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Probability Basicshard
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A coin bag contains 1 gold coin and 9 silver coins. A coin is drawn at random from the bag. An appraiser, who is correct 90%90\%90% of the time (i.e., the probability they correctly identify gold is 0.90.90.9, and the probability they correctly identify silver is 0.90.90.9), examines the coin and declares it to be a gold coin. What is the probability that the coin is actually gold?