Date: Dec 27, 2012 4:39 AM
Author: William Elliot
Subject: Probability Pill

Each day I take 1/2 an aspirin tablet. I bought a bottle of 100 tablets; 
each day I take out one, if it's whole I break it half and eat a half and
put the other half back: if I pull out a half tablet I eat it. I was
wondering after I break the last whole one what the expected number of
halves are in the bottle? I assume that any piece I pull out has uniform
probability.