Suppose that we have two urns, 1 and 2, each with two drawers. Urn 1 has a gold coin in one drawer and a silver coin in the other drawer which urn 2 has a gold coin is each drawer. One urn is chosen at random; then a drawer is chosen at random from the chosen urn. The coin found in drawer turns out to be gold . What is the probability that the coin came from urn 2?
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