# 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 1,200 574,671,348 0.000029 34,686.31 41.45 0.034596
Straight Flush 50 2,306,413,872 0.000116 8,642.52 0.28 0.005785
Four Aces 160 4,370,851,272 0.000219 4,560.49 5.54 0.035084
Four 2's, 3's, 4's 80 10,447,416,396 0.000524 1,907.96 3.27 0.041930
Four 5's through K's 50 31,906,732,032 0.001601 624.73 3.84 0.080034
Full House 9 211,549,586,724 0.010613 94.22 0.68 0.095516
Flush 7 279,483,962,580 0.014021 71.32 0.50 0.098147
Straight 5 302,429,013,228 0.015172 65.91 0.24 0.075861
Three of a Kind 3 1,453,086,117,768 0.072898 13.72 0.29 0.218693
Two Pair 1 2,371,227,195,312 0.118958 8.41 0.00 0.118958
Jacks or Better 1 3,921,866,536,572 0.196750 5.08 0.00 0.196750
Nothing 0 11,343,982,020,096 0.569099 1.76 0.57 0.000000
Totals 19,933,230,517,200 1.000000 2.32 56.67 1.001354

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 1,200 578,049,084 0.000029 34,483.63 41.69 0.034799
Straight Flush 50 2,319,358,248 0.000116 8,594.29 0.28 0.005818
Four Aces 160 4,392,613,056 0.000220 4,537.90 5.57 0.035259
Four 2's, 3's, 4's 80 10,448,624,868 0.000524 1,907.74 3.27 0.041934
Four 5's through K's 50 31,891,859,880 0.001600 625.03 3.84 0.079997
Full House 9 211,506,926,940 0.010611 94.24 0.68 0.095497
Flush 7 285,141,114,648 0.014305 69.91 0.51 0.100134
Straight 5 300,684,941,484 0.015085 66.29 0.24 0.075423
Three of a Kind 3 1,452,927,064,380 0.072890 13.72 0.29 0.218669
Two Pair 1 2,370,215,560,284 0.118908 8.41 0.00 0.118908
Jacks or Better 1 3,884,908,962,276 0.194896 5.13 0.00 0.194896
Nothing 0 11,378,215,442,052 0.570816 1.75 0.57 0.000000
Totals 19,933,230,517,200 1.000000 2.33 56.95 1.001333

The following table shows the basic strategy:

### Basic Strategy

Type of Play Play Details
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
Pat Hand Straight Flush; Royal Flush
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...
3 to a Royal Flush TJQ; TJK; TQK; JQA; JQK; JKA; QKA
1 Pair AA
3 to a Royal Flush TJA; TQA; TKA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
4 to a Flush
(more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 236A; 2367; 2368; 2369...
1 Pair JJ; QQ; KK
4 to a Flush
(more)234J; 234Q; 234K; 235J; 235Q; 235K; 236J; 236Q; 236K; 237J; 237Q; 237K...
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
1 Pair 22; 33; 44
3 to a Straight Flush 9TJ; 9JQ
1 Pair 55; 66; 77; 88; 99; TT
4 to a Straight JQKA
3 to a Straight Flush 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
4 to a Straight 9JQK; TJQA; TJKA; TQKA
2 to a Royal Flush JA; JQ; JK; QA; QK; KA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a Straight A234; A235; A245; A345; 89JQ; 8TJQ; 9TJK; 9TQK
3 to a Straight Flush 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a Royal Flush TJ
3 to a Straight TJQ; JQK
4 to a Straight 789J; 78TJ; 79TJ; 89TQ
2 to a Straight JQ
3 to a Flush
(more)29J; 29Q; 29K; 2TA; 2TK; 39J; 39Q; 39K; 3TA; 3TK; 49J; 49Q; 49K; 4TA...
2 to a Royal Flush TQ; TK
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)23J; 23Q; 23K; 24J; 24Q; 24K; 25J; 25Q; 25K; 26A; 26J; 26Q; 26K; 27A...
2 to a Royal Flush TA
2 to a Straight JK; QK
Single Card an Ace
Single Card a Jack; a Queen; a King
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...

