Question: 8. Consider rolling two fair dice. Let A be the event that the sum of the two dice is 7, and B be the event

8. Consider rolling two fair dice. Let A be the event that the sum of the two dice is 7, and B be the event that the first one is an even number.

(a) What is the probability that the sum of the two dice is 7 given that the first one is an even number? 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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