Suppose you’re on a game show, and you’re given the choice of three doors with transparent glass, so that the item behind it can be seen. Behind one door you see a motorcycle. Behind one of the other doors is a goat, and behind the remaining door is also a goat. You pick the motorcycle door, say No. 1, and the host opens another door, say No. 3, which has a goat. The host then says to you, “Do you want to pick door No. 2?” Assuming that you want the most valuable item, what should your response to host's question be?