Suppose there are 10 drawers, each containing two coins. Drawers 1 and 2 contain only gold coins, while in drawers 3;4 and 5 one is a gold coin and the other one is a silver coin, and rest of the drawers contain only silver coins. Suppose you pick a drawer D at random, and then a coin at random from it. Given that you choose a gold coin nd the conditional probability that the other coin is also gold. Find the conditional distribution of the random drawer D.