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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 Flush400.982396,133,2840.00002050,319.503.180.007969
Straight Flush25.9822,113,742,5680.0001069,430.300.070.002755
Four Aces40.9823,796,809,0120.0001905,250.000.300.007806
Four 2's, 3's, 4's20.98210,441,351,8480.0005241,909.070.210.010991
Four 5's through K's13.23632,236,422,4920.001617618.340.240.021406
Full House5.945226,093,330,0080.01134388.160.280.067431
Flush5.2266,030,154,2280.01334674.930.240.069400
Straight3.963299,511,616,3080.01502666.550.130.059547
Three of a Kind2.4821,445,350,065,6840.07251013.790.160.179969
Two Pair1.73632,501,813,721,4200.1255107.970.070.217922
Jacks or Better0.99084,017,173,508,0000.2015314.960.000.199677
Nothing0.245411,128,273,662,3480.5582771.790.300.137001
Totals19,933,230,517,2001.0000001.005.190.981874

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush400.982397,130,7120.00002050,193.123.190.007989
Straight Flush25.9822,111,205,9120.0001069,441.630.070.002752
Four Aces40.9823,797,789,4120.0001915,248.640.300.007808
Four 2's, 3's, 4's20.98210,441,551,5400.0005241,909.030.210.010991
Four 5's through K's13.23632,246,105,2320.001618618.160.240.021412
Full House5.945226,170,940,5360.01134688.130.280.067455
Flush5.2263,684,391,3960.01322875.600.240.068788
Straight3.963299,261,605,5360.01501366.610.130.059497
Three of a Kind2.4821,446,037,856,5320.07254413.780.160.180054
Two Pair1.73632,503,160,147,0520.1255777.960.070.218040
Jacks or Better0.99084,027,498,599,8880.2020494.950.000.200191
Nothing0.245411,118,423,193,4520.5577831.790.300.136880
Totals19,933,230,517,2001.0000001.005.200.981856

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Four 2's, 3's, 4's; Straight Flush; Royal Flush
4 of a Kind5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK; AAAA
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 Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 9TJ; 9TQ; 9JQ
4 to a StraightJQKA
3 to a Straight Flush8JQ; 9JK; 9QK
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Flush
(more)2JA; 2QA; 2KA; 3JA; 3QA; 3KA; 4JA; 4QA; 4KA; 5JA; 5QA; 5KA; 6JA; 6QA...
2 to a Royal FlushJA; JQ; JK; QA; QK; KA
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
3 to a StraightTJQ; JQK
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ
4 to a StraightA234; A235; A245; A345; 789J; 78TJ; 79TJ; 89TQ
2 to a StraightJA; QA; KA
3 to a Flush
(more)23Q; 23K; 24Q; 24K; 25Q; 25K; 26A; 26Q; 26K; 27A; 27Q; 27K; 28A; 28Q...
Single Carda Jack
2 to a Royal FlushTQ; TK
Single Carda Queen; a King; an Ace
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
3 to a Flush
(more)237; 238; 239; 23T; 247; 248; 249; 24T; 257; 258; 259; 25T; 267; 268...
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Royal Flush: TQ2 to a Straight: QA
(more)2♣ 3♣ 10♦ Q♦ A♥
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
3 to a Flush: 2JK2 to a Royal Flush: JK
(more)2♣ 3♦ 10♦ J♣ K♣
3 to a Flush: 3JK2 to a Royal Flush: JK
