# 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 Flush5,601427,749,5520.00002146,600.24671.300.120193
Straight Flush3512,150,817,3120.0001089,267.7512.700.037873
Four of a Kind17646,954,273,9800.002356424.5266.580.414582
Full House67228,592,983,4200.01146887.2040.080.768352
Flush51242,676,291,6960.01217482.1422.630.620897
Straight34243,352,815,7440.01220881.918.330.415086
Three of a Kind241,473,561,753,4200.07392513.5319.201.774197
Two Pair162,554,789,203,1800.1281677.808.442.050677
Jacks or Better84,188,116,469,0240.2101074.760.001.680858
Nothing010,952,608,159,8720.5494651.8234.140.000000
Totals19,933,230,517,2001.0000002.22883.427.882715

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush5,601435,601,6080.00002245,760.23683.630.122399
Straight Flush3512,154,057,1320.0001089,253.8112.720.037930
Four of a Kind17646,966,321,5480.002356424.4266.590.414688
Full House67228,705,027,3720.01147487.1640.100.768728
Flush51239,324,175,3600.01200683.2922.320.612321
Straight34243,837,434,0760.01223381.758.340.415912
Three of a Kind241,474,461,898,1640.07397013.5219.221.775281
Two Pair162,556,694,497,9240.1282637.808.452.052207
Jacks or Better84,193,607,721,3200.2103834.750.001.683062
Nothing010,947,043,782,6960.5491861.8234.120.000000
Totals19,933,230,517,2001.0000002.22895.507.882528

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
Pat HandStraight; Flush
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
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...
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Straight9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
4 to a StraightJQKA
2 to a Royal FlushJA; JQ; 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
4 to a Straight9TJK; 9TQK
2 to a StraightJQ; QK
2 to a Royal FlushTJ; TQ
2 to a StraightJK; QA
2 to a StraightJA; KA
3 to a Flush2TA; 2TK; 3TA; 3TK; 4TA; 4TK; 5TA; 5TK; 6TA; 6TK; 7TA; 7TK; 8TA; 8TK; 9TA
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
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...
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: QA2 to a Royal Flush: TQ
(more)2♣ 3♦ 10♣ Q♣ A♦
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
3 to a Flush: 2JA2 to a Royal Flush: JA
(more)2♣ 3♦ J♣ Q♦ A♣
3 to a Flush: 3JA2 to a Royal Flush: JA
(more)2♣ 3♦ J♦ Q♣ A♦
3 to a Flush: 4JA2 to a Royal Flush: JA
(more)2♣ 4♦ J♦ Q♣ A♦
3 to a Flush: 5JA2 to a Royal Flush: JA
(more)2♣ 5♦ J♦ Q♣ A♦
3 to a Flush: 6JA2 to a Royal Flush: JA
(more)2♣ 6♦ J♦ Q♣ A♦
3 to a Flush: 7JA2 to a Royal Flush: JA
(more)2♣ 7♦ J♦ Q♣ A♦
3 to a Flush: 8JA2 to a Royal Flush: JA
(more)2♣ 8♦ J♦ Q♣ A♦
3 to a Flush: 2QA2 to a Royal Flush: QA
(more)2♣ 3♦ J♦ Q♣ A♣
3 to a Flush: 3QA2 to a Royal Flush: QA
(more)2♣ 3♦ J♣ Q♦ A♦
3 to a Flush: 4QA2 to a Royal Flush: QA
(more)2♣ 4♦ J♣ Q♦ A♦
3 to a Flush: 5QA2 to a Royal Flush: QA
(more)2♣ 5♦ J♣ Q♦ A♦
3 to a Flush: 6QA2 to a Royal Flush: QA
(more)2♣ 6♦ J♣ Q♦ A♦
3 to a Flush: 7QA2 to a Royal Flush: QA
(more)2♣ 7♦ J♣ Q♦ A♦
3 to a Flush: 8QA2 to a Royal Flush: QA
(more)2♣ 8♦ J♣ Q♦ A♦
3 to a Flush: 2KA2 to a Royal Flush: KA
(more)2♣ 3♦ J♦ K♣ A♣
3 to a Flush: 3KA2 to a Royal Flush: KA
(more)2♣ 3♦ J♣ K♦ A♦
3 to a Flush: 4KA2 to a Royal Flush: KA
(more)2♣ 4♦ J♣ K♦ A♦
3 to a Flush: 5KA2 to a Royal Flush: KA
(more)2♣ 5♦ J♣ K♦ A♦
3 to a Flush: 6KA2 to a Royal Flush: KA
(more)2♣ 6♦ J♣ K♦ A♦
3 to a Flush: 7KA2 to a Royal Flush: KA
(more)2♣ 7♦ J♣ K♦ A♦
3 to a Flush: 8KA2 to a Royal Flush: KA
(more)2♣ 8♦ J♣ K♦ A♦
3 to a Flush: 9KA2 to a Royal Flush: KA
(more)2♣ 9♦ J♣ K♦ A♦
3 to a Flush: 9JA2 to a Royal Flush: JA
(more)2♣ 9♦ J♦ Q♣ A♦
3 to a Flush: 9QA2 to a Royal Flush: QA
(more)2♣ 9♦ J♣ Q♦ A♦
Garbage: Discard everything4 to a Straight: 3467
(more)2♣ 3♣ 4♦ 6♦ 7♥
4 to a Straight: 89JQ2 to a Straight: JQ
(more)8♣ 9♣ J♦ Q♥ A♣
2 to a Straight: JA2 to a Royal Flush: TJ
(more)2♣ 9♦ 10♣ J♣ A♦
Garbage: Discard everything3 to a Flush: 237
(more)2♣ 3♣ 4♦ 6♦ 7♣
Garbage: Discard everything3 to a Flush: 247
(more)2♣ 3♦ 4♣ 6♦ 7♣
Garbage: Discard everything3 to a Flush: 267
(more)2♣ 3♦ 4♦ 6♣ 7♣
Garbage: Discard everything3 to a Flush: 238
(more)2♣ 3♣ 4♦ 6♦ 8♣
Garbage: Discard everything3 to a Flush: 248
(more)2♣ 3♦ 4♣ 6♦ 8♣
Garbage: Discard everything3 to a Flush: 348
(more)2♣ 3♦ 4♦ 6♣ 8♦
Garbage: Discard everything3 to a Flush: 2572♣ 3♦ 5♣ 6♦ 7♣
Garbage: Discard everything3 to a Flush: 2682♣ 3♦ 4♦ 6♣ 8♣
Garbage: Discard everything3 to a Flush: 3682♣ 3♦ 4♣ 6♦ 8♦
Garbage: Discard everything3 to a Flush: 2782♣ 3♦ 4♦ 7♣ 8♣
Garbage: Discard everything3 to a Flush: 3782♣ 3♦ 4♣ 7♦ 8♦
Garbage: Discard everything3 to a Flush: 2392♣ 3♣ 4♦ 6♦ 9♣
Garbage: Discard everything3 to a Flush: 2492♣ 3♦ 4♣ 6♦ 9♣
Garbage: Discard everything3 to a Flush: 3492♣ 3♦ 4♦ 6♣ 9♦
Garbage: Discard everything3 to a Flush: 2692♣ 3♦ 4♦ 6♣ 9♣
Garbage: Discard everything3 to a Flush: 3692♣ 3♦ 4♣ 6♦ 9♦
Garbage: Discard everything3 to a Flush: 4692♣ 3♣ 4♦ 6♦ 9♦