Suppose we make three consecutive random selections from this group of 200 students. After each selection, we record the grade and sex of the individual selected and replace him or her back in the group before making our 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 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 with a grade of B and the second selection is a female;
(d)all three selections are males with a grade of B or better.

Question

Suppose we make three consecutive random selections from this group of 200 students. After each selection, we record the grade and sex of the individual selected and replace him or her back in the group before making our 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 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 with a grade of B and the second selection is a female;
(d)all three selections are males with a grade of B or better.

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The Answer of  
Suppose we make three consecutive random selections from this group of 200 students. After each selection, we record the grade and sex of the individual selected and replace him or her back in the group before making our 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 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 with a grade of B and the second selection is a female;
(d)all three selections are males with a grade of B or better.

Suppose We Make Three Consecutive Random Selections from This Group