There are boxes each with two drawers box 1 has a gold coin, Basic Statistics

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There are boxes each with two drawers box 1 has a gold coin

Question: There are boxes, each with two drawers. Box 1 has a gold coin in each drawer, and box 2 has a silver coin in each drawer. Box 3 has a silver coin in one drawer and a gold coin in the other. One box is chosen at random, then a drawer is chosen at random from the box. Find the probability that box 1 is chosen, given that the chosen drawer yields a gold coin.

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Basic Statistics: There are boxes each with two drawers box 1 has a gold coin

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