HMMT November 2015 U24
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- Answer
Three ants begin on three different vertices of a tetrahedron. Every second, they choose one of the three edges connecting to the vertex they are on with equal probability and travel to the other vertex on that edge. They all stop when any two ants reach the same vertex at the same time. What is the probability that all three ants are at the same vertex when they stop?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1}{16}
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