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Mathematics, 11.06.2020 08:57 AngstyGroot

Jason Bourne has been held captive in a prison from which there are three possible routes to escape: an air duct, a sewer pipe and the door (which happens to be unlocked). The air duct leads him on a three hour trip whereupon he falls through a trap door onto his head. The sewer pipe is similar but takes two hours to traverse. Each fall produces amnesia and he is returned to the cell immediately after each fall. Assume that he always immediately chooses one of the three exits from the cell with probability 1 3 . On average, how long does it take before he opens the unlocked door and escapes

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