background tom must be new here...
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Lab Rat on the Run
I cant see why this is the answer, there is one combination of routes that yeilds this answer, with a probability of 0.015625 that it will be taken. However if you said that the answer was 5 minutes there are two different routes that could be taken given a probability of 0.3125 that this time is achieved. This is the most likely time and therefore the expected time...context