quasi
Posts:
11,911
Registered:
7/15/05


Re: Probability Pill
Posted:
Dec 27, 2012 6:08 AM


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