(more)2♣ 3♦ 10♣ J♦ K♦
3 to a Flush: 4JK2 to a Royal Flush: JK
(more)2♣ 4♦ 10♣ J♦ K♦
3 to a Flush: 5JK2 to a Royal Flush: JK
(more)2♣ 5♦ 10♣ J♦ K♦
3 to a Flush: 6JK2 to a Royal Flush: JK
(more)2♣ 6♦ 10♣ J♦ K♦
3 to a Flush: 7JK2 to a Royal Flush: JK
(more)2♣ 7♦ 10♣ J♦ K♦
3 to a Flush: 2QK2 to a Royal Flush: QK
(more)2♣ 3♦ 10♦ Q♣ K♣
3 to a Flush: 3QK2 to a Royal Flush: QK
(more)2♣ 3♦ 10♣ Q♦ K♦
3 to a Flush: 4QK2 to a Royal Flush: QK
(more)2♣ 4♦ 10♣ Q♦ K♦
3 to a Flush: 5QK2 to a Royal Flush: QK
(more)2♣ 5♦ 10♣ Q♦ K♦
3 to a Flush: 6QK2 to a Royal Flush: QK
(more)2♣ 6♦ 10♣ Q♦ K♦
3 to a Flush: 7QK2 to a Royal Flush: QK
(more)2♣ 7♦ 10♣ Q♦ K♦
3 to a Flush: 8QK2 to a Royal Flush: QK
(more)2♣ 8♦ 10♣ Q♦ K♦
3 to a Flush: 8JK2 to a Royal Flush: JK
(more)2♣ 8♦ 10♣ J♦ K♦
2 to a Straight: JA2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ A♦
2 to a Royal Flush: TQ3 to a Flush: 2TQ
(more)2♣ 3♦ 4♦ 10♣ Q♣
2 to a Royal Flush: TQ3 to a Flush: 3TQ
(more)2♣ 3♦ 4♣ 10♦ Q♦
2 to a Royal Flush: TQ3 to a Flush: 4TQ
(more)2♣ 3♣ 4♦ 10♦ Q♦
2 to a Royal Flush: TQ3 to a Flush: 5TQ
(more)2♣ 3♣ 5♦ 10♦ Q♦
2 to a Royal Flush: TQ3 to a Flush: 6TQ
(more)2♣ 3♣ 6♦ 10♦ Q♦
2 to a Royal Flush: TQ3 to a Flush: 7TQ
(more)2♣ 3♣ 7♦ 10♦ Q♦
3 to a Flush: 28JSingle Card: a Jack
(more)2♣ 3♦ 8♣ 9♦ J♣
3 to a Flush: 38JSingle Card: a Jack
(more)2♣ 3♦ 8♦ 9♣ J♦
3 to a Flush: 48JSingle Card: a Jack
(more)2♣ 4♦ 8♦ 9♣ J♦
3 to a Flush: 58JSingle Card: a Jack
(more)2♣ 5♦ 8♦ 9♣ J♦
3 to a Flush: 68JSingle Card: a Jack
(more)2♣ 6♦ 8♦ 9♣ J♦
4 to a Straight: 79TJ2 to a Royal Flush: TJ
(more)2♣ 7♦ 9♦ 10♣ J♣
3 to a Flush: 23JSingle Card: a Jack
(more)2♣ 3♣ 8♦ 9♦ J♣
3 to a Flush: 24JSingle Card: a Jack
(more)2♣ 4♣ 8♦ 9♦ J♣
3 to a Flush: 34JSingle Card: a Jack
(more)3♣ 4♣ 8♦ 9♦ J♣
Single Card: a Jack3 to a Flush: 59J
(more)2♣ 3♣ 5♦ 9♦ J♦
Single Card: a Jack3 to a Flush: 69J
(more)2♣ 3♣ 6♦ 9♦ J♦
3 to a Flush: 25JSingle Card: a Jack
(more)2♣ 5♣ 8♦ 9♦ J♣
3 to a Flush: 35JSingle Card: a Jack
(more)3♣ 5♣ 8♦ 9♦ J♣
3 to a Flush: 45JSingle Card: a Jack
(more)4♣ 5♣ 8♦ 9♦ J♣
3 to a Flush: 26JSingle Card: a Jack
(more)2♣ 6♣ 8♦ 9♦ J♣
3 to a Flush: 36JSingle Card: a Jack
(more)3♣ 6♣ 8♦ 9♦ J♣
3 to a Flush: 46JSingle Card: a Jack
(more)4♣ 6♣ 8♦ 9♦ J♣
Single Card: a Jack3 to a Flush: 29J
(more)2♣ 3♦ 4♦ 9♣ J♣
Single Card: a Jack3 to a Flush: 39J
(more)2♣ 3♦ 4♣ 9♦ J♦
Single Card: a Jack3 to a Flush: 49J
(more)2♣ 3♣ 4♦ 9♦ J♦
4 to a Straight: 78TJ2 to a Royal Flush: TJ
(more)2♣ 7♦ 8♦ 10♣ J♣
3 to a Flush: 56JSingle Card: a Jack
(more)5♣ 6♣ 8♦ 9♦ J♣
3 to a Flush: 27JSingle Card: a Jack
(more)2♣ 3♦ 7♣ 10♦ J♣
3 to a Flush: 37JSingle Card: a Jack
(more)2♣ 3♦ 7♦ 10♣ J♦
3 to a Flush: 47JSingle Card: a Jack
(more)2♣ 4♦ 7♦ 10♣ J♦
3 to a Flush: 57JSingle Card: a Jack
(more)2♣ 5♦ 7♦ 10♣ J♦
3 to a Flush: 67JSingle Card: a Jack
(more)2♣ 6♦ 7♦ 10♣ J♦
3 to a Straight Flush: 69TSingle Card: a King
(more)2♣ 6♦ 9♦ 10♦ K♣
3 to a Straight Flush: 6894 to a Straight: 89JQ6♣ 8♣ 9♣ J♦ Q♥
3 to a Straight Flush: 79T4 to a Straight: 9TQK7♣ 9♣ 10♣ Q♦ K♥