Last Updated on May 11, 2023
GMAT OFFICIAL GUIDE DS
Solution:
Let’s say Jill is applying to company A and company B. We can create the following equation:
1 = P(offer from only A) + P(offer from only B) + P(offer from both) + P(offer from neither)
We need to determine the probability that she will get a job offer from both companies.
Statement One Alone:
The probability that she will get a job offer from neither company is 0.3.
Statement one tells us that P(offer from neither) = 0.3; however, we still need to know P(offer from only A) + P(offer from only B) to determine P(offer from both). Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.
Statement Two Alone:
The probability that she will get a job offer from exactly one of the two companies is 0.5.
Statement two tells us that P(offer from only A) + P(offer from only B) = 0.5; however, we still need to know P(offer from neither) to determine P(offer from both). We can eliminate answer choice B.
Statements One and Two Together:
Using the information in statements one and two, we know the following:
P(offer from neither) = 0.3
P(offer from only A) + P(offer from only B) = 0.5
Thus:
1 = 0.5 + P(offer from both) + 0.3
0.2 = P(offer from both)
Answer: C
