A cabinet has 3 identical drawers. One drawer contains 2 gold coins, another drawer has a gold coin and a silver coin, and the third drawer has 2 silver coins. You select a drawer at random and take one of the coins, also at random.
(a) What is the chance you get a gold coin?
(b) Given that you got a gold coin, what is the chance the other coin in the drawer you selected is also gold?