A selective college reports that their admission rate is 016

A selective college reports that their admission rate is 0.16. For early applicants, the probability of being accepted is 0.275. For regular applicants, the probability of being accepted is 0.10. Assume that a student can be either accepted or rejected (but not waitlisted or deferred).

(b) What is the probability that an applicant was rejected?

Solution

probability that an applicant was rejected = Pr(early and rejected)+Pr(regular and rejected)

= 0.84(1-0.275)(1-0.10)

= 0.5481