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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) |
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