Video Poker Strategy Calculator
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 | 500,337,684 | 0.000025 | 39,839.55 | 16.02 | 0.016734 |
Straight Flush | 50 | 2,064,275,592 | 0.000104 | 9,656.28 | 0.25 | 0.004315 |
Four Aces | 100 | 4,289,785,608 | 0.000215 | 4,646.67 | 2.11 | 0.017934 |
Four 2's, 3's, 4's | 60 | 24,238,678,488 | 0.001216 | 822.37 | 4.24 | 0.060800 |
Four 5's through K's | 45 | 96,029,919,828 | 0.004818 | 207.57 | 9.33 | 0.180659 |
Full House | 7 | 204,685,674,252 | 0.010269 | 97.38 | 0.37 | 0.059900 |
Flush | 5 | 199,423,821,324 | 0.010005 | 99.95 | 0.16 | 0.041686 |
Straight | 4 | 219,033,616,500 | 0.010988 | 91.01 | 0.10 | 0.036628 |
Three of a Kind | 3 | 1,378,191,848,364 | 0.069140 | 14.46 | 0.28 | 0.172851 |
Two Pair | 2 | 2,590,840,813,860 | 0.129976 | 7.69 | 0.13 | 0.216627 |
Jacks or Better | 1 | 4,177,251,155,376 | 0.209562 | 4.77 | 0.00 | 0.174635 |
Nothing | 0 | 11,036,680,590,324 | 0.553682 | 1.81 | 0.53 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 33.54 | 0.982768 |
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 | 497,079,660 | 0.000025 | 40,100.68 | 15.92 | 0.016625 |
Straight Flush | 50 | 2,055,618,144 | 0.000103 | 9,696.95 | 0.25 | 0.004297 |
Four Aces | 100 | 4,292,783,052 | 0.000215 | 4,643.43 | 2.11 | 0.017947 |
Four 2's, 3's, 4's | 60 | 24,229,529,808 | 0.001216 | 822.68 | 4.23 | 0.060777 |
Four 5's through K's | 45 | 95,995,633,176 | 0.004816 | 207.65 | 9.33 | 0.180595 |
Full House | 7 | 204,725,392,836 | 0.010271 | 97.37 | 0.37 | 0.059912 |
Flush | 5 | 198,519,909,036 | 0.009959 | 100.41 | 0.16 | 0.041497 |
Straight | 4 | 218,613,551,220 | 0.010967 | 91.18 | 0.10 | 0.036558 |
Three of a Kind | 3 | 1,378,962,776,100 | 0.069179 | 14.46 | 0.28 | 0.172948 |
Two Pair | 2 | 2,591,057,985,876 | 0.129987 | 7.69 | 0.13 | 0.216645 |
Jacks or Better | 1 | 4,184,622,784,008 | 0.209932 | 4.76 | 0.00 | 0.174943 |
Nothing | 0 | 11,029,657,474,284 | 0.553330 | 1.81 | 0.53 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 33.43 | 0.982742 |
The following table shows the basic strategy:
Basic Strategy
Type of Play | Play Details |
---|---|
4 of a Kind | AAAA |
Pat Hand | Four 5's through K's; Four 2's, 3's, 4's; Straight Flush; Royal Flush |
4 to a Royal Flush | TJQA; TJQK; TJKA; TQKA; JQKA |
3 of a Kind + 1 Kicker | (more)222A; 3332; 333A; 4442; 4443; 444A; 5552; 5553; 5554; 555A; 6662; 6664... |
3 of a Kind + 1 Kicker | 6663; 7772; 7776; 777A; 8882; TTT7 |
3 of a Kind | 888; 999; TTT; AAA |
Pat Hand | Straight; Flush; Full House |
3 of a Kind | 222; 333; 444; 555; 666; 777; JJJ; QQQ; KKK |
1 Pair + 2 Kickers | 332A; 443A |
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 + 2 Kickers | (more)5523; 554A; 6624; 665A; 7725; 7734; 776A; 8826; 8835; 887A; 9927; 9936... |
1 Pair | JJ; QQ; KK; AA |
3 to a Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
