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Expected value? Expected time

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You are trapped in a dark cave with three indistinguishable exits on the walls. One of the exits takes

you 3 hours to travel and takes you outside. One of the other exits takes 1 hour to travel and the other

takes 2 hours, but both drop you back in the original cave. You have no way of marking which exits

you have attempted. What is the expected time it takes for you to get outside?
asked Jan 22 by Amit Alok (150 points)

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