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?