There are three cabinets, A, B, and C,each of which has 2 drawers. Each drawer has 1 coin: A has 2 gold coins, B has 2 silver co
ins and C has 1 silver and one gold coin. A cabinet is chosen at random, one drawer is opened and a silver coin is found. What is the probability that the other drawer in that cabinet contains a silver coin?
Only cabinet with two silver coins is cabinet B. The chance of choosing cabinet B is 1/3. Thus, there is a 1/3 chance of the two cabinets contain 2 silver coins.