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Wizard of Odds Approved

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Calculadora de estratégia de vídeo pôquer

Introdução

The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):

Perfect Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800411,688,6200.00002148,418.2213.190.016523
Straight Flush502,234,327,1240.0001128,921.360.270.005605
Four of a Kind10046,558,199,6040.002336428.1422.900.233571
Full House9225,990,915,8760.01133788.200.730.102037
Flush7316,523,351,2560.01587962.980.570.111154
Straight4241,261,729,7760.01210382.620.110.048414
Three of a Kind21,450,312,775,1480.07275913.740.080.145517
Two Pair12,511,183,177,1800.1259807.940.000.125980
Jacks or Better13,888,015,576,9120.1950525.130.000.195052
Nothing011,250,738,775,7040.5644211.770.550.000000
Totals19,933,230,517,2001.0000002.3038.390.983852

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800410,078,1840.00002148,608.3713.130.016458
Straight Flush502,237,324,5680.0001128,909.400.270.005612
Four of a Kind10046,546,871,3400.002335428.2422.890.233514
Full House9225,983,699,1000.01133788.210.730.102033
Flush7315,620,161,3680.01583463.160.570.110837
Straight4241,555,581,4560.01211882.520.110.048473
Three of a Kind21,450,063,126,0920.07274613.750.080.145492
Two Pair12,511,181,895,4360.1259807.940.000.125980
Jacks or Better13,895,488,481,8960.1954275.120.000.195427
Nothing011,244,143,297,7600.5640901.770.550.000000
Totals19,933,230,517,2001.0000002.2938.330.983826

