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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 | 5,601 | 427,749,552 | 0.000021 | 46,600.24 | 671.30 | 0.120193 |
Straight Flush | 351 | 2,150,817,312 | 0.000108 | 9,267.75 | 12.70 | 0.037873 |
Four of a Kind | 176 | 46,954,273,980 | 0.002356 | 424.52 | 66.58 | 0.414582 |
Full House | 67 | 228,592,983,420 | 0.011468 | 87.20 | 40.08 | 0.768352 |
Flush | 51 | 242,676,291,696 | 0.012174 | 82.14 | 22.63 | 0.620897 |
Straight | 34 | 243,352,815,744 | 0.012208 | 81.91 | 8.33 | 0.415086 |
Three of a Kind | 24 | 1,473,561,753,420 | 0.073925 | 13.53 | 19.20 | 1.774197 |
Two Pair | 16 | 2,554,789,203,180 | 0.128167 | 7.80 | 8.44 | 2.050677 |
Jacks or Better | 8 | 4,188,116,469,024 | 0.210107 | 4.76 | 0.00 | 1.680858 |
Nothing | 0 | 10,952,608,159,872 | 0.549465 | 1.82 | 34.14 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.22 | 883.42 | 7.882715 |
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 | 5,601 | 435,601,608 | 0.000022 | 45,760.23 | 683.63 | 0.122399 |
Straight Flush | 351 | 2,154,057,132 | 0.000108 | 9,253.81 | 12.72 | 0.037930 |
Four of a Kind | 176 | 46,966,321,548 | 0.002356 | 424.42 | 66.59 | 0.414688 |
Full House | 67 | 228,705,027,372 | 0.011474 | 87.16 | 40.10 | 0.768728 |
Flush | 51 | 239,324,175,360 | 0.012006 | 83.29 | 22.32 | 0.612321 |
Straight | 34 | 243,837,434,076 | 0.012233 | 81.75 | 8.34 | 0.415912 |
Three of a Kind | 24 | 1,474,461,898,164 | 0.073970 | 13.52 | 19.22 | 1.775281 |
Two Pair | 16 | 2,556,694,497,924 | 0.128263 | 7.80 | 8.45 | 2.052207 |
Jacks or Better | 8 | 4,193,607,721,320 | 0.210383 | 4.75 | 0.00 | 1.683062 |
Nothing | 0 | 10,947,043,782,696 | 0.549186 | 1.82 | 34.12 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.22 | 895.50 | 7.882528 |
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 | Straight; Flush |
3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
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 |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ |
3 to a Straight Flush | 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK |
4 to a Straight | JQKA |
2 to a Royal Flush | JA; JQ; 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 |
4 to a Straight | 9TJK; 9TQK |
2 to a Straight | JQ; QK |
2 to a Royal Flush | TJ; TQ |
2 to a Straight | JK; QA |
2 to a Straight | JA; KA |
3 to a Flush | 2TA; 2TK; 3TA; 3TK; 4TA; 4TK; 5TA; 5TK; 6TA; 6TK; 7TA; 7TK; 8TA; 8TK; 9TA |
2 to a Royal Flush | 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 |
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... |
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: QA | 2 to a Royal Flush: TQ | |
2 to a Straight: JK | 2 to a Royal Flush: TJ | |
3 to a Flush: 2JA | 2 to a Royal Flush: JA | |
3 to a Flush: 3JA | 2 to a Royal Flush: JA | |
3 to a Flush: 4JA | 2 to a Royal Flush: JA | |
3 to a Flush: 5JA | 2 to a Royal Flush: JA | |
3 to a Flush: 6JA | 2 to a Royal Flush: JA | |
3 to a Flush: 7JA | 2 to a Royal Flush: JA | |
3 to a Flush: 8JA | 2 to a Royal Flush: JA | |
3 to a Flush: 2QA | 2 to a Royal Flush: QA | |
3 to a Flush: 3QA | 2 to a Royal Flush: QA | |
3 to a Flush: 4QA | 2 to a Royal Flush: QA | |
3 to a Flush: 5QA | 2 to a Royal Flush: QA | |
3 to a Flush: 6QA | 2 to a Royal Flush: QA | |
3 to a Flush: 7QA | 2 to a Royal Flush: QA | |
3 to a Flush: 8QA | 2 to a Royal Flush: QA | |
3 to a Flush: 2KA | 2 to a Royal Flush: KA | |
3 to a Flush: 3KA | 2 to a Royal Flush: KA | |
3 to a Flush: 4KA | 2 to a Royal Flush: KA | |
3 to a Flush: 5KA | 2 to a Royal Flush: KA | |
3 to a Flush: 6KA | 2 to a Royal Flush: KA | |
3 to a Flush: 7KA | 2 to a Royal Flush: KA | |
3 to a Flush: 8KA | 2 to a Royal Flush: KA | |
3 to a Flush: 9KA | 2 to a Royal Flush: KA | |
3 to a Flush: 9JA | 2 to a Royal Flush: JA | |
3 to a Flush: 9QA | 2 to a Royal Flush: QA | |
Garbage: Discard everything | 4 to a Straight: 3467 | |
4 to a Straight: 89JQ | 2 to a Straight: JQ | |
2 to a Straight: JA | 2 to a Royal Flush: TJ | |
Garbage: Discard everything | 3 to a Flush: 237 | |
Garbage: Discard everything | 3 to a Flush: 247 | |
Garbage: Discard everything | 3 to a Flush: 267 | |
Garbage: Discard everything | 3 to a Flush: 238 | |
Garbage: Discard everything | 3 to a Flush: 248 | |
Garbage: Discard everything | 3 to a Flush: 348 | |
Garbage: Discard everything | 3 to a Flush: 257 | 2♣ 3♦ 5♣ 6♦ 7♣ |
Garbage: Discard everything | 3 to a Flush: 268 | 2♣ 3♦ 4♦ 6♣ 8♣ |
Garbage: Discard everything | 3 to a Flush: 368 | 2♣ 3♦ 4♣ 6♦ 8♦ |
Garbage: Discard everything | 3 to a Flush: 278 | 2♣ 3♦ 4♦ 7♣ 8♣ |
Garbage: Discard everything | 3 to a Flush: 378 | 2♣ 3♦ 4♣ 7♦ 8♦ |
Garbage: Discard everything | 3 to a Flush: 239 | 2♣ 3♣ 4♦ 6♦ 9♣ |
Garbage: Discard everything | 3 to a Flush: 249 | 2♣ 3♦ 4♣ 6♦ 9♣ |
Garbage: Discard everything | 3 to a Flush: 349 | 2♣ 3♦ 4♦ 6♣ 9♦ |
Garbage: Discard everything | 3 to a Flush: 269 | 2♣ 3♦ 4♦ 6♣ 9♣ |
Garbage: Discard everything | 3 to a Flush: 369 | 2♣ 3♦ 4♣ 6♦ 9♦ |
Garbage: Discard everything | 3 to a Flush: 469 | 2♣ 3♣ 4♦ 6♦ 9♦ |