On this page
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 | 1,000 | 553,355,628 | 0.000028 | 36,022.46 | 27.71 | 0.027760 |
Straight Flush | 50 | 2,166,263,964 | 0.000109 | 9,201.66 | 0.26 | 0.005434 |
Four Aces with any 2,3,4 | 400 | 1,227,600,168 | 0.000062 | 16,237.56 | 9.81 | 0.024634 |
Four 2's, 3's, 4's with any A,2,3,4 | 160 | 2,854,343,736 | 0.000143 | 6,983.47 | 3.62 | 0.022911 |
Four Aces | 160 | 3,459,807,300 | 0.000174 | 5,761.37 | 4.39 | 0.027771 |
Four 2's, 3's, 4's | 80 | 7,662,444,216 | 0.000384 | 2,601.42 | 2.40 | 0.030752 |
Four 5's through K's | 50 | 32,390,101,224 | 0.001625 | 615.41 | 3.91 | 0.081246 |
Full House | 8 | 216,088,158,852 | 0.010841 | 92.25 | 0.54 | 0.086725 |
Flush | 5 | 221,771,865,828 | 0.011126 | 89.88 | 0.18 | 0.055629 |
Straight | 4 | 255,876,522,120 | 0.012837 | 77.90 | 0.12 | 0.051347 |
Three of a Kind | 3 | 1,496,667,383,124 | 0.075084 | 13.32 | 0.31 | 0.225252 |
Two Pair | 1 | 2,448,637,933,140 | 0.122842 | 8.14 | 0.00 | 0.122842 |
Jacks or Better | 1 | 4,202,886,945,780 | 0.210848 | 4.74 | 0.00 | 0.210848 |
Nothing | 0 | 11,040,987,792,120 | 0.553899 | 1.81 | 0.52 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 53.76 | 0.973152 |
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 | 1,000 | 553,154,388 | 0.000028 | 36,035.56 | 27.70 | 0.027750 |
Straight Flush | 50 | 2,141,237,448 | 0.000107 | 9,309.21 | 0.26 | 0.005371 |
Four Aces with any 2,3,4 | 400 | 1,229,169,840 | 0.000062 | 16,216.82 | 9.82 | 0.024666 |
Four 2's, 3's, 4's with any A,2,3,4 | 160 | 2,854,575,936 | 0.000143 | 6,982.90 | 3.62 | 0.022913 |
Four Aces | 160 | 3,465,576,696 | 0.000174 | 5,751.78 | 4.40 | 0.027817 |
Four 2's, 3's, 4's | 80 | 7,662,444,216 | 0.000384 | 2,601.42 | 2.40 | 0.030752 |
Four 5's through K's | 50 | 32,389,837,548 | 0.001625 | 615.42 | 3.91 | 0.081246 |
Full House | 8 | 216,127,177,740 | 0.010843 | 92.23 | 0.54 | 0.086740 |
Flush | 5 | 221,299,148,424 | 0.011102 | 90.07 | 0.18 | 0.055510 |
Straight | 4 | 254,371,863,540 | 0.012761 | 78.36 | 0.12 | 0.051045 |
Three of a Kind | 3 | 1,497,128,307,348 | 0.075107 | 13.31 | 0.31 | 0.225321 |
Two Pair | 1 | 2,449,538,404,740 | 0.122887 | 8.14 | 0.00 | 0.122887 |
Jacks or Better | 1 | 4,208,301,950,400 | 0.211120 | 4.74 | 0.00 | 0.211120 |
Nothing | 0 | 11,036,167,668,936 | 0.553657 | 1.81 | 0.52 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 53.76 | 0.973140 |
The following table shows the basic strategy:
Basic Strategy | |
---|---|
Type of Play | Play Details |
Pat Hand | (more)Four 2's, 3's, 4's with any A,2,3,4; Four Aces with any 2,3,4; Straigh... |
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 | AAA |
Pat Hand | Straight; Flush; Full House |
3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK |
4 to a Straight Flush | (more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... |
1 Pair | AA |
2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344... |
3 to a Royal Flush | TJQ; JQA; JQK; JKA; QKA |
2 Pair | TTJJ; TTQQ |
3 to a Royal Flush | TJK; TQK |
1 Pair | JJ; QQ; KK |
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 | 89TJ; 9TJQ; TJQK |
1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
3 to a Straight Flush | 8TJ; 9TJ; 9JQ |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; JQKA |
3 to a Straight Flush | 89J; 8JQ; 9TQ; 9JK; 9QK |
2 to a Royal Flush | JA; JQ; JK; QK |
