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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 Flush800486,113,3760.00002441,005.3115.570.016258
Straight Flush502,163,909,1320.0001099,211.680.260.004523
Four Aces with any 2,3,44001,217,551,5600.00006116,371.579.720.020360
Four 2's, 3's, 4's with any A,2,3,42003,382,460,8920.0001705,893.116.720.028282
Four Aces2003,424,913,8560.0001725,820.076.800.028637
Four 2's, 3's, 4's8020,998,304,0760.001053949.286.580.070229
Four 5's through K's5296,241,700,1480.004828207.1212.560.209222
Full House9195,909,802,0920.009828101.750.630.073712
Flush6227,110,156,3320.01139487.770.290.056968
Straight4230,603,161,1880.01156986.440.100.038563
Three of a Kind31,372,369,204,1640.06884814.520.280.172121
Two Pair12,438,607,358,3320.1223398.170.000.101949
Jacks or Better14,203,105,439,3560.2108594.740.000.175716
Nothing011,137,610,442,6960.5587461.790.550.000000
Totals19,933,230,517,2001.0000002.2760.060.996539

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800488,132,2200.00002440,835.7215.630.016326
Straight Flush502,159,629,8480.0001089,229.930.260.004514
Four Aces with any 2,3,44001,217,686,5240.00006116,369.769.730.020363
Four 2's, 3's, 4's with any A,2,3,42003,385,280,6760.0001705,888.216.730.028305
Four Aces2003,426,015,7440.0001725,818.206.810.028646
Four 2's, 3's, 4's8021,014,104,0800.001054948.566.580.070282
Four 5's through K's5296,186,063,5640.004825207.2412.550.209101
Full House9195,739,094,7120.009820101.840.630.073648
Flush6227,178,899,9520.01139787.740.290.056985
Straight4228,896,679,6120.01148387.080.100.038277
Three of a Kind31,373,415,929,8920.06890114.510.280.172252
Two Pair12,439,399,330,2160.1223798.170.000.101982
Jacks or Better14,205,109,189,3480.2109604.740.000.175800
Nothing011,135,614,480,8120.5586461.790.550.000000
Totals19,933,230,517,2001.0000002.2760.130.996481

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 Kicker222A; 3332; 333A; 4443; 444A
3 of a Kind + 1 Kicker4442
3 of a Kind333; 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...
3 of a Kind222; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
2 Pair
(more)2244; 22JJ; 22QQ; 22KK; 22AA; 3366; 33JJ; 33QQ; 33KK; 4488; 44JJ; 44QQ...
1 Pair + 2 Kickers
(more)332A; 443A; 6624; 665A; 7725; 7734; 776A; 8826; 8835; 887A; 9927; 9936...
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 Pair + 2 Kickers5523; 554A
1 PairAA
2 Pair
(more)2233; 2255; 2266; 2277; 2288; 2299; 22TT; 3344; 3355; 3377; 3388; 3399...
3 to a Royal FlushJQK
1 PairJJ; QQ; KK
4 to a Flush
(more)236A; 237A; 238A; 239A; 23TA; 23JA; 23JQ; 23JK; 23QA; 23QK; 23KA; 2457...
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JKA; QKA
1 Pair + 1 Kicker332; 33A; 443; 44A
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
1 Pair + 1 Kicker22A
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight FlushA23; A34; 9QK
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight FlushA45; 235; 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK
4 to a StraightJQKA
2 to a Royal FlushJA; JQ; QA; KA
3 to a Flush89A; 9TA
2 to a Royal FlushJK; QK
3 to a Flush56A; 67A; 78A
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a Straight FlushA24; A25; A35; 246; 346; 347; 356; 457; 467; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
Single Cardan Ace
3 to a Straight Flush234; 245; 568; 578; 679; 689; 78T; 79T
3 to a StraightJQK
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
2 to a StraightJQ; QK
2 to a Royal FlushTJ
2 to a StraightJK
