Date: Dec 27, 2012 6:08 AM
Author: quasi
Subject: Re: Probability Pill
quasi wrote:

>William Elliot wrote:

>

>>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.

>

>I suspect that the above question is not actually yours.

>

>If that's the case, what is the actual source?

>

>Is it from a poster in another forum? If so, why do you omit

>mention of the poster and the forum?

>

>Is it from a book or math contest?

>

>Why do you repeatedly post questions that are not your own

>without giving credit to the source?

>

>In any case, the expected number of halves left when the last

>whole pill is split is

>

> (199!) / ((4^99)*((99!)^2))

Which is slightly more than 11 half pills.

quasi