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]>
>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, 
>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?  
>it possible that, even after an infinite time had passed, that the tape 
>contain all zeroes or all ones?  Or MUST the tape contain an equal number 
>zeroes and ones?  Why?  If you have a reference dealing with this topic,
>please let me know.  Thanks,
>Norm Samish

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