Suppose you’re a contestant on a game show, and you’re given the choice of three doors. Each door itself is made of transparent materials. You can see all 3 doors. The announcer tells you that the items behind the three doors are a motorcycle, a goat, and a goat. You pick door #1. The host opens door #3, which opens to show a goat. The host then says to you, “Do you want to pick door #2 instead?” Assuming that you want the most valuable item, what should your response to the host's question be? Use common sense.