Nationally, 46% of applicants to medical school are accepted to at least one school.If two medical school applicants are selected at random, what is the probability that neither of the two was accepted by any medical school? (Assume that the two applicants are selected with replacement; that is, it is possible for the same applicant to be selected twice).
A)21%
B)29%
C)46%
D)54%
E)87%

Question

Quizplus · Accepted Answer

The probability that one applicant is not accepted is 1 - 0.46 = 0.54. Since the applicants are selected with replacement, the probability that neither of the two applicants is accepted is 0.54 * 0.54 = 0.2916, or approximately 29%.

Nationally, 46% of Applicants to Medical School Are Accepted to at Least