[Mano]

Your thinking along the right lines, but it isn't that simple. There are uncountably infinite subsets of the of the unit segment such as the Cantor set, which nonetheless have a measure of zero (and hence a probability of zero of choosing if you randomly pick a number between zero and 1). It comes down to a branch of mathematics called measure theory. A space is "measurable" if you can define a function from certain subsets of the space to the real numbers that satisfies certiain axioms, like the measure of the union of two disjoint subsets is the sum of their measures. Probability is the study of measurable spaces with a measure of 1. I'd have to dig out my old college math stuff to go much deeper than this ( I haven't really looked at any of it in over 10 years). Clear as mud, huh. [img]/forums/images/icons/wink.gif[/img] Anyway, that's my 2 cents on the subject.