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1. You have two coins, one is fair, which has equal chance to show heads and tails, and the other is biased, which is twice

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1. You have two coins, one is fair, which has equal chance to show heads and tails, and the other is biased, which is twice likely to show heads than tails. Suppose you pick up a coin at random and toss it. If you get heads, what is the probability that this is the biased coin

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