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Old 01-01-2005, 12:05 PM
Cobra Cobra is offline
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Join Date: Nov 2004
Posts: 116
Default Re: Place or Formulas for trips odds

I am new to the probability area so hopefully someone will check my numbers to insure I am not misleading anyone. I have come up with some formula's that will give you some information on what your opponents may hold given a certain flop. As said this may not be useful because its saying your opponents after the flop have random hands. That said here goes.

N = Number of oppenents

No one has a ten = C(45,2n)/C(47,2n)

Exactly one person has a ten = 2*C(45,2n-1)/C(47,2n)

One person has two tens = N/C(47,2)

Two players have a ten = (C(45,2n-2)-N)/C(47,2)

One or more players have a ten = 1-C(45,2n)/C(47,2n)

These numbers could be used if the Flop has AAx , you don't have an A, and are wondering if one of your opponents has one. Or if the Flop has an Axx, you have an Ax, and are wondering wether one of your opponents was dealt the other Ace's.

Cobra
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