Date: Dec 27, 2012 6:12 AM
Author: quasi
Subject: Re: Probability Pill
quasi wrote:

>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.

Oops -- ignore my answer -- it's blatantly wrong.

I'll rethink it.

In the meantime, can you identify the source of the

problem?

quasi