Expert: Paul Klarreich - 10/15/2010

Question
six people are to be divided into 2 groups, each with atleast 1 person.find the probability that,
there will be 2 in one group and 4 in the other.

answer: 15/31

Answer
Questioner:   angelo
Country:  Australia
Category:  Advanced Math
Private:  Yes  <<<

>> Don't mark private -- I change to public anyway.  If it really has to be private, send it elsewhere.

 
Subject:  permtns/combinatns
Question:  six people are to be divided into 2 groups, each with atleast 1 person.find the probability that,
there will be 2 in one group and 4 in the other.

answer: 15/31   << Well, if you know the answer, why do you need me?

Try  C(6,2)/(2^5 - 1)

six people are to be divided into 2 groups  

>> there are 2^6 subsets, so 2^6/2 ways to divide (see last answer)
, each with atleast 1 person.

>> minus the empty set.

find the probability that,
there will be 2 in one group and 4 in the other.

>> That's C(6,2) or C(6,4), which, by now, you know are the same.