Question

Each morning, joe leaves his house and goes for a run. He's equally likely to leaveeither from the front or back door. Upon leaving the house, he chooses a pairof running shoes (or goes barefoot if there are no shoes at the door from whichhe departed). On his return, joe is equally likely to enter, and leave his runningshoes, either by the front or back door. If he owns a total of k pairs of shoes,what's the long-run proportion of time that he runs barefooted?

Answer 1

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