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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 800 510,712,356 0.000026 39,030.25 16.36 0.020497
Straight Flush 80 2,257,054,164 0.000113 8,831.53 0.71 0.009058
Four Aces 240 4,691,037,528 0.000235 4,249.22 13.44 0.056481
Four 2's, 3's, 4's 120 10,517,376,192 0.000528 1,895.27 7.47 0.063316
Four 5's through K's 50 32,494,516,920 0.001630 613.43 3.91 0.081508
Full House 9 216,509,451,696 0.010862 92.07 0.70 0.097756
Flush 5 221,206,408,260 0.011097 90.11 0.18 0.055487
Straight 4 253,645,957,320 0.012725 78.59 0.11 0.050899
Three of a Kind 3 1,500,742,999,320 0.075288 13.28 0.30 0.225865
Two Pair 1 2,454,199,647,912 0.123121 8.12 0.00 0.123121
Jacks or Better 1 4,220,418,243,924 0.211728 4.72 0.00 0.211728
Nothing 0 11,016,037,111,608 0.552647 1.81 0.55 0.000000
Totals 19,933,230,517,200 1.000000 2.24 43.73 0.995716

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 800 507,321,720 0.000025 39,291.10 16.25 0.020361
Straight Flush 80 2,260,868,952 0.000113 8,816.62 0.71 0.009074
Four Aces 240 4,685,398,164 0.000235 4,254.33 13.43 0.056413
Four 2's, 3's, 4's 120 10,516,764,732 0.000528 1,895.38 7.47 0.063312
Four 5's through K's 50 32,498,189,292 0.001630 613.36 3.92 0.081518
Full House 9 216,486,152,748 0.010861 92.08 0.70 0.097745
Flush 5 220,977,932,748 0.011086 90.20 0.18 0.055430
Straight 4 256,436,967,264 0.012865 77.73 0.12 0.051459
Three of a Kind 3 1,500,312,332,304 0.075267 13.29 0.30 0.225801
Two Pair 1 2,453,077,824,696 0.123065 8.13 0.00 0.123065
Jacks or Better 1 4,216,181,836,968 0.211515 4.73 0.00 0.211515
Nothing 0 11,019,288,927,612 0.552810 1.81 0.55 0.000000
Totals 19,933,230,517,200 1.000000 2.24 43.61 0.995692

The following table shows the basic strategy:

Basic Strategy

Type of Play Play Details
Pat Hand Four 2's, 3's, 4's; Four Aces; Straight Flush; Royal Flush
4 of a Kind 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 Flush; Full House
3 of a Kind 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
4 to a Straight Flush 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
Pat Hand Straight
4 to a Straight Flush
(more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578...
1 Pair AA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal Flush TJQ
1 Pair JJ; QQ; KK
3 to a Royal Flush TJA; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
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; 77; 88
3 to a Straight Flush 9TJ
1 Pair 55; 66; 99; TT
3 to a Straight Flush 8TJ; 8JQ; 9JQ
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; JQKA
3 to a Straight Flush 345; 456; 567; 678; 789; 89T; 89J; 9TQ; 9JK; 9QK
2 to a Royal Flush JQ; JK; QK
4 to a Straight 9JQK; TJQA; TJKA; TQKA
2 to a Royal Flush JA; QA; KA
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 89JQ; 8TJQ; 9TJK; 9TQK
2 to a Straight JQ
Single Card an Ace
2 to a Royal Flush TJ
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)
Single Card: a King 2 to a Royal Flush: TK
(more)2♣3♣4♦10♦K♦
Single Card: an Ace 2 to a Straight: JQ
(more)6♣8♣J♣Q♦A♥
2 to a Straight: JK 2 to a Royal Flush: TJ
(more)2♣3♦10♣J♣K♦
2 to a Royal Flush: JA 4 to a Straight: TJKA
(more)2♣10♣J♦K♣A♦
2 to a Royal Flush: QA 4 to a Straight: TQKA
(more)2♣10♣Q♦K♣A♦
2 to a Royal Flush: KA 4 to a Straight: TQKA
(more)2♣10♣Q♣K♦A♦
2 to a Royal Flush: KA 4 to a Straight: TJKA
(more)2♣10♣J♣K♦A♦
2 to a Royal Flush: JA 4 to a Straight: TJQA
(more)2♣10♣J♦Q♣A♦
2 to a Royal Flush: QA 4 to a Straight: TJQA
(more)2♣10♣J♣Q♦A♦
2 to a Royal Flush: TJ Single Card: an Ace
(more)2♣3♦10♥J♥A♣
4 to a Straight: 9JQK 2 to a Royal Flush: JK
(more)2♣9♦J♣Q♦K♣
4 to a Straight: TJKA 2 to a Royal Flush: JK
(more)2♣10♦J♣K♣A♦
4 to a Straight: 9JQK 2 to a Royal Flush: QK
(more)2♣9♦J♦Q♣K♣
4 to a Straight: TQKA 2 to a Royal Flush: QK
(more)2♣10♦Q♣K♣A♦
3 to a Royal Flush: JQK 1 Pair: JJ
(more)J♣J♦2♣Q♦K♦
3 to a Royal Flush: JQK 1 Pair: QQ
(more)Q♣Q♦2♣J♦K♦
3 to a Royal Flush: JQK 1 Pair: KK
(more)K♣K♦2♣J♦Q♦
1 Pair: 99 3 to a Straight Flush: 9TJ
(more)9♣9♦7♣10♦J♦
1 Pair: TT 3 to a Straight Flush: 9TJ
(more)10♣10♦7♣9♦J♦
1 Pair: JJ 3 to a Royal Flush: TJQ
(more)J♣J♦2♣10♣Q♣
1 Pair: QQ 3 to a Royal Flush: TJQ
(more)Q♣Q♦2♣10♣J♣

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