Richard Ulrich wrote:
>
> On Thu, 29 Apr 2004 21:15:26 +0200, Vijay Arya <[EMAIL PROTECTED]>
> wrote:
>
> >
> > I guess tossing the same coin may not make it dependent. One can use a
> > single coin and generate an infinite trace of heads and tails 101001....
> > which becomes the population.
> >
> > Provided that A and B donot choose the same 0 or same 1 in their
> > samples, the samples of A and B will remain independent.
>
> When I toss a quarter multiple times and catch it in the air,
> the consecutive outcomes are not independent, or I never
> would have hit 16 heads in a row.
Doesn't follow. If you have a 1% probability of failing in your
attempt to toss a head, and this does not depend on the previous
attempt,
then consecutive outcomes are independent but 1 stringof 16 heads is
quite probable.
Indeed, if you are a perfect heads-tosser, than P(Hn|Hn-1) = P(H) = 1
so they are independent.
-Robert Dawson
.
.
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