1 Pair + 1 Kicker | 332; 33A; 443; 44A |
4 to a Flush | (more)2347; 234J; 234Q; 234K; 2357; 2358; 235J; 235Q; 235K; 236A; 236J; 236Q... |
1 Pair | 77; 88; 99; TT |
4 to a Flush | (more)2348; 2349; 234T; 2359; 235T; 237A; 2378; 2379; 237T; 237J; 237Q; 237K... |
1 Pair | 44; 66 |
4 to a Flush | (more)2367; 2368; 2369; 236T; 245J; 245Q; 245K; 2467; 2468; 2469; 246T; 246J... |
1 Pair | 33; 55 |
1 Pair + 1 Kicker | 22A; 552; 553; 554; 55A |
4 to a Flush | (more)2457; 2458; 2459; 245T; 2567; 2568; 2569; 256T; 2578; 2579; 257T; 2589... |
1 Pair | 22 |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK |
3 to a Straight Flush | A23; A34; A45; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ |
4 to a Straight | JQKA |
2 to a Royal Flush | JQ |
3 to a Straight Flush | 235; 9JK; 9QK |
2 to a Royal Flush | JA; JK; QA; QK |
3 to a Straight Flush | 456; 567; 678; 789; 89T |
2 to a Royal Flush | KA |
4 to a Straight | 9JQK; TJQA; TJKA; TQKA |
3 to a Flush | 56A; 67A; 78A; 89A; 9TA |
3 to a Straight | JQK |
3 to a Straight Flush | 246; 345; 347 |
2 to a Straight | JQ |
Single Card | an Ace |
3 to a Straight Flush | A24; A25; A35; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK |
2 to a Straight | JK; QK |
2 to a Royal Flush | TJ |
3 to a Straight Flush | 234; 245; 346; 356; 457; 467; 568; 578; 679; 79T |
Single Card | a Jack |
3 to a Straight Flush | 78T |
2 to a Royal Flush | TQ |
Single Card | a Queen; a King |
3 to a Flush | 257; 268; 279; 28T; 358; 369; 37T; 459; 46T |
3 to a Straight Flush | 236; 256; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T |
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: TK | Single Card: a King | |
2 to a Royal Flush: TJ | 2 to a Straight: JK | |
Single Card: an Ace | 2 to a Straight: JQ | |
3 to a Straight Flush: A24 | Single Card: an Ace | |
3 to a Straight Flush: A35 | Single Card: an Ace | |
3 to a Straight Flush: A25 | Single Card: an Ace | |
1 Pair + 1 Kicker: 554 | 1 Pair: 55 | |
1 Pair + 1 Kicker: 55A | 1 Pair: 55 | |
2 to a Royal Flush: JQ | 3 to a Straight Flush: 8JQ | |
1 Pair + 1 Kicker: 552 | 1 Pair: 55 | |
1 Pair + 1 Kicker: 553 | 1 Pair: 55 | |
2 to a Royal Flush: TJ | Single Card: an Ace | |
3 to a Straight Flush: 7TJ | 2 to a Straight: JQ | |
Single Card: a Queen | 2 to a Royal Flush: TQ | |
3 to a Straight Flush: 78T | Single Card: a Jack | |
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: 89Q | Single Card: an Ace | |
Single Card: an Ace | 3 to a Straight Flush: 246 | |
Single Card: a Jack | 3 to a Straight Flush: 346 | |
Single Card: a Jack | 3 to a Straight Flush: 356 | |
Single Card: an Ace | 3 to a Straight Flush: 347 | |
2 to a Straight: JK | 3 to a Straight Flush: 78J | |
3 to a Straight Flush: 8TQ | Single Card: an Ace | |
Single Card: a Jack | 3 to a Straight Flush: 457 | |
Single Card: a Jack | 3 to a Straight Flush: 467 | |
