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# Consider rolling a fair 6-faced die twice. Let A be the event that the sum of the two rolls is at most 4, and B be the event that the first one is an...

Consider rolling a fair 6-faced die twice. Let A be the event that the sum of the two rolls is at most 4, and B be the event that the first one is an odd number. (a) What is the probability that the sum of the two rolls is at most 4 given that the first one is an odd number? Show all work. Just the answer, without supporting work, will receive no credit. (b) Are event A and event B independent? Explain.