Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will be accepted at both universities?
A) .65
B) .25
C) .20
D) .09

Question

Quizplus · Accepted Answer

The probability of Jim being accepted at University X is 0.2 and the probability of being accepted at University Y is 0.45.
To find the probability of being accepted by both universities, we need to multiply the probability of being accepted by each university.
That is, P(Jim accepted at both universities) = P(Jim accepted at university X) * P(Jim accepted at university Y)
= 0.2 * 0.45 = 0.09
Therefore, the probability that Jim will be accepted at both universities is 0.09, which is answer choice D.

Jim Is Considering Pursuing an MS in Information Systems Degree