申論題

(c) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. There are a variety of preparatory courses designed to help improve GMAT scores. Let A₁ be the event that an applicant gets GMAT score 650 or more, be the event that llie applicant gets GMAT score less than 650，and B be the event that the applicant take preparatory course. Suppose

(i) Are A₁ and A₂ mutually exclusive? (2%)