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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 | 162,329 | 398,327,160 | 0.000020 | 50,042.36 | 524,640.28 | 3.243832 |
| Straight Flush | 12,329 | 2,249,144,016 | 0.000113 | 8,862.59 | 16,333.75 | 1.391129 |
| Four of a Kind | 7,329 | 46,640,566,620 | 0.002340 | 427.38 | 115,689.38 | 17.148686 |
| Full House | 3,929 | 225,840,298,860 | 0.011330 | 88.26 | 149,423.17 | 44.514939 |
| Flush | 1,878 | 303,557,018,184 | 0.015229 | 65.67 | 38,045.42 | 28.599483 |
| Straight | 1,478 | 312,564,598,680 | 0.015681 | 63.77 | 21,855.57 | 23.175896 |
| Three of a Kind | 1,278 | 1,443,679,182,576 | 0.072426 | 13.81 | 69,641.82 | 92.560109 |
| Two Pair | 400 | 2,485,846,176,408 | 0.124709 | 8.02 | 1,312.58 | 49.883458 |
| Jacks or Better | 200 | 3,676,686,890,004 | 0.184450 | 5.42 | 1,750.11 | 36.890025 |
| Nothing | 0 | 11,435,768,314,692 | 0.573704 | 1.74 | 50,744.81 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.35 | 989,436.89 | 297.407557 | |
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 | 162,329 | 397,850,916 | 0.000020 | 50,102.26 | 524,013.12 | 3.239954 |
| Straight Flush | 12,329 | 2,244,794,280 | 0.000113 | 8,879.76 | 16,302.20 | 1.388439 |
| Four of a Kind | 7,329 | 46,661,815,500 | 0.002341 | 427.19 | 115,742.61 | 17.156499 |
| Full House | 3,929 | 225,889,691,580 | 0.011332 | 88.24 | 149,457.16 | 44.524674 |
| Flush | 1,878 | 304,072,896,024 | 0.015255 | 65.55 | 38,110.84 | 28.648086 |
| Straight | 1,478 | 311,989,648,212 | 0.015652 | 63.89 | 21,815.95 | 23.133265 |
| Three of a Kind | 1,278 | 1,444,288,929,288 | 0.072456 | 13.80 | 69,673.49 | 92.599203 |
| Two Pair | 400 | 2,486,272,990,464 | 0.124730 | 8.02 | 1,313.22 | 49.892023 |
| Jacks or Better | 200 | 3,668,661,489,600 | 0.184048 | 5.43 | 1,745.72 | 36.809502 |
| Nothing | 0 | 11,442,750,411,336 | 0.574054 | 1.74 | 50,770.36 | 0.000000 |
| Totals | 19,933,230,517,200 | 1.000000 | 2.35 | 988,944.68 | 297.391644 | |
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 | Full House; Straight Flush; Royal Flush |
| 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... |
| 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 | 9TJQ; TJQK |
| 1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
| 3 to a Straight Flush | A23; A24; A25; 9JQ |
| 4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; JQKA |
| 3 to a Straight Flush | (more)A34; A35; A45; 234; 235; 245; 345; 346; 356; 456; 457; 467; 567; 568... |
| 4 to a Straight | 9JQK; TQKA |
| 4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK; TJQA; TJKA |
| 3 to a Straight Flush | 78J; 79J; 7TJ; 89Q; 8TQ; 9TK |
| 3 to a Flush | (more)2TK; 2JA; 2JK; 2QA; 2QK; 2KA; 3TK; 3JA; 3JK; 3QA; 3QK; 3KA; 4TK; 4JA... |
| 2 to a Royal Flush | JA; JQ; JK; QA; QK; KA |
| 4 to a Straight | A234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ |
| 3 to a Straight | TJQ; JQK |
| 2 to a Royal Flush | TJ |
| 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)28J; 28Q; 29J; 29Q; 29K; 2TA; 2TQ; 38J; 38Q; 39J; 39Q; 39K; 3TA; 3TQ... |
| 2 to a Royal Flush | TQ |
| 3 to a Flush | (more)23K; 24K; 25K; 26A; 26K; 27A; 27K; 28A; 28K; 29A; 34K; 35K; 36A; 36K... |
| 2 to a Straight | JQ |
| 3 to a Flush | (more)23J; 23Q; 24J; 24Q; 25J; 25Q; 26J; 26Q; 27J; 27Q; 34J; 34Q; 35J; 35Q... |
| 2 to a Royal Flush | TK |
| Single Card | a Jack |
| 2 to a Straight | JK; QK |
| Single Card | a Queen |
| Single Card | a King |
