Imagine that you are trapped in a circular room with three doors symmetrically placed around the perimeter. You are told by a mysterious voice that one door leads to the outside after a 2-h trip through a maze.
However, the other two doors lead to mazes that terminate back in the room after a 2-h trip at which time you are unable to tell through which door you exited or entered.
What is the average time for escape to the outside?
Provide a physical explanation for the answer.