HMMT November 2009 T10
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- Answer
Suppose that instead there are 6 rooms with 4 doors. In each room, 1 door leads to the next room in the sequence (or, for the last room, Bowser's level), while the other 3 doors lead to the first room. Now what is the expected number of doors through which Mario will pass before he reaches Bowser's level?
Dataset text NuminaMath olympiads. Quoted with source.
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