| 2 to a Royal Flush | TA |
| Single Card | an Ace |
| 3 to a Flush | (more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268... |
| 2 to a Straight Flush | 78; 9T |
| 2 to a Straight Flush | 45; 56; 67; 89 |
| 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: JK | Single Card: a Jack | |
| Single Card: an Ace | Single Card: a King | |
| Single Card: an Ace | Single Card: a Queen | |
| Single Card: a Queen | 2 to a Straight: QK | |
| 2 to a Straight Flush: 9J | Single Card: a Jack | |
| 2 to a Straight Flush: 8T | Garbage: Discard everything | |
| 2 to a Royal Flush: TQ | 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: 7TQ | |
| 2 to a Royal Flush: TA | Single Card: a King | |
| Single Card: a Ten | Garbage: Discard everything | |
| 2 to a Straight: JQ | 3 to a Flush: 28J | |
| 2 to a Straight: JQ | 3 to a Flush: 38J | |
| 2 to a Straight: JQ | 3 to a Flush: 48J | |
| 2 to a Straight: JQ | 3 to a Flush: 58J | |
| 2 to a Straight: JQ | 3 to a Flush: 68J | |
| 2 to a Straight: JQ | 3 to a Flush: 28Q | |
| 2 to a Straight: JQ | 3 to a Flush: 38Q | |
| 2 to a Straight: JQ | 3 to a Flush: 48Q | |
| 2 to a Straight: JQ | 3 to a Flush: 58Q | |
| 2 to a Straight: JQ | 3 to a Flush: 68Q | |
| 2 to a Straight: JQ | 3 to a Flush: 78Q | |
| 2 to a Straight Flush: 35 | Garbage: Discard everything | |
| 2 to a Straight Flush: 79 | Garbage: Discard everything | |
| Single Card: an Ace | Single Card: a Jack | |
| 2 to a Royal Flush: TQ | 4 to a Straight: 678T | |
| 2 to a Royal Flush: TQ | 4 to a Straight: 679T | |
| 3 to a Flush: 23J | 2 to a Straight: JQ | |
| 3 to a Flush: 24J | 2 to a Straight: JQ | |
| 3 to a Flush: 34J | 2 to a Straight: JQ | |
| 3 to a Flush: 25J | 2 to a Straight: JQ | |
| 3 to a Flush: 35J | 2 to a Straight: JQ | |
| 3 to a Flush: 45J | 2 to a Straight: JQ | |
| 3 to a Flush: 26J | 2 to a Straight: JQ | |
| 3 to a Flush: 36J | 2 to a Straight: JQ | |
| 3 to a Flush: 46J | 2 to a Straight: JQ | |
| 3 to a Flush: 56J | 2 to a Straight: JQ | |
| 3 to a Flush: 27J | 2 to a Straight: JQ | |
| 3 to a Flush: 37J | 2 to a Straight: JQ | |
| 3 to a Flush: 47J | 2 to a Straight: JQ | |
| 3 to a Flush: 57J | 2 to a Straight: JQ | |
| 3 to a Flush: 67J | 2 to a Straight: JQ | |
| 3 to a Flush: 23Q | 2 to a Straight: JQ | |
| 3 to a Flush: 24Q | 2 to a Straight: JQ | |
| 3 to a Flush: 34Q | 2 to a Straight: JQ | |
| 3 to a Flush: 25Q | 2 to a Straight: JQ | |
| 3 to a Flush: 35Q | 2 to a Straight: JQ | |
| 3 to a Flush: 45Q | 2 to a Straight: JQ | |
| 3 to a Flush: 26Q | 2 to a Straight: JQ | |
| 3 to a Flush: 36Q | 2 to a Straight: JQ | |
| 3 to a Flush: 46Q | 2 to a Straight: JQ | |
| 3 to a Flush: 56Q | 2 to a Straight: JQ | |
| 3 to a Flush: 27Q | 2 to a Straight: JQ | |
| 3 to a Flush: 37Q | 2 to a Straight: JQ | |
| 3 to a Flush: 47Q | 2 to a Straight: JQ | |
| 3 to a Flush: 57Q | 2 to a Straight: JQ | |
| 3 to a Flush: 67Q | 2 to a Straight: JQ | |
| 2 to a Straight Flush: 34 | Garbage: Discard everything | |
| 2 to a Straight Flush: 45 | 2 to a Straight Flush: 89 | 4♣ 5♣ 8♦ 9♦ 10♥ |
| 2 to a Straight Flush: 45 | 2 to a Straight Flush: 9T | 4♣ 5♣ 8♦ 9♥ 10♥ |
| 3 to a Straight Flush: 67T | 3 to a Straight: TJQ | 6♣ 7♣ 10♣ J♦ Q♥ |
| 3 to a Straight Flush: 458 | 2 to a Royal Flush: TJ | 4♣ 5♣ 8♣ 10♦ J♦ |
| 3 to a Straight Flush: 468 | 2 to a Royal Flush: TJ | 4♣ 6♣ 8♣ 10♦ J♦ |
| 3 to a Straight Flush: 569 | 2 to a Royal Flush: TJ | 5♣ 6♣ 9♣ 10♦ J♦ |