# Video Poker Strategy Calculator

The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):

### Perfect Strategy Analysis

Hand Payoff Combinations Probability Hit Frequency Variance Return
Royal Flush 800 685,847,324 0.000034 29,063.66 22.02 0.027526
Straight Flush 0 556,641,892 0.000028 35,809.79 0.00 0.000000
Four Aces with any 2,3,4 800 1,782,425,692 0.000089 11,183.20 57.21 0.071536
Four 2's, 3's, 4's with any A,2,3,4 0 215,750,644 0.000011 92,390.13 0.00 0.000000
Four Aces 0 2,650,264,568 0.000133 7,521.22 0.00 0.000000
Four 2's, 3's, 4's 0 405,230,760 0.000020 49,189.83 0.00 0.000000
Four 5's through K's 0 2,162,637,872 0.000108 9,217.09 0.00 0.000000
Full House 0 35,683,056,072 0.001790 558.62 0.00 0.000000
Flush 0 67,186,898,712 0.003371 296.68 0.00 0.000000
Straight 0 80,551,951,008 0.004041 247.46 0.00 0.000000
Three of a Kind 0 497,992,005,864 0.024983 40.03 0.00 0.000000
Two Pair 0 1,022,625,110,592 0.051303 19.49 0.00 0.000000
Jacks or Better 0 4,074,047,411,868 0.204385 4.89 0.00 0.000000
Nothing 0 14,146,685,284,332 0.709704 1.41 0.01 0.000000
Totals 19,933,230,517,200 1.000000 8,075.78 79.24 0.099062

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

### Basic Strategy Analysis

Hand Payoff Combinations Probability Hit Frequency Variance Return
Royal Flush 800 677,793,080 0.000034 29,409.02 21.76 0.027203
Straight Flush 0 554,974,180 0.000028 35,917.40 0.00 0.000000
Four Aces with any 2,3,4 800 1,787,343,000 0.000090 11,152.44 57.37 0.071733
Four 2's, 3's, 4's with any A,2,3,4 0 206,650,812 0.000010 96,458.52 0.00 0.000000
Four Aces 0 2,737,996,608 0.000137 7,280.22 0.00 0.000000
Four 2's, 3's, 4's 0 405,230,760 0.000020 49,189.83 0.00 0.000000
Four 5's through K's 0 2,172,603,036 0.000109 9,174.81 0.00 0.000000
Full House 0 36,008,798,616 0.001806 553.57 0.00 0.000000
Flush 0 65,908,898,292 0.003306 302.44 0.00 0.000000
Straight 0 79,970,452,548 0.004012 249.26 0.00 0.000000
Three of a Kind 0 501,423,299,568 0.025155 39.75 0.00 0.000000
Two Pair 0 1,026,813,521,808 0.051513 19.41 0.00 0.000000
Jacks or Better 0 4,086,795,834,288 0.205024 4.88 0.00 0.000000
Nothing 0 14,127,767,120,604 0.708755 1.41 0.01 0.000000
Totals 19,933,230,517,200 1.000000 8,086.06 79.14 0.098936

The following table shows the basic strategy:

### Basic Strategy

Type of Play Play Details
Pat Hand Four Aces with any 2,3,4; Royal Flush
4 to a Royal Flush TJQA; TJQK; TJKA; TQKA; JQKA
4 of a Kind AAAA
3 of a Kind + 1 Kicker AAA2; AAA3; AAA4
3 of a Kind AAA
3 to a Royal Flush TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
1 Pair + 1 Kicker AA2; AA3; AA4
1 Pair AA
Single Card an Ace
2 to a Royal Flush TA; TJ; TQ; TK; JA; JQ; JK; QA; QK; KA

The following table shows the exceptions to the basic strategy:

### Basic Strategy Exceptions

Right Play Wrong Play Pattern(s)
2 to a Straight: A4 Single Card: an Ace
(more)4♣4♦4♥4♠A♣
2 to a Straight: A3 Single Card: an Ace
(more)3♣3♦3♥3♠A♣
2 to a Straight: A2 Single Card: an Ace
(more)2♣2♦2♥2♠A♣
2 to a Royal Flush: KA Single Card: an Ace
(more)2♣2♦K♣K♥A♥
2 to a Royal Flush: QA Single Card: an Ace
(more)2♣2♦Q♣Q♥A♥
2 to a Royal Flush: JA Single Card: an Ace
(more)2♣2♦J♣J♥A♥
2 to a Royal Flush: TA Single Card: an Ace
(more)2♣2♦10♣10♥A♥
2 to a Straight Flush: A4 Single Card: an Ace
(more)2♣2♦4♣4♥A♥
2 to a Straight Flush: A3 Single Card: an Ace
(more)2♣2♦3♣3♥A♥
2 to a Straight Flush: A2 Single Card: an Ace
(more)3♦3♥3♣2♠A♠