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?