# A Drug-Induced Random Walk

```@article{Velleman2014ADR,
title={A Drug-Induced Random Walk},
author={Daniel J. Velleman},
journal={The American Mathematical Monthly},
year={2014},
volume={121},
pages={299 - 317}
}```
• Daniel J. Velleman
• Published 1 April 2014
• Art, Computer Science
• The American Mathematical Monthly
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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