3 to a Flush268; 279; 28T; 2TK; 358; 369; 37T; 3TK; 459; 46T; 4TK; 5TK; 6TK; 7TK; 8TK
2 to a Royal FlushTQ
3 to a Flush257
2 to a Royal FlushTK
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 256; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
2 to a Straight Flush34
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
Garbage: Discard everything2 to a Straight Flush: 34
(more)2♣ 3♦ 4♦ 6♣ 7♣
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 3♦ 10♣ J♣ K♦
1 Pair + 1 Kicker: 5541 Pair: 55
(more)5♣ 5♦ 2♣ 4♣ 10♦
1 Pair + 1 Kicker: 55A1 Pair: 55
(more)5♣ 5♦ 2♣ 10♣ A♦
2 to a Straight Flush: 23Garbage: Discard everything
(more)2♣ 3♣ 7♦ 8♦ 9♥
4 to a Straight: TJKA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ K♦ A♣
4 to a Straight: TQKA2 to a Royal Flush: QA
(more)2♣ 10♦ Q♣ K♦ A♣
4 to a Straight: TJKA2 to a Royal Flush: KA
(more)2♣ 10♦ J♦ K♣ A♣
4 to a Straight: TQKA2 to a Royal Flush: KA
(more)2♣ 10♦ Q♦ K♣ A♣
4 to a Straight: 9JQK2 to a Royal Flush: JK
(more)2♣ 9♦ J♣ Q♦ K♣
4 to a Straight: TJKA2 to a Royal Flush: JK
(more)2♣ 10♦ J♣ K♣ A♦
4 to a Straight: 9JQK2 to a Royal Flush: QK
(more)2♣ 9♦ J♦ Q♣ K♣
4 to a Straight: TQKA2 to a Royal Flush: QK
(more)2♣ 10♦ Q♣ K♣ A♦
4 to a Straight: TJQA2 to a Royal Flush: JA
(more)2♣ 10♦ J♣ Q♦ A♣
4 to a Straight: TJQA2 to a Royal Flush: QA
(more)2♣ 10♦ J♦ Q♣ A♣
3 to a Royal Flush: TJQ1 Pair: JJ
(more)J♣ J♦ 2♣ 10♦ Q♦
3 to a Royal Flush: TJQ1 Pair: QQ
(more)Q♣ Q♦ 2♣ 10♦ J♦
1 Pair + 1 Kicker: 5521 Pair: 55
(more)5♦ 5♣ 2♥ 4♣ 10♣
1 Pair + 1 Kicker: 5531 Pair: 55
(more)5♦ 5♣ 3♥ 4♣ 10♣
3 to a Straight Flush: 568Single Card: an Ace
(more)2♣ 5♦ 6♦ 8♦ A♣
3 to a Straight Flush: 578Single Card: an Ace
(more)2♣ 5♦ 7♦ 8♦ A♣
3 to a Straight Flush: 679Single Card: an Ace
(more)2♣ 6♦ 7♦ 9♦ A♣
3 to a Straight Flush: 689Single Card: an Ace
(more)2♣ 6♦ 8♦ 9♦ A♣
1 Pair: JJ3 to a Royal Flush: JQK
(more)J♣ J♦ 2♣ Q♣ K♣
1 Pair: QQ3 to a Royal Flush: JQK
(more)Q♣ Q♦ 2♣ J♣ K♣
1 Pair: KK3 to a Royal Flush: JQK
(more)K♣ K♦ 2♣ J♣ Q♣
3 to a Straight Flush: 78TSingle Card: an Ace
(more)2♣ 7♦ 8♦ 10♦ A♣
3 to a Straight Flush: 79TSingle Card: an Ace
(more)2♣ 7♦ 9♦ 10♦ A♣
Single Card: an Ace3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ A♣
Single Card: an Ace3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ A♣
Single Card: an Ace3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ A♦
Single Card: an Ace3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ A♦
Single Card: an Ace3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ A♦
3 of a Kind + 1 Kicker: 66623 of a Kind + 1 Kicker: 6663
(more)6♣ 6♦ 6♥ 2♣ 3♣
Single Card: an Ace3 to a Straight Flush: 89Q
(more)8♣ 9♣ 10♦ Q♣ A♥
Single Card: an Ace3 to a Straight Flush: 8TQ
(more)8♣ 9♦ 10♣ Q♣ A♦
3 to a Flush: 4592 to a Straight: JK4♣ 5♣ 9♣ J♦ K♥
3 to a Flush: 3692 to a Straight: JK3♣ 6♣ 9♣ J♦ K♥
3 to a Flush: 2792 to a Straight: JK2♣ 7♣ 9♣ J♦ K♥
3 to a Flush: 46T2 to a Straight: JK4♣ 6♣ 10♣ J♦ K♥
3 to a Flush: 37T2 to a Straight: JK3♣ 7♣ 10♣ J♦ K♥
3 to a Flush: 28T2 to a Straight: JK2♣ 8♣ 10♣ J♦ K♥
3 to a Flush: 4592 to a Straight: QK4♣ 5♣ 9♣ Q♦ K♥
3 to a Flush: 3692 to a Straight: QK3♣ 6♣ 9♣ Q♦ K♥
3 to a Flush: 2792 to a Straight: QK2♣ 7♣ 9♣ Q♦ K♥
3 to a Flush: 46T2 to a Straight: QK4♣ 6♣ 10♣ Q♦ K♥
3 to a Flush: 37T2 to a Straight: QK3♣ 7♣ 10♣ Q♦ K♥
3 to a Flush: 28T2 to a Straight: QK2♣ 8♣ 10♣ Q♦ K♥
Pat Hand: Full House3 of a Kind: 333
(more)3♣ 3♦ 3♥ 4♦ 4♣
3 to a Straight Flush: 234Single Card: an Ace2♣ 3♣ 4♣ 10♦ A♦
3 to a Straight Flush: 245Single Card: an Ace2♣ 4♣ 5♣ 10♦ 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♣