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
Pat HandFull House; Straight Flush; Royal Flush
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
4 to a Flush
(more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 2367; 2368; 2369; 236T...
3 to a Royal FlushTJQ; JQK
1 PairJJ; QQ; KK; AA
4 to a Flush
(more)234J; 234Q; 234K; 235J; 235Q; 235K; 236A; 236J; 236Q; 236K; 237A; 237J...
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; 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; 7TJ; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK
4 to a StraightJQKA
2 to a Royal FlushJQ
3 to a Flush
(more)2JA; 2JQ; 2JK; 2QA; 2QK; 2KA; 3JA; 3JQ; 3JK; 3QA; 3QK; 3KA; 4JA; 4JQ...
2 to a Royal FlushJA; JK; QA; QK; KA
4 to a StraightTJQA; TJKA
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568...
4 to a Straight8TJQ; 9JQK; TQKA
3 to a Straight Flush68T; 89Q; 9TK
3 to a StraightJQK
4 to a Straight89JQ; 9TJK; 9TQK
3 to a Flush
(more)26A; 27A; 28A; 28K; 29A; 29J; 29Q; 29K; 2TA; 2TJ; 2TQ; 2TK; 36A; 37A...
2 to a StraightJQ
3 to a Flush
(more)23J; 24J; 25J; 26J; 27J; 27Q; 28J; 28Q; 34J; 35J; 36J; 37J; 37Q; 38J...
2 to a Royal FlushTJ
3 to a Flush
(more)23Q; 23K; 24Q; 24K; 25Q; 25K; 26Q; 26K; 27K; 34Q; 34K; 35Q; 35K; 36Q...
2 to a Royal FlushTQ
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 69T
2 to a StraightJK; QK
2 to a StraightJA; QA
2 to a Royal FlushTK
Single Carda Jack; a Queen
2 to a StraightKA
2 to a Royal FlushTA
Single Carda King; an Ace
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)
Single Card: a Jack2 to a Straight: JA
(more)2♣ 3♣ 4♦ J♥ A♦
2 to a Royal Flush: TJ2 to a Straight: JQ
(more)2♣ 3♣ 10♦ J♦ Q♣
3 to a Flush: 2JQ2 to a Royal Flush: JQ
(more)2♣ 8♦ 9♦ J♣ Q♣
3 to a Flush: 3JQ2 to a Royal Flush: JQ
(more)3♣ 8♦ 9♦ J♣ Q♣
3 to a Flush: 4JQ2 to a Royal Flush: JQ
(more)4♣ 8♦ 9♦ J♣ Q♣
3 to a Flush: 5JQ2 to a Royal Flush: JQ
(more)5♣ 8♦ 9♦ J♣ Q♣
3 to a Flush: 6JQ2 to a Royal Flush: JQ
(more)6♣ 8♦ 9♦ J♣ Q♣
3 to a Flush: 7JQ2 to a Royal Flush: JQ
(more)7♣ 8♦ 9♦ J♣ Q♣
3 to a Flush: 23J2 to a Straight: JQ
(more)2♣ 3♣ 9♦ J♣ Q♦
3 to a Flush: 24J2 to a Straight: JQ
(more)2♣ 4♣ 9♦ J♣ Q♦
3 to a Flush: 34J2 to a Straight: JQ
(more)3♣ 4♣ 9♦ J♣ Q♦
3 to a Flush: 25J2 to a Straight: JQ
(more)2♣ 5♣ 9♦ J♣ Q♦
3 to a Flush: 35J2 to a Straight: JQ
(more)3♣ 5♣ 9♦ J♣ Q♦
3 to a Flush: 45J2 to a Straight: JQ
(more)4♣ 5♣ 9♦ J♣ Q♦
3 to a Flush: 26J2 to a Straight: JQ
(more)2♣ 6♣ 9♦ J♣ Q♦
3 to a Flush: 36J2 to a Straight: JQ
(more)3♣ 6♣ 9♦ J♣ Q♦
3 to a Flush: 46J2 to a Straight: JQ
(more)4♣ 6♣ 9♦ J♣ Q♦
3 to a Flush: 56J2 to a Straight: JQ
(more)5♣ 6♣ 9♦ J♣ Q♦
3 to a Flush: 27J2 to a Straight: JQ
(more)2♣ 7♣ 9♦ J♣ Q♦
3 to a Flush: 37J2 to a Straight: JQ
(more)3♣ 7♣ 9♦ J♣ Q♦
3 to a Flush: 47J2 to a Straight: JQ
(more)4♣ 7♣ 9♦ J♣ Q♦
3 to a Flush: 57J2 to a Straight: JQ
(more)5♣ 7♣ 9♦ J♣ Q♦
3 to a Flush: 67J2 to a Straight: JQ
(more)6♣ 7♣ 9♦ J♣ Q♦
3 to a Flush: 27Q2 to a Straight: JQ
(more)2♣ 7♣ 9♦ J♦ Q♣
3 to a Flush: 37Q2 to a Straight: JQ
(more)3♣ 7♣ 9♦ J♦ Q♣
3 to a Flush: 47Q2 to a Straight: JQ
(more)4♣ 7♣ 9♦ J♦ Q♣
3 to a Flush: 57Q2 to a Straight: JQ
(more)5♣ 7♣ 9♦ J♦ Q♣
3 to a Flush: 67Q2 to a Straight: JQ
(more)6♣ 7♣ 9♦ J♦ Q♣
3 to a Flush: 23Q2 to a Straight: JQ
(more)2♣ 3♣ 9♦ J♦ Q♣
3 to a Flush: 24Q2 to a Straight: JQ
(more)2♣ 4♣ 9♦ J♦ Q♣
3 to a Flush: 34Q2 to a Straight: JQ
(more)3♣ 4♣ 9♦ J♦ Q♣
3 to a Flush: 25Q2 to a Straight: JQ
(more)2♣ 5♣ 9♦ J♦ Q♣
3 to a Flush: 35Q2 to a Straight: JQ
(more)3♣ 5♣ 9♦ J♦ Q♣
3 to a Flush: 45Q2 to a Straight: JQ
(more)4♣ 5♣ 9♦ J♦ Q♣
3 to a Flush: 26Q2 to a Straight: JQ
(more)2♣ 6♣ 9♦ J♦ Q♣
3 to a Flush: 36Q2 to a Straight: JQ
(more)3♣ 6♣ 9♦ J♦ Q♣
3 to a Flush: 46Q2 to a Straight: JQ
(more)4♣ 6♣ 9♦ J♦ Q♣
3 to a Flush: 56Q2 to a Straight: JQ
(more)5♣ 6♣ 9♦ J♦ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 2TJQ
(more)2♣ 2♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 3TJQ
(more)3♣ 3♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 4TJQ
(more)4♣ 4♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 5TJQ
(more)5♣ 5♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 6TJQ
(more)6♣ 6♦ 10♣ J♣ Q♣
3 to a Royal Flush: TJQ4 to a Flush: 7TJQ
(more)7♣ 7♦ 10♣ J♣ Q♣
