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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 Flush406440,195,9040.00002245,282.643.570.008966
Straight Flush561,440,187,4280.00007213,840.720.200.004046
Four Aces with any 2,3,44061,172,018,8800.00005917,007.609.510.023872
Four 2's, 3's, 4's with any A,2,3,44063,155,955,7440.0001586,316.0725.620.064281
Four Aces1663,435,999,4080.0001725,801.294.540.028614
Four 2's, 3's, 4's865,588,770,5600.0002803,566.661.900.024112
Four 5's through K's5625,738,468,5480.001291774.453.530.072309
Full House15184,188,996,7560.009240108.221.180.138604
Flush11176,912,216,6280.008875112.670.470.097628
Straight10176,916,134,6520.008875112.670.350.088754
Three of a Kind81,231,606,545,7200.06178716.181.130.494293
Two Pair72,148,955,713,0720.1078089.281.160.754654
Jacks or Better75,475,531,583,5840.2746943.642.951.922855
Nothing010,498,147,730,3160.5266661.907.300.000000
Totals19,933,230,517,2001.0000002.1163.413.722988

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush406448,621,0800.00002344,432.223.640.009138
Straight Flush561,442,684,5680.00007213,816.760.200.004053
Four Aces with any 2,3,44061,171,988,6400.00005917,008.049.510.023871
Four 2's, 3's, 4's with any A,2,3,44063,155,880,8640.0001586,316.2225.620.064279
Four Aces1663,435,291,7680.0001725,802.494.540.028608
Four 2's, 3's, 4's865,588,566,8000.0002803,566.791.900.024111
Four 5's through K's5625,736,306,5080.001291774.523.530.072303
Full House15184,162,955,7960.009239108.241.170.138585
Flush11176,779,377,7920.008869112.760.470.097554
Straight10177,970,832,8800.008928112.000.350.089283
Three of a Kind81,231,355,257,3200.06177416.191.130.494192
Two Pair72,148,411,632,8320.1077809.281.160.754463
Jacks or Better75,474,580,454,5480.2746463.642.951.922521
Nothing010,498,990,665,8040.5267081.907.300.000000
Totals19,933,230,517,2001.0000002.1163.473.722962

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four 2's, 3's, 4's with any A,2,3,4; Four Aces with any 2,3,4; Straigh...
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
3 of a Kind + 1 Kicker2223; 2224; 222A; 3332; 3334; 333A; 4442; 4443; 444A
3 of a Kind222; 333; 444; AAA
Pat HandFull House
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
Pat HandStraight; Flush
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
1 PairJJ; QQ; KK
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
3 to a Royal FlushJQK
4 to a StraightTJQK
3 to a Royal FlushTJQ
4 to a Flush
(more)23JA; 23JQ; 23JK; 23QA; 23QK; 23KA; 24JA; 24JQ; 24JK; 24QA; 24QK; 24KA...
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA
2 to a Royal FlushJQ
3 to a StraightJQK
2 to a Royal FlushJK; KA
2 to a Royal FlushJA; QA; QK
2 to a StraightJQ; JK; QK
2 to a StraightJA; QA; KA
1 Pair22; 33; 44
4 to a Flush
(more)234J; 234Q; 234K; 235J; 235Q; 235K; 236A; 236J; 236Q; 236K; 237A; 237J...
Single Carda Jack; a Queen; a King; an Ace
1 Pair55; 66; 77; 88; 99; TT
4 to a Flush
(more)2347; 2348; 2349; 234T; 2357; 2358; 2359; 235T; 2367; 2368; 2369; 236T...
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T
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: JK3 to a Straight: JQK
(more)9♣ 9♦ J♣ Q♦ K♣
2 to a Royal Flush: QK3 to a Straight: JQK
(more)9♣ 9♦ J♣ Q♦ K♦
3 to a Straight: JQK2 to a Royal Flush: JQ
(more)8♣ 8♦ J♣ Q♣ K♦
2 to a Royal Flush: JA3 to a Royal Flush: TJA
(more)10♣ 10♦ 2♣ J♦ A♦
2 to a Royal Flush: QA3 to a Royal Flush: TQA
(more)10♣ 10♦ 2♣ Q♦ A♦
2 to a Royal Flush: KA3 to a Royal Flush: TKA
(more)10♣ 10♦ 2♣ K♦ A♦
Garbage: Discard everything4 to a Straight: 5678
(more)2♣ 5♣ 6♣ 7♦ 8♦
3 to a Straight: JKA2 to a Straight: JK
(more)9♣ 9♦ J♣ K♦ A♥
3 to a Straight: QKA2 to a Straight: QK
(more)9♣ 9♦ Q♣ K♦ A♥
Garbage: Discard everything4 to a Straight: 789T
(more)5♣ 7♣ 8♣ 9♦ 10♦
2 to a Royal Flush: JA3 to a Straight: JQK
(more)9♣ J♦ Q♣ K♣ A♦
2 to a Royal Flush: QA3 to a Straight: JQK
(more)9♣ J♣ Q♦ K♣ A♦
2 to a Royal Flush: KA3 to a Straight: JQK
(more)9♣ J♣ Q♦ K♥ A♥
4 to a Flush: 2TJQ3 to a Royal Flush: TJQ
(more)2♣ 8♦ 10♣ J♣ Q♣
4 to a Flush: 3TJQ3 to a Royal Flush: TJQ
(more)3♣ 8♦ 10♣ J♣ Q♣
4 to a Flush: 4TJQ3 to a Royal Flush: TJQ
(more)4♣ 8♦ 10♣ J♣ Q♣
4 to a Flush: 5TJQ3 to a Royal Flush: TJQ
(more)5♣ 8♦ 10♣ J♣ Q♣
4 to a Flush: 6TJQ3 to a Royal Flush: TJQ
(more)6♣ 8♦ 10♣ J♣ Q♣
4 to a Flush: 7TJQ3 to a Royal Flush: TJQ
(more)7♣ 8♦ 10♣ J♣ Q♣