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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 | 557,339,784 | 0.000028 | 35,764.95 | 17.84 | 0.022368 |
Straight Flush | 50 | 2,367,233,172 | 0.000119 | 8,420.48 | 0.28 | 0.005938 |
Four of a Kind | 25 | 46,361,765,628 | 0.002326 | 429.95 | 1.31 | 0.058146 |
Full House | 9 | 224,962,132,572 | 0.011286 | 88.61 | 0.67 | 0.101572 |
Flush | 6 | 323,180,403,384 | 0.016213 | 61.68 | 0.36 | 0.097279 |
Straight | 4 | 266,815,566,132 | 0.013385 | 74.71 | 0.10 | 0.053542 |
Three of a Kind | 3 | 1,438,457,482,728 | 0.072164 | 13.86 | 0.21 | 0.216491 |
Two Pair | 2 | 2,488,581,942,336 | 0.124846 | 8.01 | 0.07 | 0.249692 |
Jacks or Better | 1 | 3,639,609,934,524 | 0.182590 | 5.48 | 0.01 | 0.182590 |
Nothing | 0.5 | 11,502,336,716,940 | 0.577043 | 1.73 | 0.35 | 0.288522 |
Totals | 19,933,230,517,200 | 1.000000 | 1.00 | 21.20 | 1.276140 |
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 | 557,195,808 | 0.000028 | 35,774.19 | 17.83 | 0.022362 |
Straight Flush | 50 | 2,370,708,828 | 0.000119 | 8,408.13 | 0.28 | 0.005947 |
Four of a Kind | 25 | 46,379,330,268 | 0.002327 | 429.79 | 1.31 | 0.058168 |
Full House | 9 | 225,005,501,052 | 0.011288 | 88.59 | 0.67 | 0.101592 |
Flush | 6 | 323,891,344,824 | 0.016249 | 61.54 | 0.36 | 0.097493 |
Straight | 4 | 266,187,831,444 | 0.013354 | 74.88 | 0.10 | 0.053416 |
Three of a Kind | 3 | 1,438,994,438,808 | 0.072191 | 13.85 | 0.21 | 0.216572 |
Two Pair | 2 | 2,489,033,544,336 | 0.124869 | 8.01 | 0.07 | 0.249737 |
Jacks or Better | 1 | 3,628,796,418,612 | 0.182048 | 5.49 | 0.01 | 0.182048 |
Nothing | 0.5 | 11,512,014,203,220 | 0.577529 | 1.73 | 0.35 | 0.288764 |
Totals | 19,933,230,517,200 | 1.000000 | 1.00 | 21.20 | 1.276099 |
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 |
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... |
3 to a Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; JJ; QQ; KK; AA |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; TJQK |
1 Pair | TT |
4 to a Straight | 789T; 89TJ; 9TJQ |
3 to a Straight Flush | (more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 345; 346; 356; 456; 457... |
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 | 9JQK; TJQA; TJKA; TQKA |
2 to a Royal Flush | JA; QA; KA |
3 to a Straight Flush | 236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T |
4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK |
3 to a Flush | (more)28J; 28Q; 29J; 29Q; 29K; 2TA; 2TQ; 2TK; 38J; 38Q; 39J; 39Q; 39K; 3TA... |
2 to a Royal Flush | TJ; TQ |
3 to a Flush | (more)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26A; 26J; 26Q; 26K; 27A... |
4 to a Straight | 789J; 79TJ; 89TQ |
2 to a Royal Flush | TA; TK |
4 to a Straight | A234; A235; A245; A345; 78TJ |
3 to a Straight | TJQ; JQK |
2 to a Straight | JQ |
2 to a Straight Flush | 9J |
Single Card | a Jack; a Queen |
Single Card | a King |
Single Card | an Ace |
3 to a Flush | (more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268... |
4 to a Straight | (more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789... |
2 to a Straight Flush | 67; 9T |
2 to a Straight Flush | 45; 56; 78; 89 |
2 to a Straight Flush | 79; 8T |
2 to a Straight Flush | 34; 35; 46; 57; 68 |
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: QK | Single Card: a Queen | |
Single Card: an Ace | Single Card: a King | |
Single Card: an Ace | Single Card: a Queen | |
Single Card: a King | Single Card: a Queen | |
Single Card: a Ten | Garbage: Discard everything | |
2 to a Straight: JK | Single Card: a Jack | |
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 | |
Single Card: an Ace | Single Card: a Jack | |
Garbage: Discard everything | 2 to a Straight Flush: 34 | |
Garbage: Discard everything | 2 to a Straight Flush: 35 | |
Garbage: Discard everything | 2 to a Straight Flush: 68 | |
Garbage: Discard everything | 2 to a Straight Flush: 79 | |
Garbage: Discard everything | 2 to a Straight Flush: 57 | |
Garbage: Discard everything | 2 to a Straight Flush: 46 | |
Single Card: a Ten | 2 to a Straight Flush: 34 | |
Single Card: a Ten | 2 to a Straight Flush: 35 | |
4 to a Straight: 78TJ | 2 to a Royal Flush: TA | |
Garbage: Discard everything | 2 to a Straight Flush: 8T | |
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 | |
Single Card: a Ten | 2 to a Straight Flush: 46 | |
Single Card: a Ten | 2 to a Straight Flush: 57 | |
2 to a Straight Flush: 34 | 2 to a Straight Flush: 79 | |
2 to a Straight Flush: 34 | 2 to a Straight Flush: 8T | |
2 to a Straight Flush: 35 | 2 to a Straight Flush: 8T | |
2 to a Straight Flush: 34 | 2 to a Straight Flush: 68 | 3♣ 4♣ 6♦ 8♦ 9♥ |
2 to a Straight Flush: 35 | 2 to a Straight Flush: 68 | 3♣ 5♣ 6♦ 8♦ 10♥ |
2 to a Straight Flush: 35 | 2 to a Straight Flush: 79 | 3♣ 5♣ 7♦ 9♦ 10♥ |
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♥ |