46Q | |
| Single Card: a Queen | 3 to a Flush: 57Q | |
| Single Card: a Queen | 3 to a Flush: 67Q | |
| Single Card: a Queen | 3 to a Flush: 45Q | |
| Single Card: a Queen | 3 to a Flush: 56Q | |
| 3 to a Flush: 29J | Single Card: a Jack | |
| 3 to a Flush: 39J | Single Card: a Jack | |
| 3 to a Flush: 49J | Single Card: a Jack | |
| 3 to a Flush: 59J | Single Card: a Jack | |
| 3 to a Flush: 2TQ | 2 to a Royal Flush: TQ | |
| 3 to a Flush: 3TQ | 2 to a Royal Flush: TQ | |
| 3 to a Flush: 4TQ | 2 to a Royal Flush: TQ | |
| 3 to a Flush: 5TQ | 2 to a Royal Flush: TQ | |
| 3 to a Flush: 6TQ | 2 to a Royal Flush: TQ | |
| 3 to a Flush: 28J | Single Card: a Jack | |
| 3 to a Flush: 38J | Single Card: a Jack | |
| 3 to a Flush: 48J | Single Card: a Jack | |
| 3 to a Flush: 58J | Single Card: a Jack | |
| 3 to a Flush: 68J | Single Card: a Jack | |
| 3 to a Flush: 69J | Single Card: a Jack | |
| 2 to a Straight: JA | 2 to a Royal Flush: TJ | |
| 3 to a Flush: 7TQ | 2 to a Royal Flush: TQ | |
| 3 to a Flush: 23J | Single Card: a Jack | |
| 3 to a Flush: 24J | Single Card: a Jack | |
| 3 to a Flush: 34J | Single Card: a Jack | |
| 3 to a Flush: 25J | Single Card: a Jack | |
| 3 to a Flush: 35J | Single Card: a Jack | |
| 3 to a Flush: 45J | Single Card: a Jack | |
| 3 to a Flush: 26J | Single Card: a Jack | |
| 3 to a Flush: 36J | Single Card: a Jack | |
| 3 to a Flush: 46J | Single Card: a Jack | |
| 3 to a Flush: 56J | Single Card: a Jack | |
| 3 to a Flush: 27J | Single Card: a Jack | |
| 3 to a Flush: 37J | Single Card: a Jack | |
| 3 to a Flush: 47J | Single Card: a Jack | |
| 3 to a Flush: 57J | Single Card: a Jack | |
| 3 to a Flush: 67J | Single Card: a Jack | |
| 3 to a Flush: 2JK | 2 to a Royal Flush: JK | |
| 3 to a Flush: 3JK | 2 to a Royal Flush: JK | |
| 3 to a Flush: 4JK | 2 to a Royal Flush: JK | |
| 3 to a Flush: 5JK | 2 to a Royal Flush: JK | |
| 3 to a Flush: 6JK | 2 to a Royal Flush: JK | |
| 3 to a Flush: 7JK | 2 to a Royal Flush: JK | |
| 3 to a Flush: 8JK | 2 to a Royal Flush: JK | |
| 3 to a Flush: 2QK | 2 to a Royal Flush: QK | |
| 3 to a Flush: 3QK | 2 to a Royal Flush: QK | |
| 3 to a Flush: 4QK | 2 to a Royal Flush: QK | |
| 3 to a Flush: 5QK | 2 to a Royal Flush: QK | |
| 3 to a Flush: 6QK | 2 to a Royal Flush: QK | |
| 3 to a Flush: 7QK | 2 to a Royal Flush: QK | |
| 3 to a Flush: 8QK | 2 to a Royal Flush: QK | |