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2. Bob has four coins, of which 3 are fair coins and the third is a fake coin that has heads on both sides. Bob

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2. Bob has four coins, of which 3 are fair coins and the third is a fake coin that has "heads" on both sides. Bob selects a random coin and tosses it. (a) What is the probability that it comes up heads? (b) Given that it does come up heads, what is the probability that the coin that Bob tossed was one of the fair coins

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