You enter a room with two chests. You know that one chest has a lot of money (but you are unsure as to which). You know the other chest has half as much. Being the greedy person you are you want the most money but the chest are indistinguishable from each other outside of opening and counting the contents. You picked the first chest. Just before you open it, the owner of the chests offers you an opportunity to switch. Should you?