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Question: Urn A has three red balls and two white balls, and urn B has two red balls and five white balls. A fair coin is tossed. If it lands heads up, a ball is drawn from urn A; otherwise, a ball is drawn from urn B.

a. What is the probability that a red ball is drawn?

b. If a red ball is drawn, what is the probability that the coin landed heads up?

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