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

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