Single Card: a Jack | 3 to a Straight Flush: 568 | |
3 to a Straight Flush: 7TJ | Single Card: an Ace | |
3 to a Straight Flush: 9TK | Single Card: an Ace | |
Single Card: a Queen | 3 to a Straight Flush: 346 | |
Single Card: a Queen | 3 to a Straight Flush: 356 | |
Single Card: a Queen | 3 to a Straight Flush: 457 | |
Single Card: a Queen | 3 to a Straight Flush: 467 | |
Single Card: a Jack | 3 to a Straight Flush: 578 | |
Single Card: a Jack | 3 to a Straight Flush: 234 | |
Single Card: a Jack | 3 to a Straight Flush: 245 | |
Single Card: a Jack | 3 to a Straight Flush: 79T | |
2 to a Straight: JK | 3 to a Straight Flush: 79J | |
2 to a Straight: JK | 3 to a Straight Flush: 7TJ | |
3 to a Straight Flush: 78J | 2 to a Straight: JQ | 7♣8♣J♣Q♦A♥ |
3 to a Straight Flush: 79J | 2 to a Straight: JQ | 7♣9♣J♣Q♦A♥ |
3 to a Straight Flush: 679 | 2 to a Straight: JK | 6♣7♣9♣J♦K♥ |
3 to a Straight Flush: 679 | 2 to a Straight: QK | 6♣7♣9♣Q♦K♥ |
3 to a Straight Flush: 78T | 2 to a Straight: QK | 7♣8♣10♣Q♦K♥ |
3 to a Straight Flush: 79T | 2 to a Straight: QK | 7♣9♣10♣Q♦K♥ |
Single Card: a Queen | 3 to a Straight Flush: 234 | 2♣3♣4♣6♦Q♥ |
Single Card: a Queen | 3 to a Straight Flush: 245 | 2♣4♣5♣6♦Q♥ |
Single Card: a Queen | 3 to a Straight Flush: 568 | 4♣5♦6♦8♦Q♥ |
Single Card: a Queen | 3 to a Straight Flush: 578 | 4♣5♦7♦8♦Q♥ |
Single Card: a Jack | 3 to a Straight Flush: 679 | 5♣6♦7♦9♦J♥ |
Single Card: a Jack | 3 to a Straight Flush: 689 | 5♣6♦8♦9♦J♥ |
3 to a Straight Flush: 578 | 2 to a Royal Flush: TJ | 5♣7♣8♣10♦J♦ |
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♦ |
3 to a Straight Flush: 456 | 2 to a Royal Flush: QA | 4♣5♣6♣Q♦A♦ |
3 to a Straight Flush: 567 | 2 to a Royal Flush: QA | 5♣6♣7♣Q♦A♦ |
3 to a Straight Flush: 678 | 2 to a Royal Flush: QA | 6♣7♣8♣Q♦A♦ |
3 to a Straight Flush: 789 | 2 to a Royal Flush: QA | 7♣8♣9♣Q♦A♦ |
4 to a Flush: 456J | 1 Pair: 66 | 6♣6♦4♣5♣J♣ |
4 to a Flush: 456Q | 1 Pair: 66 | 6♣6♦4♣5♣Q♣ |
4 to a Flush: 456K | 1 Pair: 66 | 6♣6♦4♣5♣K♣ |
1 Pair: 33 | 4 to a Flush: 345J | 3♣3♦4♣5♣J♣ |
1 Pair: 33 | 4 to a Flush: 357J | 3♣3♦5♣7♣J♣ |
1 Pair: 33 | 4 to a Flush: 358J | 3♣3♦5♣8♣J♣ |
1 Pair: 33 | 4 to a Flush: 359J | 3♣3♦5♣9♣J♣ |
1 Pair: 33 | 4 to a Flush: 35TJ | 3♣3♦5♣10♣J♣ |
1 Pair: 33 | 4 to a Flush: 345Q | 3♣3♦4♣5♣Q♣ |
1 Pair: 33 | 4 to a Flush: 357Q | 3♣3♦5♣7♣Q♣ |
1 Pair: 33 | 4 to a Flush: 358Q | 3♣3♦5♣8♣Q♣ |
1 Pair: 33 | 4 to a Flush: 359Q | 3♣3♦5♣9♣Q♣ |
1 Pair: 33 | 4 to a Flush: 35TQ | 3♣3♦5♣10♣Q♣ |
1 Pair: 33 | 4 to a Flush: 345K | 3♣3♦4♣5♣K♣ |
1 Pair: 33 | 4 to a Flush: 357K | 3♣3♦5♣7♣K♣ |
1 Pair: 33 | 4 to a Flush: 358K | 3♣3♦5♣8♣K♣ |
1 Pair: 33 | 4 to a Flush: 359K | 3♣3♦5♣9♣K♣ |
1 Pair: 33 | 4 to a Flush: 35TK | 3♣3♦5♣10♣K♣ |
3 of a Kind + 1 Kicker: 4443 | 3 of a Kind + 1 Kicker: 4442 | 4♦4♥4♣2♠3♣ |
3 of a Kind + 1 Kicker: 444A | 3 of a Kind + 1 Kicker: 4442 | 4♦4♥4♣2♠A♣ |