3 to a Straight Flush | A23; A24; A25; A34; A35; A45; 456; 567; 678; 789; 89T |
2 to a Royal Flush | QA; KA |
4 to a Straight | 9JQK; TJQA |
4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK; TJKA; TQKA |
3 to a Straight | JQK |
3 to a Straight Flush | 345; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK |
2 to a Straight | JQ |
Single Card | an Ace |
2 to a Royal Flush | TJ |
3 to a Straight Flush | 234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 79T |
2 to a Straight | JK; QK |
2 to a Royal Flush | TQ; TK |
Single Card | a Jack; a Queen; a King |
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... |
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 Royal Flush: TJ | Single Card: an Ace | |
2 to a Royal Flush: TJ | 2 to a Straight: JQ | |
2 to a Straight: JK | Single Card: an Ace | |
2 to a Straight: QK | Single Card: an Ace | |
Single Card: an Ace | 2 to a Straight: JQ | |
2 to a Straight: JK | 2 to a Royal Flush: TJ | |
4 to a Straight: TJKA | 2 to a Royal Flush: JA | |
4 to a Straight: TQKA | 2 to a Royal Flush: QA | |
4 to a Straight: TJKA | 2 to a Royal Flush: KA | |
4 to a Straight: TQKA | 2 to a Royal Flush: KA | |
4 to a Straight: TJQA | 2 to a Royal Flush: JA | |
4 to a Straight: TJQA | 2 to a Royal Flush: QA | |
3 to a Straight Flush: 346 | Single Card: an Ace | |
3 to a Straight Flush: 457 | Single Card: an Ace | |
3 to a Straight Flush: 356 | Single Card: an Ace | |
3 to a Straight Flush: 467 | Single Card: an Ace | |
3 to a Straight Flush: 568 | Single Card: an Ace | |
3 to a Straight Flush: 578 | Single Card: an Ace | |
3 to a Straight Flush: 679 | Single Card: an Ace | |
3 to a Straight Flush: 689 | Single Card: an Ace | |
3 to a Straight Flush: 78T | Single Card: an Ace | |
3 to a Straight Flush: 79T | Single Card: an Ace | |
Single Card: an Ace | 3 to a Straight Flush: 78J | |
Single Card: an Ace | 3 to a Straight Flush: 79J | |
Single Card: an Ace | 3 to a Straight Flush: 7TJ | |
3 to a Straight Flush: 234 | 2 to a Straight: JQ | 2♣ 3♣ 4♣ J♦ Q♥ |
3 to a Straight Flush: 235 | 2 to a Straight: JQ | 2♣ 3♣ 5♣ J♦ Q♥ |
3 to a Straight Flush: 245 | 2 to a Straight: JQ | 2♣ 4♣ 5♣ J♦ Q♥ |
3 to a Straight Flush: 346 | 2 to a Straight: JQ | 3♣ 4♣ 6♣ J♦ Q♥ |
3 to a Straight Flush: 356 | 2 to a Straight: JQ | 3♣ 5♣ 6♣ J♦ Q♥ |
3 to a Straight Flush: 457 | 2 to a Straight: JQ | 4♣ 5♣ 7♣ J♦ Q♥ |
3 to a Straight Flush: 467 | 2 to a Straight: JQ | 4♣ 6♣ 7♣ J♦ Q♥ |
3 to a Straight Flush: 568 | 2 to a Straight: JQ | 5♣ 6♣ 8♣ J♦ Q♥ |
3 to a Straight Flush: 578 | 2 to a Straight: JQ | 5♣ 7♣ 8♣ J♦ Q♥ |
3 to a Straight Flush: 679 | 2 to a Straight: JQ | 6♣ 7♣ 9♣ J♦ Q♥ |
Single Card: an Ace | 3 to a Straight Flush: 89Q | 8♣ 9♣ 10♦ Q♣ A♥ |
Single Card: an Ace | 3 to a Straight Flush: 8TQ | 8♣ 9♦ 10♣ Q♣ A♥ |
3 to a Straight Flush: 689 | 4 to a Straight: 89JQ | 6♣ 8♣ 9♣ J♦ Q♥ |
3 to a Straight Flush: 79T | 4 to a Straight: 9TQK | 7♣ 9♣ 10♣ Q♦ K♥ |
3 to a Straight Flush: 234 | Single Card: an Ace | 2♣ 3♣ 4♣ 10♦ A♦ |
3 to a Straight Flush: 568 | 2 to a Royal Flush: TJ | 5♣ 6♣ 8♣ 10♦ J♦ |
3 to a Straight Flush: 578 | 2 to a Royal Flush: TJ | 5♣ 7♣ 8♣ 10♦ J♦ |
3 to a Straight Flush: 789 | 2 to a Royal Flush: QK | 7♣ 8♣ 9♣ Q♦ K♦ |
3 to a Straight Flush: 456 | 2 to a Royal Flush: JA | 4♣ 5♣ 6♣ J♦ A♦ |
3 to a Straight Flush: 567 | 2 to a Royal Flush: JA | 5♣ 6♣ 7♣ J♦ A♦ |
3 to a Straight Flush: 678 | 2 to a Royal Flush: JA | 6♣ 7♣ 8♣ J♦ A♦ |