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Let $q(k)$ be the probability that the process initiated by a single coin will stop on or before $k$ minutes. We write $q(k+1)$ in terms of $q(k)$: \begin{align} q(1) &= 1/2\\ q(2) &= (1/2) + (1/2)q(1)^2 = 5/8\\ q(3) &= (1/2) + (1/2)q(2)^2 = 89/128\\ q(4) &= (1/2) + (1/2)q(3)^2 = 24305/32768\\ q(5) &= (1/2) + (1/2)q(4)^2 = 16644\hspace{...


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