Katie C.

# 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?

By:

Katie C.

Report

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
Report

04/03/15

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem.
Most questions answered within 4 hours.

#### OR

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.