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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 | 0 | 256,374,660 | 0.000013 | 77,750.39 | 0.00 | 0.000000 |
| Straight Flush | 50 | 2,063,467,512 | 0.000104 | 9,660.07 | 0.25 | 0.005176 |
| Four of a Kind | 25 | 47,135,557,680 | 0.002365 | 422.89 | 1.36 | 0.059117 |
| Full House | 9 | 229,271,662,080 | 0.011502 | 86.94 | 0.74 | 0.103518 |
| Flush | 6 | 242,680,246,188 | 0.012175 | 82.14 | 0.31 | 0.073048 |
| Straight | 4 | 223,218,061,860 | 0.011198 | 89.30 | 0.10 | 0.044793 |
| Three of a Kind | 3 | 1,482,303,738,876 | 0.074363 | 13.45 | 0.30 | 0.223090 |
| Two Pair | 2 | 2,569,050,435,348 | 0.128883 | 7.76 | 0.13 | 0.257766 |
| Jacks or Better | 1 | 4,245,496,841,844 | 0.212986 | 4.70 | 0.00 | 0.212986 |
| Nothing | 0 | 10,891,754,131,152 | 0.546412 | 1.83 | 0.52 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.20 | 3.72 | 0.979494 | |
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 | 0 | 256,891,176 | 0.000013 | 77,594.06 | 0.00 | 0.000000 |
| Straight Flush | 50 | 2,064,148,632 | 0.000104 | 9,656.88 | 0.25 | 0.005178 |
| Four of a Kind | 25 | 47,136,590,712 | 0.002365 | 422.88 | 1.36 | 0.059118 |
| Full House | 9 | 229,280,959,368 | 0.011502 | 86.94 | 0.74 | 0.103522 |
| Flush | 6 | 242,381,143,692 | 0.012160 | 82.24 | 0.31 | 0.072958 |
| Straight | 4 | 223,305,069,264 | 0.011203 | 89.26 | 0.10 | 0.044811 |
| Three of a Kind | 3 | 1,482,376,851,432 | 0.074367 | 13.45 | 0.30 | 0.223101 |
| Two Pair | 2 | 2,569,201,592,904 | 0.128890 | 7.76 | 0.13 | 0.257781 |
| Jacks or Better | 1 | 4,246,235,363,232 | 0.213023 | 4.69 | 0.00 | 0.213023 |
| Nothing | 0 | 10,890,991,906,788 | 0.546374 | 1.83 | 0.52 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.20 | 3.72 | 0.979491 | |
The following table shows the basic strategy:
| Basic Strategy | |
|---|---|
| Type of Play | Play Details |
| 4 of a Kind | (more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK... |
| Pat Hand | Straight; Flush; Full House; Straight Flush |
| 3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
| 4 to a Royal Flush | TJQK |
| 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 Royal Flush | TJQA; TJKA; TQKA; JQKA |
| 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 Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
| 3 to a Straight Flush | 345; 456; 567; 678; 789; 7TJ; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK |
| 4 to a Straight | JQKA |
| 3 to a Flush | (more)2JA; 2JK; 2QA; 2QK; 2KA; 3JA; 3JK; 3QA; 3QK; 3KA; 4JA; 4JK; 4QA; 4QK... |
| 2 to a Royal Flush | JQ; JK; QK |
| 4 to a Straight | TJQA; TJKA; TQKA |
| 3 to a Straight Flush | A23; A24; A25; A34; A35; A45; 78J; 79J; 8TQ; 9TK |
| 2 to a Royal Flush | JA; QA; KA |
| 4 to a Straight | 9JQK |
| 3 to a Straight Flush | 234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 79T; 89Q |
| 3 to a Straight | JQK |
| 2 to a Straight | JQ; JK; QK |
| 2 to a Straight | JA; QA; KA |
| Single Card | a Jack; 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) |
| 3 to a Flush: 2JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 3JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 4JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 5JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 6JQ | 2 to a Royal Flush: JQ | |
| 3 to a Flush: 7JQ | 2 to a Royal Flush: JQ | |
| 3 to a Straight Flush: 8TQ | 4 to a Straight: TQKA | |
| 3 to a Straight Flush: 89Q | 2 to a Royal Flush: KA | 8♣ 9♣ Q♣ K♦ A♦ |