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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 Flush800494,979,4560.00002540,270.8215.850.019865
Straight Flush1202,368,008,3360.0001198,417.721.680.014256
Four Aces with any 2,3,48001,212,560,2440.00006116,438.9638.820.048665
Four Aces with any J,Q,K6401,272,755,8200.00006415,661.4726.060.040865
Four 2's, 3's, 4's with any A,2,3,43202,967,018,4200.0001496,718.2715.130.047631
Four J's, Q's, K's with any J,Q,K,A3204,227,860,5200.0002124,714.7321.560.067872
Four Aces3202,237,461,6560.0001128,908.8611.410.035919
Four 2's, 3's, 4's1607,997,745,7680.0004012,492.3610.120.064196
Four 5's through K's8028,692,804,8040.001439694.718.940.115156
Full House7178,290,907,3440.008944111.800.300.062611
Flush5208,779,648,1680.01047495.470.150.052370
Straight4216,116,057,0400.01084292.230.090.043368
Three of a Kind31,572,194,393,1240.07887312.680.260.236619
Two Pair12,210,927,623,4520.1109179.020.000.110917
Jacks or Better14,551,799,986,2160.2283524.380.010.228352
Nothing010,943,650,706,8320.5490151.820.780.000000
Totals19,933,230,517,2001.0000002.22151.141.188662

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800493,403,9040.00002540,399.4215.790.019802
Straight Flush1202,375,287,3440.0001198,391.921.680.014299
Four Aces with any 2,3,48001,211,714,7480.00006116,450.4338.790.048631
Four Aces with any J,Q,K6401,271,846,2440.00006415,672.6726.040.040835
Four 2's, 3's, 4's with any A,2,3,43202,966,959,5960.0001496,718.4015.130.047630
Four J's, Q's, K's with any J,Q,K,A3204,229,708,7120.0002124,712.6721.570.067902
Four Aces3202,235,552,0960.0001128,916.4711.400.035889
Four 2's, 3's, 4's1607,997,965,5840.0004012,492.2910.120.064198
Four 5's through K's8028,700,110,4520.001440694.538.940.115185
Full House7178,304,192,4240.008945111.790.300.062616
Flush5209,133,702,7920.01049295.310.150.052459
Straight4215,472,742,4160.01081092.510.090.043239
Three of a Kind31,572,416,515,5000.07888412.680.260.236653
Two Pair12,211,221,077,3800.1109319.010.000.110931
Jacks or Better14,552,323,304,1760.2283794.380.010.228379
Nothing010,942,876,433,8320.5489771.820.780.000000
Totals19,933,230,517,2001.0000002.22151.051.188648

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four J's, Q's, K's with any J,Q,K,A; Four 2's, 3's, 4's with an...
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
3 of a Kind + 1 KickerJJJQ; JJJK; JJJA; QQQJ; QQQK; QQQA; KKKJ; KKKQ; KKKA
3 of a Kind222; 333; 444; JJJ; QQQ; KKK; AAA
Pat HandFull House
3 of a Kind555; 666; 777; 888; 999; TTT
4 to a Straight Flush2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
Pat HandStraight; Flush
4 to a Straight Flush
(more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578...
1 PairAA
1 PairJJ; QQ; KK
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 3344; 3355; 3366; 3377...
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
1 Pair22; 33; 44
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
3 to a Straight Flush9TJ
4 to a Straight9TJQ; TJQK
1 Pair88; 99; TT
3 to a Straight Flush9JQ
1 Pair55; 66; 77
4 to a Straight89TJ
3 to a Straight Flush345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; JQKA
2 to a Royal FlushJA; JQ
3 to a Straight Flush346; 356; 457; 467; 568; 578; 679; 689; 78T; 79T
2 to a Royal FlushQA; KA
3 to a Straight Flush234; 235; 245
2 to a Royal FlushJK; QK
3 to a Straight FlushA23; A24; A25; A34; A35; A45
4 to a StraightTJQA; TJKA; TQKA
Single Cardan Ace
3 to a Straight Flush78J; 79J; 7TJ; 8TQ; 9TK
4 to a Straight9JQK
3 to a Straight Flush89Q
3 to a StraightJQK
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
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: TQSingle Card: a Queen
(more)2♣ 3♣ 4♦ 10♥ Q♥
4 to a Straight: 2346Garbage: Discard everything
(more)2♣ 3♣ 4♦ 6♥ 9♠
Single Card: an Ace3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ 6♣ A♦
3 to a Straight Flush: 9JQ1 Pair: 99
(more)9♣ 9♦ 2♣ J♦ Q♦
3 to a Straight Flush: 78JSingle Card: an Ace
(more)2♣ 7♦ 8♦ J♦ A♣
3 to a Straight Flush: 79JSingle Card: an Ace
(more)2♣ 7♦ 9♦ J♦ A♣
3 to a Straight Flush: 89QSingle Card: an Ace
(more)2♣ 8♦ 9♦ Q♦ A♣
3 to a Straight Flush: 9TKSingle Card: an Ace
(more)2♣ 9♦ 10♦ K♦ A♣
3 to a Straight Flush: 8TQSingle Card: an Ace
(more)2♣ 8♦ 10♦ Q♦ A♣
3 to a Straight Flush: 7TJSingle Card: an Ace
(more)2♣ 7♦ 10♦ J♦ A♣
Single Card: a Jack2 to a Royal Flush: TJ
(more)5♣ 7♦ 9♦ 10♣ J♣
3 to a Straight Flush: 7TJ4 to a Straight: TJQA7♣ 10♣ J♣ Q♦ A♥
3 to a Straight Flush: 7TJ4 to a Straight: TJKA7♣ 10♣ J♣ K♦ A♥
3 to a Straight Flush: 8TQ4 to a Straight: TQKA8♣ 10♣ Q♣ K♦ A♥
3 to a Straight Flush: 3462 to a Royal Flush: JA3♣ 4♣ 6♣ J♦ A♦
3 to a Straight Flush: 3562 to a Royal Flush: JA3♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 4572 to a Royal Flush: JA4♣ 5♣ 7♣ J♦ A♦
3 to a Straight Flush: 4672 to a Royal Flush: JA4♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 5682 to a Royal Flush: JA5♣ 6♣ 8♣ J♦ A♦
3 to a Straight Flush: 5782 to a Royal Flush: JA5♣ 7♣ 8♣ J♦ A♦
3 to a Straight Flush: 6792 to a Royal Flush: JA6♣ 7♣ 9♣ J♦ A♦
3 to a Straight Flush: 6892 to a Royal Flush: JA6♣ 8♣ 9♣ J♦ A♦