Consider rolling a fair 6-faced die twice. Let A be the event that the sum of the two rolls is exactly 6, and B be the event that the first one is an even number.(a) What is the probability that the s

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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 exactly 6, and B be the event that the first one is an even number.

  1. (a) What is the probability that the sum of the two rolls is exactly 6 given that the first one is an even number? Show all work.
  2. (b) Are event A and event B independent? Explain.
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