Question: A class had two sections. Section I had 55 students of whom 10 received A grades. Section II had 45 students of whom 11 received

A class had two sections. Section I had 55 students of whom 10 received A grades. Section II had 45 students of whom 11 received A grades. Now I of the 100 students is chosen at random, with each being equally likely to be chosen.
(a) What is the probability that the student was in section I?
(b) What is the probability that the student received an A grade?
(c) What is the probability that the student received A grade if the student is known to have beer section I?
(d) What is the probability that the student was in section I if the student is known to have received an A grade?

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