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The probability that a freshman will not be selected as captain is the total number of upperclassmen (sophomores, juniors, and seniors) divided by the total number of students (freshmen, sophomores, juniors, and seniors).
Total upperclassmen = 3 sophomores + 3 juniors + 3 seniors = 9
Total students = 3 freshmen + 3 sophomores + 3 juniors + 3 seniors = 12
P(freshman is not selected as captain) = 9/12 = 3/4
Therefore, the probability that a freshman will NOT be selected as captain is 3/4.