Question

There are three chests, each of which contains 100 coins. One chest has 100 gold coins, one has 100 silver coins, and the third has an equal split of 50 gold coins and 50 silver coins. Each chest is labelled, but all are mislabeled. You are allowed to pick one coin from just one of the cases, and after this, you must correctly identify each of the three chests. What should you do?

Answer 1

I would choose a coin from the case containing half gold coins and half silver coins, because if you get a gold coin then you are going to know the chest only contains cold coins. From this we can deduce that the chest marked silver coins is really the 50/50, and the chest marked gold is really silver. Explanation: