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Last Updated on May 5, 2023
GMAT OFFICIAL GUIDE PS
Solution:
To solve the problem we must remember that:
probability = (number of favorable outcomes)/(total number of outcomes)
In the problem we are being asked for the probability of a woman being selected.
favorable outcomes = a woman being selected
number of favorable outcomes = w + 3
We see that we started with w women and then 3 women were added.
total outcomes = total people in the committee
number of total outcomes = w + 3 + m + 2 = w + m + 5
We see that we started with w women and then 3 women were added, and we started with m men and 2 men were added. Thus the probability of a woman being selected is:
(w + 3)/(w + m + 5)
Answer: E
