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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 Flush800496,250,4240.00002540,167.6815.890.019917
Straight Flush502,068,333,3560.0001049,637.340.250.005188
Four Aces with any 2,3,44001,201,799,6520.00006016,586.159.600.024117
Four Aces with any J,Q,K3201,264,705,1280.00006315,761.176.460.020303
Four 2's, 3's, 4's with any A,2,3,41602,853,941,2560.0001436,984.463.620.022908
Four J's, Q's, K's with any J,Q,K,A1603,877,423,0680.0001955,140.844.920.031123
Four Aces1602,215,126,0680.0001118,998.692.810.017780
Four 2's, 3's, 4's807,663,521,6240.0003842,601.052.400.030757
Four 5's through K's5027,743,435,6760.001392718.483.340.069591
Full House8216,913,024,5840.01088291.900.530.087056
Flush5217,046,638,1400.01088991.840.170.054443
Straight4250,082,744,6040.01254679.710.110.050184
Three of a Kind31,504,589,233,9080.07548113.250.300.226444
Two Pair12,459,526,469,1640.1233888.100.000.123388
Jacks or Better14,258,921,407,9840.2136594.680.000.213659
Nothing010,976,766,462,5640.5506771.820.550.000000
Totals19,933,230,517,2001.0000002.2350.960.996859

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800498,207,6120.00002540,009.8915.960.019995
Straight Flush502,087,130,7200.0001059,550.540.250.005235
Four Aces with any 2,3,44001,211,022,6360.00006116,459.839.670.024302
Four Aces with any J,Q,K3201,270,831,5960.00006415,685.196.490.020401
Four 2's, 3's, 4's with any A,2,3,41602,855,650,2480.0001436,980.283.620.022922
Four J's, Q's, K's with any J,Q,K,A1603,854,198,9400.0001935,171.824.890.030937
Four Aces1602,234,303,2080.0001128,921.452.830.017934
Four 2's, 3's, 4's807,663,311,0960.0003842,601.132.400.030756
Four 5's through K's5027,746,209,6920.001392718.413.340.069598
Full House8216,921,402,3600.01088291.890.530.087059
Flush5218,260,669,0080.01095091.330.180.054748
Straight4251,795,913,1080.01263279.160.110.050528
Three of a Kind31,504,591,680,2640.07548213.250.300.226445
Two Pair12,458,505,861,9280.1233378.110.000.123337
Jacks or Better14,237,452,617,0400.2125824.700.000.212582
Nothing010,996,281,507,7440.5516561.810.550.000000
Totals19,933,230,517,2001.0000002.2351.130.996779

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four J's, Q's, K's with any J,Q,K,A; Four 2's, 3's, 4's with an...
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a KindAAA
Pat HandStraight; Flush; Full House
3 of a Kind + 1 KickerJJJQ; JJJK; JJJA; QQQJ; QQQK; QQQA; KKKJ; KKKQ; KKKA
3 of a Kind222; 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...
1 PairAA
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 Straight89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush8TJ; 9TJ; 9JQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; JQKA
3 to a Straight Flush89J; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal FlushJA; JQ; JK; QA; QK
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 456; 567; 678; 789; 89T
2 to a Royal FlushKA
4 to a Straight9JQK; TJQA
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK; TJKA; TQKA
3 to a StraightJQK
3 to a Straight Flush345; 7TJ; 8TQ; 9TK
Single Cardan Ace
2 to a StraightJQ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78J; 79T; 79J; 89Q
2 to a StraightJK
3 to a Straight Flush78T
2 to a StraightJA; 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 Straight: JQSingle Card: an Ace
(more)2♣ 3♣ J♣ Q♦ A♥
2 to a Straight: JQ4 to a Straight: 89JQ
(more)2♣ 8♣ 9♣ J♦ Q♥
2 to a Straight: JKSingle Card: an Ace
(more)2♣ 3♣ J♣ K♦ A♥
2 to a Straight: QKSingle Card: an Ace
(more)2♣ 3♣ Q♣ K♦ A♥
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 3♦ 8♣ 10♦ Q♦
2 to a Straight: JASingle Card: an Ace
(more)2♣ 3♦ 6♣ J♦ A♣
2 to a Straight: QASingle Card: an Ace
(more)2♣ 3♦ 6♣ Q♦ A♣
2 to a Straight: KASingle Card: an Ace
(more)2♣ 3♦ 6♣ K♦ A♣
Single Card: an Ace3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ 6♣ A♦
3 to a Straight Flush: 89QSingle Card: an Ace
(more)2♣ 8♦ 9♦ Q♦ A♣
3 to a Straight Flush: 78JSingle Card: an Ace
(more)2♣ 7♦ 8♦ J♦ A♣
3 to a Straight Flush: 79JSingle Card: an Ace
(more)2♣ 7♦ 9♦ J♦ A♣
3 to a Straight Flush: 79J2 to a Straight: JQ
(more)2♣ 7♦ 9♦ J♦ Q♣
3 to a Straight Flush: 346Single Card: an Ace
(more)3♣ 4♣ 6♣ J♦ A♥
2 to a Straight: JA3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ J♦ A♣
2 to a Straight: QA3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ Q♦ A♣
2 to a Straight: KA3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ K♦ A♣
2 to a Straight: JA3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ J♦ A♣
2 to a Straight: QA3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ Q♦ A♣
2 to a Straight: KA3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ K♦ A♣
2 to a Straight: JA3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ J♣ A♦
2 to a Straight: QA3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ Q♣ A♦
2 to a Straight: KA3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ K♣ A♦
2 to a Straight: JA3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ J♦ A♣
2 to a Straight: QA3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ Q♦ A♣
2 to a Straight: KA3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ K♦ A♣
2 to a Straight: JA3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ J♣ A♦
2 to a Straight: QA3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ Q♣ A♦
2 to a Straight: KA3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ K♣ A♦
2 to a Straight: JA3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ J♣ A♦
2 to a Straight: QA3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ Q♣ A♦
2 to a Straight: KA3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ K♣ A♦
Single Card: an Ace3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ A♦
2 to a Straight: JK3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
2 to a Straight: JK3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ K♦
Single Card: an Ace3 to a Straight Flush: 8TQ
(more)8♣ 9♦ 10♣ Q♣ A♦
Single Card: a Jack3 to a Straight Flush: 78T6♣ 7♦ 8♦ 10♦ J♥
Single Card: a Jack3 to a Straight Flush: 79T6♣ 7♦ 9♦ 10♦ J♥
3 to a Straight Flush: 79T4 to a Straight: 9TQK7♣ 9♣ 10♣ Q♦ K♥
3 to a Straight Flush: 7892 to a Royal Flush: QK7♣ 8♣ 9♣ Q♦ K♦
3 to a Straight Flush: 4562 to a Royal Flush: JA4♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: JA5♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: JA6♣ 7♣ 8♣ J♦ A♦
3 to a Straight Flush: 4562 to a Royal Flush: QA4♣ 5♣ 6♣ Q♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: QA5♣ 6♣ 7♣ Q♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: QA6♣ 7♣ 8♣ Q♦ A♦
3 to a Straight Flush: 7892 to a Royal Flush: QA7♣ 8♣ 9♣ Q♦ A♦