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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 | 976 | 554,637,108 | 0.000028 | 35,939.23 | 26.45 | 0.027157 |
Straight Flush | 50 | 2,218,146,252 | 0.000111 | 8,986.44 | 0.27 | 0.005564 |
Four of a Kind | 25 | 46,944,834,792 | 0.002355 | 424.61 | 1.36 | 0.058878 |
Full House | 9 | 228,938,634,648 | 0.011485 | 87.07 | 0.74 | 0.103367 |
Flush | 6 | 221,687,899,200 | 0.011122 | 89.92 | 0.28 | 0.066729 |
Straight | 4 | 225,414,163,536 | 0.011308 | 88.43 | 0.10 | 0.045234 |
Three of a Kind | 3 | 1,478,350,617,468 | 0.074165 | 13.48 | 0.30 | 0.222495 |
Two Pair | 2 | 2,569,778,781,732 | 0.128919 | 7.76 | 0.13 | 0.257839 |
Jacks or Better | 1 | 4,240,539,117,972 | 0.212737 | 4.70 | 0.00 | 0.212737 |
Nothing | 0 | 10,918,803,684,492 | 0.547769 | 1.83 | 0.55 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 30.16 | 1.000000 |
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 | 976 | 554,313,576 | 0.000028 | 35,960.21 | 26.44 | 0.027141 |
Straight Flush | 50 | 2,207,872,176 | 0.000111 | 9,028.25 | 0.27 | 0.005538 |
Four of a Kind | 25 | 46,940,441,568 | 0.002355 | 424.65 | 1.36 | 0.058872 |
Full House | 9 | 228,928,724,352 | 0.011485 | 87.07 | 0.74 | 0.103363 |
Flush | 6 | 221,469,640,488 | 0.011111 | 90.00 | 0.28 | 0.066663 |
Straight | 4 | 225,183,465,096 | 0.011297 | 88.52 | 0.10 | 0.045188 |
Three of a Kind | 3 | 1,478,234,094,864 | 0.074159 | 13.48 | 0.30 | 0.222478 |
Two Pair | 2 | 2,569,719,166,704 | 0.128916 | 7.76 | 0.13 | 0.257833 |
Jacks or Better | 1 | 4,243,425,312,888 | 0.212882 | 4.70 | 0.00 | 0.212882 |
Nothing | 0 | 10,916,567,485,488 | 0.547657 | 1.83 | 0.55 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 30.15 | 0.999958 |
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... |
3 to a Royal Flush | TJQ; JQA; JQK; JKA; QKA |
1 Pair | JJ; QQ; KK |
3 to a Royal Flush | TJK; TQK |
1 Pair | AA |
3 to a Royal Flush | TJA; TQA; TKA |
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 | 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK |
2 to a Royal Flush | JQ |
3 to a Straight Flush | 345; 456; 567; 678; 789 |
4 to a Straight | JQKA |
2 to a Royal Flush | JA; 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 |
2 to a Royal Flush | TJ |
2 to a Straight | JQ; JK; QK |
2 to a Straight | JA; KA |
2 to a Royal Flush | TQ; TK |
2 to a Straight | QA |
2 to a Royal Flush | TA |
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) |
Single Card: an Ace | 2 to a Royal Flush: TA | |
2 to a Royal Flush: TQ | 2 to a Straight: QK | |
2 to a Royal Flush: TK | 2 to a Straight: KA | |
2 to a Straight: JQ | 2 to a Royal Flush: TJ | |
3 to a Royal Flush: TJK | 1 Pair: JJ | |
3 to a Royal Flush: TQK | 1 Pair: QQ | |
3 to a Royal Flush: TJK | 1 Pair: KK | |
3 to a Royal Flush: TQK | 1 Pair: KK | |
2 to a Straight: QA | 2 to a Royal Flush: TQ | |
4 to a Straight: JQKA | 2 to a Royal Flush: JQ | |
1 Pair: JJ | 3 to a Royal Flush: JQA | |
1 Pair: QQ | 3 to a Royal Flush: JQA | |
1 Pair: AA | 3 to a Royal Flush: JQA | |
1 Pair: JJ | 3 to a Royal Flush: JKA | |
1 Pair: KK | 3 to a Royal Flush: JKA | |
1 Pair: AA | 3 to a Royal Flush: JKA | |
1 Pair: QQ | 3 to a Royal Flush: QKA | |
1 Pair: KK | 3 to a Royal Flush: QKA | |
1 Pair: AA | 3 to a Royal Flush: QKA | |
3 to a Straight Flush: 79J | 4 to a Straight: 9JQK | 7♣ 9♣ J♣ Q♦ K♥ |
3 to a Straight Flush: 7TJ | 4 to a Straight: TJQA | 7♣ 10♣ J♣ Q♦ A♥ |
3 to a Straight Flush: 7TJ | 4 to a Straight: TJKA | 7♣ 10♣ J♣ K♦ A♥ |
3 to a Straight Flush: 8TQ | 4 to a Straight: TQKA | 8♣ 10♣ Q♣ K♦ A♥ |