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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 Flush800510,775,7040.00002639,025.4116.360.017083
Straight Flush502,089,646,9520.0001059,539.040.250.004368
Four Aces with any 2,3,48001,392,404,3880.00007014,315.6944.600.046569
Four 2's, 3's, 4's with any A,2,3,44003,629,934,7800.0001825,491.3529.000.060702
Four Aces2002,936,131,7880.0001476,788.945.830.024550
Four 2's, 3's, 4's8020,796,327,0600.001043958.506.520.069553
Four 5's through K's5097,045,277,5080.004869205.4011.700.202855
Full House9192,251,602,3320.009645103.680.620.072336
Flush5208,889,647,1040.01047995.420.170.043664
Straight4258,465,765,7440.01296777.120.120.043222
Three of a Kind21,346,068,310,9520.06752914.810.070.112548
Two Pair12,441,283,330,6000.1224738.170.000.102061
Jacks or Better14,172,352,402,0960.2093164.780.000.174430
Nothing011,185,518,960,1920.5611491.780.530.000000
Totals19,933,230,517,2001.0000002.28115.770.973941

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800509,468,9040.00002639,125.5116.320.017039
Straight Flush502,085,499,0080.0001059,558.010.250.004359
Four Aces with any 2,3,48001,391,039,4480.00007014,329.7444.550.046523
Four 2's, 3's, 4's with any A,2,3,44003,622,118,1720.0001825,503.2028.930.060571
Four Aces2002,932,566,3480.0001476,797.205.830.024520
Four 2's, 3's, 4's8020,747,005,7040.001041960.786.500.069388
Four 5's through K's5096,768,402,3480.004855205.9911.670.202276
Full House9192,508,910,4000.009658103.540.620.072433
Flush5209,512,885,7880.01051195.140.170.043795
Straight4258,711,922,6800.01297977.050.120.043263
Three of a Kind21,353,663,019,3920.06791014.730.070.113183
Two Pair12,438,187,541,5960.1223188.180.000.101931
Jacks or Better14,170,504,648,5280.2092244.780.000.174353
Nothing011,182,085,488,8840.5609771.780.530.000000
Totals19,933,230,517,2001.0000002.28115.570.973635

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four 5's through K's; Four 2's, 3's, 4's with any A,2,3,4; Four Ace...
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
Pat HandFour 2's, 3's, 4's
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind + 1 Kicker2223; 2224; 222A; 3332; 3334; 333A; 4443; 444A; AAA3; AAA4
3 of a Kind + 1 Kicker4442; AAA2
3 of a Kind222; 333; 444; AAA
Pat HandStraight; Flush; Full House
3 of a Kind + 1 Kicker
(more)5552; 5553; 5554; 555A; 6662; 6663; 6664; 6665; 666A; 7772; 7773; 7774...
2 Pair
(more)2244; 22JJ; 22QQ; 22KK; 22AA; 3366; 33JJ; 33QQ; 33KK; 4488; 44JJ; 44QQ...
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
4 to a Straight Flush
(more)2345; 3456; 3567; 4567; 4568; 4578; 4678; 5678; 5679; 5689; 5789; 6789...
1 Pair + 2 Kickers
(more)332A; 443A; 5523; 554A; 6624; 665A; 7725; 7734; 776A; 8826; 8835; 887A...
4 to a Straight FlushA234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467
1 PairAA
2 Pair
(more)2233; 2255; 2266; 2277; 2288; 2299; 22TT; 3344; 3355; 3377; 3388; 3399...
3 to a Royal FlushTJQ; JQK
1 Pair + 1 Kicker332; 33A; 443; 44A
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA
1 Pair + 1 Kicker22A; 442
4 to a Flush
(more)234J; 234Q; 234K; 235J; 235Q; 235K; 236A; 236J; 236Q; 236K; 237A; 237J...
1 Pair22; 33; 44
4 to a Flush
(more)2357; 2358; 2359; 2367; 2368; 2369; 236T; 2378; 2379; 237T; 2389; 238T...
1 PairTT
1 Pair + 1 Kicker224; 55A
4 to a Flush
(more)2347; 2348; 2349; 234T; 235T; 245T; 256T; 257T; 259T; 345T; 356T; 358T...
1 Pair66; 77; 88; 99
4 to a Straight2345; 6789; 789T; 89TJ; 9TJQ; TJQK
1 Pair + 1 Kicker552; 553; 554; 662; 664; 665; 66A
1 Pair55
3 to a Straight FlushA23; 235; 89T; 89J; 8TJ; 9TJ; 9TQ; 9JQ
4 to a Straight3456; 4567; 5678; JQKA
3 to a Straight FlushA34; A45; 345; 456; 567; 678; 8JQ; 9JK; 9QK
4 to a Straight9JQK; TJQA; TJKA; TQKA
2 to a Royal FlushJQ
3 to a Straight Flush789
2 to a Royal FlushJA; JK; QA; QK; KA
3 to a Flush56A; 67A; 78A; 89A; 9TA
Single Cardan Ace
3 to a StraightJQK
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a Straight Flush
(more)234; 245; 246; 346; 347; 356; 457; 467; 568; 578; 679; 689; 78T; 78J...
