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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 Flush800493,512,2640.00002540,390.5515.810.019807
Straight Flush502,178,883,2960.0001099,148.370.260.005465
Four Aces with any 2,3,425939,489,6600.00004721,217.080.030.001178
Four 2's, 3's, 4's with any A,2,3,4252,627,932,6320.0001327,585.140.080.003296
Four Aces252,960,763,9360.0001496,732.460.090.003713
Four 2's, 3's, 4's257,881,578,6880.0003952,529.090.230.009885
Four 5's through K's2532,683,402,8480.001640609.890.940.040991
Full House9229,475,482,5960.01151286.860.740.103610
Flush6219,554,786,1600.01101590.790.280.066087
Straight4223,837,565,7840.01122989.050.100.044917
Three of a Kind31,484,003,070,3240.07444913.430.300.223346
Two Pair22,576,946,164,1480.1292797.740.130.258558
Jacks or Better14,277,372,890,9680.2145854.660.000.214585
Nothing010,872,274,993,8960.5454351.830.540.000000
Totals19,933,230,517,2001.0000002.2019.510.995439

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800501,787,8720.00002539,724.4216.070.020139
Straight Flush502,182,408,0920.0001099,133.590.260.005474
Four Aces with any 2,3,425939,489,6600.00004721,217.080.030.001178
Four 2's, 3's, 4's with any A,2,3,4252,627,932,6320.0001327,585.140.080.003296
Four Aces252,959,986,8400.0001486,734.230.090.003712
Four 2's, 3's, 4's257,881,448,6560.0003952,529.130.230.009885
Four 5's through K's2532,682,758,8800.001640609.900.940.040990
Full House9229,472,668,3320.01151286.870.740.103609
Flush6218,710,850,6160.01097291.140.270.065833
Straight4223,980,621,1080.01123789.000.100.044946
Three of a Kind31,484,028,486,9360.07445013.430.300.223350
Two Pair22,577,124,786,3200.1292887.730.130.258576
Jacks or Better14,274,501,705,4600.2144414.660.000.214441
Nothing010,875,635,585,7960.5456031.830.540.000000
Totals19,933,230,517,2001.0000002.2019.780.995429

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Straight Flush; Royal Flush
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 Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush
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
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 StraightTJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
2 to a Royal FlushJQ
4 to a StraightJQKA
2 to a Royal FlushJA; JK; QA; QK; KA
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a StraightJQK
2 to a StraightJQ; QK
2 to a Royal FlushTJ; TQ
2 to a StraightJK; QA
2 to a StraightJA; KA
2 to a Royal FlushTK
Single Carda Jack; a Queen; a King; an Ace
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
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: QA2 to a Royal Flush: TQ
(more)2♣ 3♦ 10♣ Q♣ A♦
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♦ 9♣ 10♦ K♦
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
4 to a Straight: JQKA2 to a Royal Flush: JQ
(more)2♣ J♣ Q♣ K♦ A♦
4 to a Flush: 2TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 2♣ J♣ A♣
4 to a Flush: 3TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 3♣ J♣ A♣
4 to a Flush: 4TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 4♣ J♣ A♣
4 to a Flush: 5TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 5♣ J♣ A♣
4 to a Flush: 6TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 6♣ J♣ A♣
4 to a Flush: 7TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 7♣ J♣ A♣
4 to a Flush: 8TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 8♣ J♣ A♣
4 to a Flush: 9TJA3 to a Royal Flush: TJA
(more)10♣ 10♦ 9♣ J♣ A♣
4 to a Flush: 2TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 2♣ Q♣ A♣
4 to a Flush: 3TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 3♣ Q♣ A♣
4 to a Flush: 4TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 4♣ Q♣ A♣
4 to a Flush: 5TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 5♣ Q♣ A♣
4 to a Flush: 6TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 6♣ Q♣ A♣
4 to a Flush: 7TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 7♣ Q♣ A♣
4 to a Flush: 8TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 8♣ Q♣ A♣
4 to a Flush: 9TQA3 to a Royal Flush: TQA
(more)10♣ 10♦ 9♣ Q♣ A♣
4 to a Flush: 2TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 2♣ K♣ A♣
4 to a Flush: 3TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 3♣ K♣ A♣
4 to a Flush: 4TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 4♣ K♣ A♣
4 to a Flush: 5TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 5♣ K♣ A♣
4 to a Flush: 6TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 6♣ K♣ A♣
4 to a Flush: 7TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 7♣ K♣ A♣
4 to a Flush: 8TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 8♣ K♣ A♣
4 to a Flush: 9TKA3 to a Royal Flush: TKA
(more)10♣ 10♦ 9♣ K♣ A♣
3 to a Straight Flush: 79J4 to a Straight: 9JQK7♣ 9♣ J♣ Q♦ K♥
3 to a Straight Flush: 7TJ4 to a Straight: TJQA7♣ 10♣ J♣ Q♦ A♥
3 to a Straight Flush: 7TJ4 to a Straight: TJKA7♣ 10♣ J♣ K♦ A♥
3 to a Straight Flush: 8TQ4 to a Straight: TQKA8♣ 10♣ Q♣ K♦ A♥