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There are two types of coins: real coins and fake (counterfeit) coins. Real coins ips heads with probability p, and tails with probability 1 p.

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There are two types of coins: real coins and fake (counterfeit) coins. Real coins ips heads with probability p, and tails with probability 1 p. Counterfeit coins ip heads with probability (.3, and tails with probability 1 q. The coins otherwise look totally identical, with no other distinguishing features. Both p and q are xed, known constants, with 0

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