3 to a StraightTJQ
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ; TQ; TK
Single Carda Jack; a Queen; a King
3 to a Flush257; 268; 279; 28T; 358; 369; 37T; 459; 46T
3 to a Straight Flush236; 256; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
2 to a Straight Flush34
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
2 to a Straight Flush23
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
1 Pair + 1 Kicker: 6651 Pair: 66
(more)6♣ 6♦ 2♣ 3♣ 5♦
1 Pair + 1 Kicker: 66A1 Pair: 66
(more)6♣ 6♦ 2♣ 3♣ A♦
1 Pair + 1 Kicker: 6641 Pair: 66
(more)6♣ 6♦ 3♣ 4♦ 5♣
1 Pair + 1 Kicker: 6621 Pair: 66
(more)6♦ 6♣ 2♥ 3♣ 5♣
1 Pair + 1 Kicker: 2241 Pair: 22
(more)2♣ 2♦ 3♣ 4♣ 5♦
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♦ 9♣ 10♦ K♦
Single Card: a FourGarbage: Discard everything
(more)4♣ 5♦ 7♦ 9♥ 10♠
2 to a Royal Flush: JQ4 to a Straight: 9JQK
(more)2♣ 9♣ J♦ Q♦ K♣
2 to a Royal Flush: JQ4 to a Straight: TJQA
(more)2♣ 10♣ J♦ Q♦ A♣
Single Card: an Ace3 to a Flush: 67A
(more)2♣ 5♣ 6♦ 7♦ A♦
Single Card: an Ace3 to a Flush: 78A
(more)2♣ 6♣ 7♦ 8♦ A♦
Single Card: an Ace3 to a Flush: 89A
(more)2♣ 6♣ 8♦ 9♦ A♦
Single Card: an Ace3 to a Flush: 56A
(more)5♣ 6♣ 7♦ 9♦ A♣
Garbage: Discard everything2 to a Straight Flush: 23
(more)2♣ 3♣ 4♦ 7♣ 8♦
2 to a Straight Flush: 24Garbage: Discard everything
(more)2♣ 4♣ 7♦ 8♦ 9♥
4 to a Straight: 89TQSingle Card: a Queen
(more)2♣ 8♣ 9♦ 10♦ Q♣
Single Card: an Ace3 to a Flush: 9TA
(more)5♣ 6♣ 9♦ 10♦ A♦
3 to a Straight Flush: 347Single Card: an Ace
(more)2♣ 3♦ 4♦ 7♦ A♣
4 to a Straight: 23462 to a Straight Flush: 34
(more)2♣ 3♦ 4♦ 6♣ 8♦
3 to a Straight Flush: 246Single Card: an Ace
(more)2♣ 4♣ 6♣ 10♦ A♦
4 to a Straight: 34572 to a Straight Flush: 34
(more)3♣ 4♣ 5♦ 7♦ 9♣
4 to a Straight: 34672 to a Straight Flush: 34
(more)3♣ 4♣ 6♦ 7♦ 9♣
3 of a Kind + 1 Kicker: 33323 of a Kind + 1 Kicker: 3334
(more)3♣ 3♦ 3♥ 2♣ 4♣
3 of a Kind + 1 Kicker: 66623 of a Kind + 1 Kicker: 6663
(more)6♣ 6♦ 6♥ 2♣ 3♣
4 to a Straight: 45782 to a Straight Flush: 34
(more)3♣ 4♣ 5♦ 7♦ 8♣
4 to a Straight: 46782 to a Straight Flush: 34
(more)3♣ 4♣ 6♦ 7♦ 8♣
3 to a Flush: 46TSingle Card: a King4♣ 6♣ 9♦ 10♣ K♦
3 to a Flush: 37TSingle Card: a King3♣ 7♣ 9♦ 10♣ K♦
3 to a Flush: 28TSingle Card: a King2♣ 8♣ 9♦ 10♣ K♦
4 to a Flush: 234T1 Pair: TT10♣ 10♦ 2♣ 3♣ 4♣
3 to a Royal Flush: JQA1 Pair + 1 Kicker: 33A3♣ 3♦ J♥ Q♥ A♥
3 to a Royal Flush: JKA1 Pair + 1 Kicker: 33A3♣ 3♦ J♥ K♥ A♥
3 to a Royal Flush: QKA1 Pair + 1 Kicker: 33A3♣ 3♦ Q♥ K♥ A♥
3 to a Royal Flush: JQA1 Pair + 1 Kicker: 44A4♣ 4♦ J♥ Q♥ A♥
3 to a Royal Flush: JKA1 Pair + 1 Kicker: 44A4♣ 4♦ J♥ K♥ A♥
3 to a Royal Flush: QKA1 Pair + 1 Kicker: 44A4♣ 4♦ Q♥ K♥ A♥
3 of a Kind + 1 Kicker: 222A3 of a Kind + 1 Kicker: 22232♣ 2♦ 2♥ 3♠ A♣
3 of a Kind + 1 Kicker: 222A3 of a Kind + 1 Kicker: 22242♣ 2♦ 2♥ 4♠ A♣
3 of a Kind + 1 Kicker: 333A3 of a Kind + 1 Kicker: 33343♣ 3♦ 3♥ 4♠ A♣
3 of a Kind + 1 Kicker: 66643 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ 4♣
3 of a Kind + 1 Kicker: 66653 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ 5♣
3 of a Kind + 1 Kicker: 666A3 of a Kind + 1 Kicker: 66636♦ 6♥ 6♣ 3♠ A♣