You are trapped in a dark cave with three indistinguishable exists on the walls. One of the exits takes you 3 hours to travel an
d takes you outside. One of the other exits takes you 1 hour to travel and the other takes 2 hours, but both drop you back in the original cave through the ceiling, which is unreachable from the floor of the cave. You have no way of marking which exits you have attempted. What is the expected time it takes for you to get outside
