Katie C.

asked • 04/01/15

What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?

For this problem, assume that the committee contains 10 men and 5 women and that three are selected at random for a subcommittee.
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?

1 Expert Answer

By:

Richard P. answered • 04/01/15

Fairfax County Tutor for HS Math and Science

Katie C.

This answer was wrong
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04/01/15

Richard P.

tutor
If the second part of the problem statement is interpreted as:  "There is additional a priori information that the result of the selection process resulted in either a group of 2 men and 1 woman   OR a group of   1 man and 2 women"   ;  then a similar analysis of the probability of a 1 man , 2 women group must be carried out.   The result of this is 120/546.
 
The final answer is then   (324/526)  /[ 324/526 + 120/546 ]  which reduces to 54/74
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04/03/15

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