A warden in a prison decides to give a certain prisoner a chance at freedom. The warden brings the prisoner to the two doors as shown and explains that, behind the doors, no room is empty. If gold is behind the door that the prisoner chooses, he gets to keep it and gets to go free. But, if the prisoner chooses a door with a tiger behind it, the tiger will have its dinner for the night. The warden tells the prisoner that either both signs are true or both are false. If you were the prisoner, which door would you choose to get the gold and obtain your
freedom? Explain why.