On Sat, Jun 28 2014, Canek Peláez Valdés wrote:

> That doesn't matter. Take a non-negative integer N; if you flip a coin
> an infinite number of times, then the probability of the coin landing
> on the same face N times in a row is 1.

This is certainly true.

> This means that it is *guaranteed* to happen

That is not as clear.  Prob = 1 does not always mean certain (when there
are infinite possibilities).  For example the probability is zero that a
random rational number chosen between 0 and 1 is exactly 1/2.  So the
probability is 1 that the number is not 1/2.  However it is not certain
that the random choice will not be 1/2.

allan

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