Living life on the edge!

A bug starts on one vertex of a dodecahedron. Call it A. Define a second vertex adjacent to the one he starts on, and call it B.

Every second he randomly walks along one edge to another vertex. What is theexpected valueof the number of seconds it will take for him to reach the vertex B?


Clarification:每秒钟他选择随机三国edges available to him, including the one he might have just walked along. On his first move, he has a 1 3 \frac13 probability of reaching B.


See my otherExpected Valuequizzes.
Image credit:math.wikia.com
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