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Given three identical boxes I, II and III each containing two coins. In box I, both coins are gold, In box II both are silver and in box III there is one gold and one silver coin. A person choose a box and takes out a coin. If the coin is gold, what is the probability that the other coin is also gold Select the correct answer from above options

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E1 : Both gold coin E2 : Both silver coin E3 : One gold and one silver

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