The following table shows the exceptions to the basic strategy:

### Basic Strategy Exceptions

Right Play Wrong Play Pattern(s)
2 to a Straight: JA Single Card: an Ace
(more)2♣3♣6♦J♥A♦
2 to a Straight: QA Single Card: an Ace
(more)2♣3♣6♦Q♥A♦
2 to a Straight: KA Single Card: an Ace
(more)2♣3♣6♦K♥A♦
3 to a Straight: JKA 2 to a Straight: JK
(more)2♣9♣J♦K♥A♠
3 to a Straight: QKA 2 to a Straight: QK
(more)2♣9♣Q♦K♥A♠
3 to a Straight: TJQ 2 to a Royal Flush: TJ
(more)2♣3♦10♣J♣Q♦
4 to a Straight: 79TJ 2 to a Royal Flush: TJ
(more)2♣7♦9♦10♣J♣
2 to a Straight: JK 3 to a Flush: 23J
(more)2♣3♣4♦J♣K♦
2 to a Straight: JK 3 to a Flush: 24J
(more)2♣3♦4♣J♣K♦
2 to a Straight: JK 3 to a Flush: 34J
(more)2♣3♦4♦J♦K♣
2 to a Straight: JK 3 to a Flush: 25J
(more)2♣3♦5♣J♣K♦
2 to a Straight: JK 3 to a Flush: 35J
(more)2♣3♦5♦J♦K♣
2 to a Straight: JK 3 to a Flush: 45J
(more)2♣4♦5♦J♦K♣
2 to a Straight: JK 3 to a Flush: 26J
(more)2♣3♦6♣J♣K♦
2 to a Straight: JK 3 to a Flush: 36J
(more)2♣3♦6♦J♦K♣
2 to a Straight: JK 3 to a Flush: 46J
(more)2♣4♦6♦J♦K♣
2 to a Straight: JK 3 to a Flush: 56J
(more)2♣5♦6♦J♦K♣
2 to a Straight: JK 3 to a Flush: 27J
(more)2♣3♦7♣J♣K♦
2 to a Straight: JK 3 to a Flush: 37J
(more)2♣3♦7♦J♦K♣
2 to a Straight: JK 3 to a Flush: 47J
(more)2♣4♦7♦J♦K♣
2 to a Straight: JK 3 to a Flush: 57J
(more)2♣5♦7♦J♦K♣
2 to a Straight: JK 3 to a Flush: 67J
(more)2♣6♦7♦J♦K♣
2 to a Straight: JK 3 to a Flush: 28J
(more)2♣3♦8♣J♣K♦
2 to a Straight: JK 3 to a Flush: 38J
(more)2♣3♦8♦J♦K♣
2 to a Straight: JK 3 to a Flush: 48J
(more)2♣4♦8♦J♦K♣
2 to a Straight: JK 3 to a Flush: 58J
(more)2♣5♦8♦J♦K♣
2 to a Straight: JK 3 to a Flush: 68J
(more)2♣6♦8♦J♦K♣
2 to a Straight: QK 3 to a Flush: 23Q
(more)2♣3♣4♦Q♣K♦
2 to a Straight: QK 3 to a Flush: 24Q
(more)2♣3♦4♣Q♣K♦
2 to a Straight: QK 3 to a Flush: 34Q
(more)2♣3♦4♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 25Q
(more)2♣3♦5♣Q♣K♦
2 to a Straight: QK 3 to a Flush: 35Q
(more)2♣3♦5♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 45Q
(more)2♣4♦5♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 26Q
(more)2♣3♦6♣Q♣K♦
2 to a Straight: QK 3 to a Flush: 36Q
(more)2♣3♦6♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 46Q
(more)2♣4♦6♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 56Q
(more)2♣5♦6♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 27Q
(more)2♣3♦7♣Q♣K♦
2 to a Straight: QK 3 to a Flush: 37Q
(more)2♣3♦7♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 47Q
(more)2♣4♦7♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 57Q
