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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

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?

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

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