Thomas Borchert wrote in
:

Crash,

PROBABILITY, not POSSIBILITY.
Big difference.


I know. I mistyped. Still: Nothing happens if it has zero probability
of happening.


Actually, that is not true unless the set of outcomes is discrete and
finite.

To see this, consider the real interval U = [0, 1]. Denote by R the
subset of rational numbers in U. The set of irrational numbers, Q = U/R
is dense in U, therefore, the probability of picking an rational number
in U at random is zero. Yet, it is not impossible.

In addition, with a continuous probability density function, the
probability of picking any given element is zero, yet some specific
element is picked etc etc.

Zero probability does not mean impossibility.

http://www.cs.cmu.edu/~ndr/ProbabilityParadox.html
http://en.wikipedia.org/wiki/Almost_surely

Sinan

--
A. Sinan Unur
(remove .invalid and reverse each component for email address)