(more)2♣5♦7♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 67Q
(more)2♣6♦7♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 28Q
(more)2♣3♦8♣Q♣K♦
2 to a Straight: QK 3 to a Flush: 38Q
(more)2♣3♦8♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 48Q
(more)2♣4♦8♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 58Q
(more)2♣5♦8♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 68Q
(more)2♣6♦8♦Q♦K♣
2 to a Straight: QK 3 to a Flush: 78Q
(more)2♣7♦8♦Q♦K♣
2 to a Straight: JK 3 to a Flush: 23K
(more)2♣3♣4♦J♦K♣
2 to a Straight: QK 3 to a Flush: 23K
(more)2♣3♣4♦Q♦K♣
2 to a Straight: JK 3 to a Flush: 24K
(more)2♣3♦4♣J♦K♣
2 to a Straight: QK 3 to a Flush: 24K
(more)2♣3♦4♣Q♦K♣
2 to a Straight: JK 3 to a Flush: 34K
(more)2♣3♦4♦J♣K♦
2 to a Straight: QK 3 to a Flush: 34K
(more)2♣3♦4♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 25K
(more)2♣3♦5♣J♦K♣
2 to a Straight: QK 3 to a Flush: 25K
(more)2♣3♦5♣Q♦K♣
2 to a Straight: JK 3 to a Flush: 35K
(more)2♣3♦5♦J♣K♦
2 to a Straight: QK 3 to a Flush: 35K
(more)2♣3♦5♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 45K
(more)2♣4♦5♦J♣K♦
2 to a Straight: QK 3 to a Flush: 45K
(more)2♣4♦5♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 26K
(more)2♣3♦6♣J♦K♣
2 to a Straight: QK 3 to a Flush: 26K
(more)2♣3♦6♣Q♦K♣
2 to a Straight: JK 3 to a Flush: 36K
(more)2♣3♦6♦J♣K♦
2 to a Straight: QK 3 to a Flush: 36K
(more)2♣3♦6♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 46K
(more)2♣4♦6♦J♣K♦
2 to a Straight: QK 3 to a Flush: 46K
(more)2♣4♦6♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 56K
(more)2♣5♦6♦J♣K♦
2 to a Straight: QK 3 to a Flush: 56K
(more)2♣5♦6♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 27K
(more)2♣3♦7♣J♦K♣
2 to a Straight: QK 3 to a Flush: 27K
(more)2♣3♦7♣Q♦K♣
2 to a Straight: JK 3 to a Flush: 37K
(more)2♣3♦7♦J♣K♦
2 to a Straight: QK 3 to a Flush: 37K
(more)2♣3♦7♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 47K
(more)2♣4♦7♦J♣K♦
2 to a Straight: QK 3 to a Flush: 47K
(more)2♣4♦7♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 57K
(more)2♣5♦7♦J♣K♦
2 to a Straight: QK 3 to a Flush: 57K
(more)2♣5♦7♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 67K
(more)2♣6♦7♦J♣K♦
2 to a Straight: QK 3 to a Flush: 67K
(more)2♣6♦7♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 28K
(more)2♣3♦8♣J♦K♣
2 to a Straight: QK 3 to a Flush: 28K
(more)2♣3♦8♣Q♦K♣
2 to a Straight: JK 3 to a Flush: 38K
(more)2♣3♦8♦J♣K♦
2 to a Straight: QK 3 to a Flush: 38K
