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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 Flush61,680831,805,2040.00004223,963.82158,739.682.573880
Straight Flush501,475,497,3760.00007413,509.500.160.003701
Four Aces803,605,199,8080.0001815,529.021.060.014469
Four 2's, 3's, 4's4010,047,102,0480.0005041,983.980.680.020162
Four 5's through K's2521,105,824,8480.001059944.440.500.026471
Full House6173,121,551,5440.008685115.140.060.052110
Flush5178,466,512,1400.008953111.690.020.044766
Straight4154,740,462,7320.007763128.820.000.031052
Three of a Kind31,076,598,463,8520.05401018.520.010.162031
Two Pair21,983,967,551,9480.09953110.050.180.199061
Jacks or Better14,419,309,359,4960.2217064.511.220.221706
Nothing011,909,961,186,2040.5974931.676.700.000000
Totals19,933,230,517,2001.0000002.48158,750.283.349408

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush61,680832,422,8560.00004223,946.04158,857.552.575791
Straight Flush501,474,203,2480.00007413,521.360.160.003698
Four Aces803,656,174,9320.0001835,451.941.080.014674
Four 2's, 3's, 4's4010,047,167,0640.0005041,983.970.680.020162
Four 5's through K's2520,634,348,4240.001035966.020.490.025879
Full House6172,499,013,5400.008654115.560.060.051923
Flush5178,012,680,3360.008930111.980.020.044652
Straight4154,634,370,5520.007758128.910.000.031030
Three of a Kind31,067,667,638,5360.05356218.670.010.160687
Two Pair21,983,740,095,5360.09951910.050.180.199038
Jacks or Better14,420,989,147,9600.2217904.511.220.221790
Nothing011,919,043,254,2160.5979481.676.710.000000
Totals19,933,230,517,2001.0000002.49158,868.163.349325

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandRoyal Flush
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
3 of a KindAAA
Pat HandFlush; Full House; Straight Flush
3 of a Kind222; 333; 444
2 to a Royal FlushJQ
2 to a Royal FlushJK; QK
2 to a Royal FlushJA; QA; KA
2 to a Royal FlushTJ
2 to a Royal FlushTQ
2 to a Royal FlushTK
2 to a Royal FlushTA
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
Pat HandStraight
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 PairJJ; QQ; KK; AA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
1 Pair22; 33; 44
4 to a Straight9TJQ; TJQK
Single Cardan Ace
Single Carda Jack
Single Carda Queen
Single Carda King
1 Pair55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T
Single Carda Ten
3 to a Straight Flush345; 456; 567; 678; 789
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
Single Card: a JackSingle Card: an Ace
(more)5♣ 5♦ 2♣ J♦ A♣
Single Card: a QueenSingle Card: a Jack
(more)5♣ 5♦ 2♣ J♣ Q♥
Single Card: a KingSingle Card: a Queen
(more)5♣ 5♦ 2♣ Q♣ K♥
Single Card: a QueenSingle Card: an Ace
(more)5♣ 5♦ 2♣ Q♥ A♣
Single Card: a KingSingle Card: a Jack
(more)7♣ 7♦ 8♣ J♣ K♥
3 of a Kind: JJJ2 to a Royal Flush: TJ
(more)J♣ J♦ J♥ 2♣ 10♣
3 of a Kind: QQQ2 to a Royal Flush: TQ
(more)Q♣ Q♦ Q♥ 2♣ 10♣
3 of a Kind: KKK2 to a Royal Flush: TK
(more)K♣ K♦ K♥ 2♣ 10♣
1 Pair: 88Single Card: a Jack
(more)8♣ 8♦ J♣ Q♦ K♥
1 Pair: 99Single Card: a Jack
(more)9♣ 9♦ J♣ Q♦ K♥
2 to a Royal Flush: QA2 to a Royal Flush: JK
(more)J♣ J♦ Q♥ K♣ A♥
2 to a Royal Flush: JA2 to a Royal Flush: QK
(more)Q♦ Q♣ J♥ K♣ A♥
1 Pair: 55Single Card: a Jack
(more)5♣ 5♦ J♣ Q♦ K♥
1 Pair: 66Single Card: a Jack
(more)6♣ 6♦ J♣ Q♦ K♥
1 Pair: 77Single Card: a Jack
(more)7♣ 7♦ J♣ Q♦ K♥
2 to a Royal Flush: TQ2 to a Royal Flush: TJ
(more)10♣ 10♦ J♣ J♥ Q♦
2 to a Royal Flush: TK2 to a Royal Flush: TQ
(more)10♣ 10♦ Q♣ Q♥ K♦
2 to a Royal Flush: JK2 to a Royal Flush: JQ
(more)J♣ J♦ Q♣ Q♥ K♦
2 to a Royal Flush: QK2 to a Royal Flush: JQ
(more)J♣ J♦ Q♣ Q♥ K♥
2 to a Royal Flush: KA2 to a Royal Flush: JQ
(more)J♣ J♦ Q♣ K♥ A♥
2 to a Royal Flush: TA2 to a Royal Flush: TK
(more)10♣ 10♦ K♣ K♥ A♦
2 to a Royal Flush: JA2 to a Royal Flush: JK
(more)J♣ J♦ K♣ K♥ A♦
2 to a Royal Flush: KA2 to a Royal Flush: JK
(more)J♣ J♦ K♣ K♥ A♥
2 to a Royal Flush: QA2 to a Royal Flush: QK
(more)Q♣ Q♦ K♣ K♥ A♦
2 to a Royal Flush: KA2 to a Royal Flush: QK
(more)Q♣ Q♦ K♣ K♥ A♥
2 to a Royal Flush: TK2 to a Royal Flush: TJ10♣ 10♦ J♣ J♥ K♦
2 to a Royal Flush: TA2 to a Royal Flush: TJ10♣ 10♦ J♣ J♥ A♦
2 to a Royal Flush: TA2 to a Royal Flush: TQ10♣ 10♦ Q♣ Q♥ A♦
2 to a Royal Flush: JA2 to a Royal Flush: JQJ♣ J♦ Q♣ Q♥ A♦
2 to a Royal Flush: QA2 to a Royal Flush: JQJ♣ J♦ Q♣ Q♥ A♥