7. Suppose you make three consecutive random selections from the group of 200 students in Problem 5. After each selection, you record the grade and sex of the student selected and replace him or her back in the group before making your next selection. First, determine the following three probabilities for a single selection: the probability of a male B student, a male A student, a female student. Now, apply the appropriate rule(s)

to these probabilities to determine the probability that:

(a) the first selection is a male with a grade of at least B

(b) the second selection is a male with a grade of B or a female

(c) the first selection is a male B student and the second selection is a female

(d) all three selections are males with a grade of B or better