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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
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800498,081,1920.00002540,020.0415.950.019990
Straight Flush602,032,648,8600.0001029,806.530.350.006118
Four Aces4404,736,586,3960.0002384,208.3545.780.104554
Four J's, Q's, K's9011,573,308,7880.0005811,722.344.590.052254
Four 2's, 3's, 4's10010,519,710,5760.0005281,894.855.170.052775
Four 5's through 10's7020,993,626,6680.001053949.495.010.073724
Full House8217,005,661,5480.01088791.860.520.087093
Flush5215,876,178,8280.01083092.340.170.054150
Straight4249,309,962,3640.01250779.950.110.050029
Three of a Kind31,505,918,536,5960.07554813.240.280.226644
Two Pair12,461,786,341,7320.1235028.100.000.123502
Jacks or Better14,243,363,970,8320.2128794.700.000.212879
Nothing010,989,615,902,8200.5513211.810.620.000000
Totals19,933,230,517,2001.0000002.2378.561.063712

The following table shows the results when following basic strategy only (not its exceptions):

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800498,489,8640.00002539,987.2315.960.020006
Straight Flush602,032,223,1600.0001029,808.580.350.006117
Four Aces4404,736,522,9280.0002384,208.4145.780.104553
Four J's, Q's, K's9011,572,807,2360.0005811,722.424.590.052252
Four 2's, 3's, 4's10010,519,571,2560.0005281,894.875.170.052774
Four 5's through 10's7020,993,380,5360.001053949.505.000.073723
Full House8217,008,531,5400.01088791.850.520.087094
Flush5215,877,426,5160.01083092.340.170.054150
Straight4248,679,757,6320.01247680.160.110.049903
Three of a Kind31,505,988,346,7520.07555213.240.280.226655
Two Pair12,462,058,503,3520.1235158.100.000.123515
Jacks or Better14,245,071,114,5200.2129654.700.000.212965
Nothing010,988,193,841,9080.5512501.810.620.000000
Totals19,933,230,517,2001.0000002.2378.571.063707

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
4 of a Kind2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT
Pat HandFour J's, Q's, K's; Four Aces; Straight Flush; Royal Flush
3 of a KindAAA
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
Pat HandStraight; Flush; Full House
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
1 PairAA
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; TJQ; 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 Straight9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush9JQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; JQKA
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JK; 9QK
2 to a Royal FlushJA; JQ; JK; QA; QK; KA
4 to a Straight9JQK; TJQA; TJKA; TQKA
Single Cardan Ace
3 to a StraightJQK
3 to a Straight Flush
(more)234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 78J; 79T...
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ; TQ
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 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...
GarbageDiscard 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: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 3♦ 9♣ 10♦ Q♦
4 to a Straight: 9JQK2 to a Royal Flush: JK
(more)2♣ 9♦ J♣ Q♦ K♣
4 to a Straight: TJKA2 to a Royal Flush: JK
(more)2♣ 10♦ J♣ K♣ A♦
4 to a Straight: 9JQK2 to a Royal Flush: QK
(more)2♣ 9♦ J♦ Q♣ K♣
4 to a Straight: TQKA2 to a Royal Flush: QK
(more)2♣ 10♦ Q♣ K♣ A♦