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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 | 800 | 434,643,732 | 0.000022 | 45,861.08 | 13.92 | 0.017444 |
| Straight Flush | 50 | 2,369,877,456 | 0.000119 | 8,411.08 | 0.29 | 0.005945 |
| Four of a Kind | 25 | 46,330,761,252 | 0.002324 | 430.24 | 1.34 | 0.058107 |
| Full House | 6 | 225,251,240,148 | 0.011300 | 88.49 | 0.28 | 0.067802 |
| Flush | 9 | 342,520,253,772 | 0.017183 | 58.20 | 1.10 | 0.154650 |
| Straight | 4 | 207,440,066,460 | 0.010407 | 96.09 | 0.09 | 0.041627 |
| Three of a Kind | 3 | 1,444,817,936,604 | 0.072483 | 13.80 | 0.29 | 0.217449 |
| Two Pair | 2 | 2,509,709,592,780 | 0.125906 | 7.94 | 0.12 | 0.251812 |
| Jacks or Better | 1 | 3,835,970,895,492 | 0.192441 | 5.20 | 0.00 | 0.192441 |
| Nothing | 0 | 11,318,385,249,504 | 0.567815 | 1.76 | 0.58 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.31 | 18.00 | 1.007276 | |
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 | 800 | 438,660,468 | 0.000022 | 45,441.14 | 14.05 | 0.017605 |
| Straight Flush | 50 | 2,360,195,064 | 0.000118 | 8,445.59 | 0.28 | 0.005920 |
| Four of a Kind | 25 | 46,300,956,060 | 0.002323 | 430.51 | 1.34 | 0.058070 |
| Full House | 6 | 225,157,543,020 | 0.011296 | 88.53 | 0.28 | 0.067774 |
| Flush | 9 | 341,942,823,288 | 0.017154 | 58.29 | 1.10 | 0.154390 |
| Straight | 4 | 207,468,246,324 | 0.010408 | 96.08 | 0.09 | 0.041633 |
| Three of a Kind | 3 | 1,443,761,263,848 | 0.072430 | 13.81 | 0.29 | 0.217290 |
| Two Pair | 2 | 2,508,506,717,184 | 0.125845 | 7.95 | 0.12 | 0.251691 |
| Jacks or Better | 1 | 3,844,771,938,108 | 0.192883 | 5.18 | 0.00 | 0.192883 |
| Nothing | 0 | 11,312,522,173,836 | 0.567521 | 1.76 | 0.58 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.31 | 18.13 | 1.007254 | |
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 | Flush |
| 3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
| 4 to a Straight Flush | 9TJQ |
| Pat Hand | Straight |
| 4 to a Straight Flush | (more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... |
| 2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA... |
| 4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
| 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 |
| 3 to a Straight Flush | 9JQ |
| 4 to a Straight | 9TJQ; TJQK |
| 1 Pair | 88 |
| 3 to a Straight Flush | 9TJ |
| 1 Pair | 22; 33; 44; 55; 66; 77; 99; TT |
| 3 to a Straight Flush | A23; A24; A25; 345; 456; 567; 678; 789; 7TJ; 8JQ; 9TQ; 9JK; 9QK |
| 4 to a Straight | 2345; 3456; 4567; 5678; 89TJ |
| 3 to a Straight Flush | A34; A35; A45; 234; 235; 245; 346; 356; 457; 568; 89T; 89J; 8TJ |
| 4 to a Straight | 6789; 789T |
| 3 to a Flush | (more)2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA; 4JA; 4JQ... |
| 3 to a Straight Flush | 467; 578; 679; 689; 78T; 78J; 79T; 79J; 89Q; 8TQ; 9TK |
| 2 to a Royal Flush | JQ; JK; QK |
| 4 to a Straight | JQKA |
| 2 to a Royal Flush | JA; QA; KA |
| 3 to a Flush | (more)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26A; 26J; 26Q; 26K; 27A... |
| 3 to a Straight Flush | 236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T |
| 4 to a Straight | 9JQK; TJQA; TJKA; TQKA |
| 3 to a Straight | JQK |
| 2 to a Royal Flush | TA; TJ; TQ; TK |
| 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 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) |
| Single Card: a Jack | 2 to a Straight: JA | |
| 2 to a Straight Flush: 9T | Garbage: Discard everything | |
| 2 to a Straight Flush: 89 | Garbage: Discard everything | |
| 3 to a Straight Flush: 9TJ | 4 to a Straight: 9TJQ | |
| 2 to a Straight Flush: 45 | Garbage: Discard everything | |
| 2 to a Straight Flush: 78 | Garbage: Discard everything | |
| 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 Flush: 26T | Single Card: an Ace | |
| 3 to a Flush: 36T | Single Card: an Ace | |
| 3 to a Flush: 46T | Single Card: an Ace | |
| 3 to a Flush: 56T | Single Card: an Ace | |
| 3 to a Flush: 27T | Single Card: an Ace | |
| 3 to a Flush: 37T | Single Card: an Ace | |
| 3 to a Flush: 47T | Single Card: an Ace | |
| 3 to a Flush: 57T | Single Card: an Ace | |
| 3 to a Flush: 28T | Single Card: an Ace | |
| 3 to a Flush: 38T | Single Card: an Ace | |
| 3 to a Flush: 48T | Single Card: an Ace | |
| 3 to a Flush: 58T | Single Card: an Ace | |
| 3 to a Flush: 29T | Single Card: an Ace | |
| 3 to a Flush: 39T | Single Card: an Ace | |
| 3 to a Flush: 49T | Single Card: an Ace | |
| 3 to a Flush: 59T | Single Card: an Ace | |
| 2 to a Straight Flush: 56 | Garbage: Discard everything | 2♣ 5♦ 6♦ 9♥ 10♠ |
| 3 to a Flush: 23T | Single Card: an Ace | |
| 3 to a Flush: 24T | Single Card: an Ace | |
| 3 to a Flush: 34T | Single Card: an Ace | |
| 3 to a Flush: 25T | Single Card: an Ace | |
| 3 to a Flush: 35T | Single Card: an Ace | |
| 3 to a Flush: 45T | Single Card: an Ace | |
| 3 to a Flush: 23T | Single Card: a King | 2♣ 3♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 24T | Single Card: a King | 2♣ 4♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 34T | Single Card: a King | 3♣ 4♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 25T | Single Card: a King | 2♣ 5♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 35T | Single Card: a King | 3♣ 5♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 45T | Single Card: a King | 4♣ 5♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 26T | Single Card: a King | 2♣ 6♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 36T | Single Card: a King | 3♣ 6♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 46T | Single Card: a King | 4♣ 6♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 56T | Single Card: a King | 5♣ 6♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 27T | Single Card: a King | 2♣ 7♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 37T | Single Card: a King | 3♣ 7♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 47T | Single Card: a King | 4♣ 7♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 57T | Single Card: a King | 5♣ 7♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 28T | Single Card: a King | 2♣ 8♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 38T | Single Card: a King | 3♣ 8♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 48T | Single Card: a King | 4♣ 8♣ 9♦ 10♣ K♦ |
| 3 to a Flush: 58T | Single Card: a King | 5♣ 8♣ 9♦ 10♣ K♦ |
| 4 to a Straight: 9TJQ | 3 to a Straight Flush: 9JQ | 10♦ 10♣ 9♥ J♥ Q♥ |