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A Drug-Induced Random Walk

Daniel J. Velleman
The American Mathematical Monthly
Vol. 121, No. 4 (April 2014), pp. 299-317
DOI: 10.4169/amer.math.monthly.121.04.299
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Page Count: 19
Topics: Pills, Bottles
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A Drug-Induced Random Walk
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Abstract The label on a bottle of pills says “Take one half pill daily.” A natural way to proceed is as follows: Every day, remove a pill from the bottle at random. If it is a whole pill, break it in half, take one half, and return the other half to the bottle; if it is a half pill, take it. We analyze the history of such a pill bottle.

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