It's undefinable. You're just as likely to get all zeros, or all ones, as you are to get any arrangement of numbers you care to mention (or can mention); the probability being 0 for each, I suppose. The difference is, there are some infinite binary strings of numbers you cannot define without an infinite description (semantic paradoxs aside).. which one assumes, are 'truly' random.
>From: Norman Samish <[EMAIL PROTECTED]> >To: [EMAIL PROTECTED] >Subject: The infinite list of random numbers >Date: Thu, 08 Nov 2001 20:41:30 -0800 > >Suppose an ideal random number generator produces, every microsecond, >either >a zero or a one and records it on a tape. After a long time interval one >would expect the tape to contain a random mix of zeroes and ones with the >number of zeroes equal to the number of ones. Is this necessarily true? >Is >it possible that, even after an infinite time had passed, that the tape >could >contain all zeroes or all ones? Or MUST the tape contain an equal number >of >zeroes and ones? Why? If you have a reference dealing with this topic, >please let me know. Thanks, >Norm Samish _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp
