Question: Consider rolling a fair 6-faced die twice. Let A be the event that the product of the two rolls is at most 5, and B

Consider rolling a fair 6-faced die twice. Let A be the event that the product of the two rolls is at most 5, and B be the event that the first one is a multiple of 3.

(a) What is the probability that the product of the two rolls is at most 5 given that the first one is a multiple of 3? Show all work.

(b) Are event A and event B independent? Explain.

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