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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 Flush800685,847,3240.00003429,063.6622.020.027526
Straight Flush0556,641,8920.00002835,809.790.000.000000
Four Aces with any 2,3,48001,782,425,6920.00008911,183.2057.210.071536
Four 2's, 3's, 4's with any A,2,3,40215,750,6440.00001192,390.130.000.000000
Four Aces02,650,264,5680.0001337,521.220.000.000000
Four 2's, 3's, 4's0405,230,7600.00002049,189.830.000.000000
Four 5's through K's02,162,637,8720.0001089,217.090.000.000000
Full House035,683,056,0720.001790558.620.000.000000
Flush067,186,898,7120.003371296.680.000.000000
Straight080,551,951,0080.004041247.460.000.000000
Three of a Kind0497,992,005,8640.02498340.030.000.000000
Two Pair01,022,625,110,5920.05130319.490.000.000000
Jacks or Better04,074,047,411,8680.2043854.890.000.000000
Nothing014,146,685,284,3320.7097041.410.010.000000
Totals19,933,230,517,2001.0000008,075.7879.240.099062

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800677,793,0800.00003429,409.0221.760.027203
Straight Flush0554,974,1800.00002835,917.400.000.000000
Four Aces with any 2,3,48001,787,343,0000.00009011,152.4457.370.071733
Four 2's, 3's, 4's with any A,2,3,40206,650,8120.00001096,458.520.000.000000
Four Aces02,737,996,6080.0001377,280.220.000.000000
Four 2's, 3's, 4's0405,230,7600.00002049,189.830.000.000000
Four 5's through K's02,172,603,0360.0001099,174.810.000.000000
Full House036,008,798,6160.001806553.570.000.000000
Flush065,908,898,2920.003306302.440.000.000000
Straight079,970,452,5480.004012249.260.000.000000
Three of a Kind0501,423,299,5680.02515539.750.000.000000
Two Pair01,026,813,521,8080.05151319.410.000.000000
Jacks or Better04,086,795,834,2880.2050244.880.000.000000
Nothing014,127,767,120,6040.7087551.410.010.000000
Totals19,933,230,517,2001.0000008,086.0679.140.098936

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFour Aces with any 2,3,4; Royal Flush
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
4 of a KindAAAA
3 of a Kind + 1 KickerAAA2; AAA3; AAA4
3 of a KindAAA
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
1 Pair + 1 KickerAA2; AA3; AA4
1 PairAA
Single Cardan Ace
2 to a Royal FlushTA; TJ; TQ; TK; JA; JQ; JK; QA; QK; KA
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: A4Single Card: an Ace
(more)4♣ 4♦ 4♥ 4♠ A♣
2 to a Straight: A3Single Card: an Ace
(more)3♣ 3♦ 3♥ 3♠ A♣
2 to a Straight: A2Single Card: an Ace
(more)2♣ 2♦ 2♥ 2♠ A♣
2 to a Royal Flush: KASingle Card: an Ace
(more)2♣ 2♦ K♣ K♥ A♥
2 to a Royal Flush: QASingle Card: an Ace
(more)2♣ 2♦ Q♣ Q♥ A♥
2 to a Royal Flush: JASingle Card: an Ace
(more)2♣ 2♦ J♣ J♥ A♥
2 to a Royal Flush: TASingle Card: an Ace
(more)2♣ 2♦ 10♣ 10♥ A♥
2 to a Straight Flush: A4Single Card: an Ace
(more)2♣ 2♦ 4♣ 4♥ A♥
2 to a Straight Flush: A3Single Card: an Ace
(more)2♣ 2♦ 3♣ 3♥ A♥
2 to a Straight Flush: A2Single Card: an Ace
(more)3♦ 3♥ 3♣ 2♠ A♠