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Given three identical boxes I, II and II...

Given three identical boxes I, II and III, each containing two cọins. In box 1 , both coins are gold coins, in box II, both are silver coins and in the box III, there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold?

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