(more)2♣3♦8♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 48K
(more)2♣4♦8♦J♣K♦
2 to a Straight: QK 3 to a Flush: 48K
(more)2♣4♦8♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 58K
(more)2♣5♦8♦J♣K♦
2 to a Straight: QK 3 to a Flush: 58K
(more)2♣5♦8♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 68K
(more)2♣6♦8♦J♣K♦
2 to a Straight: QK 3 to a Flush: 68K
(more)2♣6♦8♦Q♣K♦
2 to a Straight: JK 3 to a Flush: 78K
(more)2♣7♦8♦J♣K♦
2 to a Straight: QK 3 to a Flush: 78K
(more)2♣7♦8♦Q♣K♦
1 Pair: AA 3 to a Royal Flush: JQA
(more)A♣A♦2♣J♣Q♣
1 Pair: AA 3 to a Royal Flush: JKA
(more)A♣A♦2♣J♣K♣
1 Pair: AA 3 to a Royal Flush: QKA
(more)A♣A♦2♣Q♣K♣
Single Card: a Jack 3 to a Straight Flush: 236
(more)2♣3♣4♦6♣J♦
Single Card: a Jack 3 to a Straight Flush: 246
(more)2♣3♦4♣6♣J♦
Single Card: a Jack 3 to a Straight Flush: 256
(more)2♣3♦5♣6♣J♦
Single Card: an Ace 3 to a Straight Flush: 367
(more)3♣4♦6♣7♣A♦
Single Card: an Ace 3 to a Straight Flush: 458
(more)4♣5♣6♦8♣A♦
Single Card: an Ace 3 to a Straight Flush: 468
(more)4♣5♦6♣8♣A♦
Single Card: an Ace 3 to a Straight Flush: 478
(more)4♣5♦7♣8♣A♦
Single Card: an Ace 3 to a Straight Flush: 569
(more)5♣6♣7♦9♣A♦
Single Card: an Ace 3 to a Straight Flush: 579
(more)5♣6♦7♣9♣A♦
Single Card: an Ace 3 to a Straight Flush: 589
(more)5♣6♦8♣9♣A♦
Single Card: an Ace 3 to a Straight Flush: 67T
(more)6♣7♣8♦10♣A♦
Single Card: an Ace 3 to a Straight Flush: 68T
(more)6♣7♦8♣10♣A♦
Single Card: an Ace 3 to a Straight Flush: 69T
(more)6♣7♦9♣10♣A♦
Single Card: a Queen 3 to a Straight Flush: 256
(more)2♣3♦5♣6♣Q♥
Single Card: a Jack 3 to a Straight Flush: 347
(more)3♣4♣5♦7♣J♥
Single Card: a Queen 3 to a Straight Flush: 347
(more)3♣4♣5♦7♣Q♥
Single Card: a Jack 3 to a Straight Flush: 357
(more)3♣4♦5♣7♣J♥
Single Card: a Queen 3 to a Straight Flush: 357
(more)3♣4♦5♣7♣Q♥
Single Card: a Jack 3 to a Straight Flush: 367
(more)3♣4♦6♣7♣J♥
Single Card: a Queen 3 to a Straight Flush: 367
(more)3♣4♦6♣7♣Q♥
Single Card: a Jack 3 to a Straight Flush: 458
(more)4♣5♣6♦8♣J♥
Single Card: a Jack 3 to a Straight Flush: 468
(more)4♣5♦6♣8♣J♥
Single Card: a Jack 3 to a Straight Flush: 478
(more)4♣5♦7♣8♣J♥
Single Card: an Ace 3 to a Straight Flush: 347
(more)3♣4♣6♦7♣A♦
Single Card: an Ace 3 to a Straight Flush: 357
(more)3♣5♣6♦7♣A♦
Single Card: a Queen 3 to a Straight Flush: 236 2♣3♣5♦6♣Q♥
Single Card: a Queen 3 to a Straight Flush: 246 2♣4♣5♦6♣Q♥
Single Card: a Jack 3 to a Straight Flush: 569 5♣6♣7♦9♣J♥
Single Card: a Jack 3 to a Straight Flush: 579 5♣6♦7♣9♣J♥