HMMT 2005 U25
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- Answer
An ant starts at one vertex of a tetrahedron. Each minute it walks along a random edge to an adjacent vertex. What is the probability that after one hour the ant winds up at the same vertex it started at?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{3^{59}+1}{4 \cdot 3^{59}}
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