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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 | 980 | 555,658,788 | 0.000028 | 35,873.15 | 26.72 | 0.027318 |
| Straight Flush | 50 | 2,219,167,932 | 0.000111 | 8,982.30 | 0.27 | 0.005567 |
| Four of a Kind | 25 | 46,941,769,752 | 0.002355 | 424.64 | 1.36 | 0.058874 |
| Full House | 9 | 228,927,396,168 | 0.011485 | 87.07 | 0.74 | 0.103362 |
| Flush | 6 | 221,731,831,440 | 0.011124 | 89.90 | 0.28 | 0.066742 |
| Straight | 4 | 225,440,727,216 | 0.011310 | 88.42 | 0.10 | 0.045239 |
| Three of a Kind | 3 | 1,478,231,489,580 | 0.074159 | 13.48 | 0.30 | 0.222477 |
| Two Pair | 2 | 2,569,623,690,708 | 0.128912 | 7.76 | 0.13 | 0.257823 |
| Jacks or Better | 1 | 4,239,963,299,124 | 0.212708 | 4.70 | 0.00 | 0.212708 |
| Nothing | 0 | 10,919,595,486,492 | 0.547809 | 1.83 | 0.55 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 30.43 | 1.000112 | |
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 | 980 | 565,909,644 | 0.000028 | 35,223.34 | 27.21 | 0.027822 |
| Straight Flush | 50 | 2,221,613,772 | 0.000111 | 8,972.41 | 0.27 | 0.005573 |
| Four of a Kind | 25 | 46,912,089,948 | 0.002353 | 424.91 | 1.36 | 0.058837 |
| Full House | 9 | 228,824,768,412 | 0.011480 | 87.11 | 0.73 | 0.103316 |
| Flush | 6 | 222,175,314,864 | 0.011146 | 89.72 | 0.28 | 0.066876 |
| Straight | 4 | 225,571,090,488 | 0.011316 | 88.37 | 0.10 | 0.045265 |
| Three of a Kind | 3 | 1,477,132,161,900 | 0.074104 | 13.49 | 0.30 | 0.222312 |
| Two Pair | 2 | 2,568,284,574,732 | 0.128844 | 7.76 | 0.13 | 0.257689 |
| Jacks or Better | 1 | 4,233,427,867,584 | 0.212380 | 4.71 | 0.00 | 0.212380 |
| Nothing | 0 | 10,928,115,125,856 | 0.548236 | 1.82 | 0.55 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 30.92 | 1.000070 | |
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 | |
| 3 to a Royal Flush | TJK |
| 1 Pair | JJ |
| 3 to a Royal Flush | TQK |
| 1 Pair | KK; 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 |
| 2 to a Royal Flush | TQ |
| 2 to a Straight | JA; QK |
| 2 to a Straight | QA; KA |
| 2 to a Royal Flush | TA; TK |
| 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: TK | 2 to a Straight: KA | |
| 2 to a Straight: QK | 2 to a Royal Flush: TQ | |
| 2 to a Straight: JQ | 2 to a Royal Flush: TJ | |
| 3 to a Royal Flush: TQK | 1 Pair: QQ | |
| 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: TJK | |
| 1 Pair: KK | 3 to a Royal Flush: TJK | |
| 1 Pair: KK | 3 to a Royal Flush: TQK | |
| 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♥ |