Single Card: a Jack3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ J♦
Single Card: a Jack3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ J♦
Single Card: a Jack3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ J♦
Single Card: a Jack3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ J♦
Single Card: a Jack3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ J♦
Single Card: a Jack3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ J♦
1 Pair: JJ3 to a Royal Flush: TJQ
(more)J♣ J♦ 9♣ 10♦ Q♦
1 Pair: QQ3 to a Royal Flush: TJQ
(more)Q♣ Q♦ 9♣ 10♦ J♦
Single Card: a Queen3 to a Straight Flush: 236
(more)2♣ 3♣ 4♦ 6♣ Q♥
Single Card: a Queen3 to a Straight Flush: 246
(more)2♣ 3♦ 4♣ 6♣ Q♥
Single Card: a Queen3 to a Straight Flush: 256
(more)2♣ 3♦ 5♣ 6♣ Q♥
Single Card: a Queen3 to a Straight Flush: 347
(more)3♣ 4♣ 5♦ 7♣ Q♥
Single Card: a Queen3 to a Straight Flush: 357
(more)3♣ 4♦ 5♣ 7♣ Q♥
Single Card: a Queen3 to a Straight Flush: 367
(more)3♣ 4♦ 6♣ 7♣ Q♥
Single Card: a Jack3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ J♥
Single Card: a Queen3 to a Straight Flush: 458
(more)4♣ 5♣ 6♦ 8♣ Q♥
Single Card: a Jack3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ J♥
Single Card: a Queen3 to a Straight Flush: 468
(more)4♣ 5♦ 6♣ 8♣ Q♥
Single Card: a Jack3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ J♥
Single Card: a Queen3 to a Straight Flush: 478
(more)4♣ 5♦ 7♣ 8♣ Q♥
Single Card: a Jack3 to a Straight Flush: 569
(more)5♣ 6♣ 7♦ 9♣ J♥
Single Card: a Jack3 to a Straight Flush: 579
(more)5♣ 6♦ 7♣ 9♣ J♥
Single Card: a Jack3 to a Straight Flush: 589
(more)5♣ 6♦ 8♣ 9♣ J♥
3 to a Flush: 28J2 to a Straight: JQ2♣ 8♣ J♣ Q♦ A♥
3 to a Flush: 38J2 to a Straight: JQ3♣ 8♣ J♣ Q♦ A♥
3 to a Flush: 48J2 to a Straight: JQ4♣ 8♣ J♣ Q♦ A♥
3 to a Flush: 58J2 to a Straight: JQ5♣ 8♣ J♣ Q♦ A♥
3 to a Flush: 68J2 to a Straight: JQ6♣ 8♣ J♣ Q♦ A♥
3 to a Flush: 28Q2 to a Straight: JQ2♣ 8♣ J♦ Q♣ A♥
3 to a Flush: 38Q2 to a Straight: JQ3♣ 8♣ J♦ Q♣ A♥
3 to a Flush: 48Q2 to a Straight: JQ4♣ 8♣ J♦ Q♣ A♥
3 to a Flush: 58Q2 to a Straight: JQ5♣ 8♣ J♦ Q♣ A♥
3 to a Flush: 68Q2 to a Straight: JQ6♣ 8♣ J♦ Q♣ A♥
3 to a Flush: 78Q2 to a Straight: JQ7♣ 8♣ J♦ Q♣ A♥
Single Card: a Jack3 to a Straight Flush: 67T6♣ 7♣ 8♦ 10♣ J♥
Single Card: a Jack3 to a Straight Flush: 68T6♣ 7♦ 8♣ 10♣ J♥
3 to a Straight Flush: 5692 to a Royal Flush: TQ5♣ 6♣ 9♣ 10♦ Q♦
3 to a Straight Flush: 5792 to a Royal Flush: TQ5♣ 7♣ 9♣ 10♦ Q♦
3 to a Straight Flush: 5892 to a Royal Flush: TQ5♣ 8♣ 9♣ 10♦ Q♦
3 to a Straight Flush: 78J2 to a Royal Flush: QA7♣ 8♣ J♣ Q♦ A♦
3 to a Straight Flush: 79J2 to a Royal Flush: QA7♣ 9♣ J♣ Q♦ A♦
3 to a Straight Flush: 78J2 to a Royal Flush: KA7♣ 8♣ J♣ K♦ A♦
3 to a Straight Flush: 79J2 to a Royal Flush: KA7♣ 9♣ J♣ K♦ A♦
3 to a Straight Flush: 89Q2 to a Royal Flush: KA8♣ 9♣ Q♣ K♦ A♦
3 to a Straight Flush: 8TQ2 to a Royal Flush: KA8♣ 10♣ Q♣ K♦ A♦
2 to a Royal Flush: TJ3 to a Flush: 26A2♣ 6♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 36A3♣ 6♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 46A4♣ 6♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 56A5♣ 6♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 27A2♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 37A3♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 47A4♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 57A5♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 67A6♣ 7♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 28A2♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 38A3♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 48A4♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 58A5♣ 8♣ 10♦ J♦ A♣
2 to a Royal Flush: TJ3 to a Flush: 68A6♣ 8♣ 10♦ J♦ A♣
1 Pair: JJ4 to a Flush: 2TJQJ♣ J♦ 2♣ 10♣ Q♣
1 Pair: QQ4 to a Flush: 2TJQQ♣ Q♦ 2♣ 10♣ J♣
1 Pair: JJ4 to a Flush: 3TJQJ♣ J♦ 3♣ 10♣ Q♣
1 Pair: QQ4 to a Flush: 3TJQQ♣ Q♦ 3♣ 10♣ J♣
1 Pair: JJ4 to a Flush: 4TJQJ♣ J♦ 4♣ 10♣ Q♣
1 Pair: QQ4 to a Flush: 4TJQQ♣ Q♦ 4♣ 10♣ J♣
1 Pair: JJ4 to a Flush: 5TJQJ♣ J♦ 5♣ 10♣ Q♣
1 Pair: QQ4 to a Flush: 5TJQQ♣ Q♦ 5♣ 10♣ J♣
1 Pair: JJ4 to a Flush: 6TJQJ♣ J♦ 6♣ 10♣ Q♣
1 Pair: QQ4 to a Flush: 6TJQQ♣ Q♦ 6♣ 10♣ J♣
1 Pair: JJ4 to a Flush: 7TJQJ♣ J♦ 7♣ 10♣ Q♣
1 Pair: QQ4 to a Flush: 7TJQQ♣ Q♦ 7♣ 10♣ J♣