5. Consider rolling two fair dice. Let A be the event that the sum o

5. Consider rolling two fair dice. Let A be the event that the sum
of the two dice is 8, and B be the event that the first one is a multiple of 3.
(a) What is the probability that the sum of the two dice is 8 given that the first one is a multiple of 3? (Show all work. Just the answer, without supporting work, will receive no credit.)
(b) Are event A and event B independent? Explain.

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