olymmath

HMMT November 2010 T2

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In terms of kk, for k>0k>0 how likely is he to be back where he started after 2k2 k minutes?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{4}+\frac{3}{4}\left(\frac{1}{9}\right)^{k}

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