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Each of 3 boxes, identical in appearance, has 2 drawers. Box A contains a gold coin in each drawer; box B contains a silver coin in each drawer; box C contains a gold coin in 1 drawer and a silver coin in the other. A box is chosen, one of its drawers is opened, and a gold coin is found. (i) What is the probability that the other drawer contains a silver coin? Write out the probability space of the experiment. Why is it fallacious to reason that the probability is i- that there will be a silver coin in the second drawer, since there are 2 possible types of coins, gold or silver, that may be found there? (ii) What is the probability that the box chosen was box A? Box B? Box C?

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