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(15%) A box contains two regular quarters and three fake two-headed quarter (i.e., P(H| Fake Coin)=1): a. (7%) You pick a coin at random, and

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(15%) A box contains two regular quarters and three fake two-headed quarter (i.e., P(H| Fake Coin)=1): a. (7%) You pick a coin at random, and toss it, what is the probability that it lands heads up? b. (8%) You pick a coin at random, and toss it, and get heads. What is the probability that it is the two-headed quarter

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