# 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

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
(more)2♣3♣4♦10♥K♥
2 to a Royal Flush: TJ 2 to a Straight: JK
(more)2♣3♣10♦J♦K♣
Single Card: an Ace 2 to a Straight: JQ
(more)2♣9♣J♣Q♦A♥
3 to a Straight Flush: A24 Single Card: an Ace
(more)2♣4♣6♦7♦A♣
3 to a Straight Flush: A35 Single Card: an Ace
(more)3♣5♣6♦7♦A♣
3 to a Straight Flush: A25 Single Card: an Ace
(more)2♣5♣7♦9♦A♣
1 Pair + 1 Kicker: 554 1 Pair: 55
(more)5♣5♦2♣4♣10♣
1 Pair + 1 Kicker: 55A 1 Pair: 55
(more)5♣5♦2♣10♣A♦
2 to a Royal Flush: JQ 3 to a Straight Flush: 8JQ
(more)2♣8♦9♣J♦Q♦
1 Pair + 1 Kicker: 552 1 Pair: 55
(more)5♦5♣2♥4♣10♣
1 Pair + 1 Kicker: 553 1 Pair: 55
(more)5♦5♣3♥4♣10♣
2 to a Royal Flush: TJ Single Card: an Ace
(more)2♣4♦10♥J♥A♣
3 to a Straight Flush: 7TJ 2 to a Straight: JQ
(more)2♣7♦10♦J♦Q♣
Single Card: a Queen 2 to a Royal Flush: TQ
(more)2♣8♦9♦10♣Q♣
3 to a Straight Flush: 78T Single Card: a Jack
(more)2♣7♦8♦10♦J♣
3 to a Straight Flush: 78J Single Card: an Ace
(more)2♣7♦8♦J♦A♣
3 to a Straight Flush: 79J Single Card: an Ace
(more)2♣7♦9♦J♦A♣
3 to a Straight Flush: 89Q Single Card: an Ace
(more)2♣8♦9♦Q♦A♣
Single Card: an Ace 3 to a Straight Flush: 246
(more)2♣3♦4♣6♣A♦
Single Card: a Jack 3 to a Straight Flush: 346
(more)2♣3♦4♦6♦J♣
Single Card: a Jack 3 to a Straight Flush: 356
(more)2♣3♦5♦6♦J♣
Single Card: an Ace 3 to a Straight Flush: 347
(more)3♣4♣5♦7♣A♦
2 to a Straight: JK 3 to a Straight Flush: 78J
(more)7♣8♣9♦J♣K♦
3 to a Straight Flush: 8TQ Single Card: an Ace
(more)2♣8♦10♦Q♦A♣
Single Card: a Jack 3 to a Straight Flush: 457
(more)3♣4♦5♦7♦J♣
Single Card: a Jack 3 to a Straight Flush: 467
(more)3♣4♦6♦7♦J♣
Single Card: a Jack 3 to a Straight Flush: 568
(more)4♣5♦6♦8♦J♣
3 to a Straight Flush: 7TJ Single Card: an Ace
(more)2♣7♦10♦J♦A♣
3 to a Straight Flush: 9TK Single Card: an Ace
(more)2♣9♦10♦K♦A♣
Single Card: a Queen 3 to a Straight Flush: 346
(more)2♣3♦4♦6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 356
(more)2♣3♦5♦6♦Q♥
Single Card: a Queen 3 to a Straight Flush: 457
(more)3♣4♦5♦7♦Q♥
Single Card: a Queen 3 to a Straight Flush: 467
(more)3♣4♦6♦7♦Q♥
Single Card: a Jack 3 to a Straight Flush: 578
(more)4♣5♦7♦8♦J♥
Single Card: a Jack 3 to a Straight Flush: 234
(more)2♣3♣4♣6♦J♦
Single Card: a Jack 3 to a Straight Flush: 245
(more)2♣4♣5♣6♦J♦
Single Card: a Jack 3 to a Straight Flush: 79T
(more)6♣7♦9♦10♦J♣
2 to a Straight: JK 3 to a Straight Flush: 79J
(more)7♣8♦9♣J♣K♦
2 to a Straight: JK 3 to a Straight Flush: 7TJ
(more)7♣8♦10♣J♣K♦
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♣