An interesting fact: Probability 0 means “very rare” but NOT “absolutely impossible”

Consider the following sequence

ABABBABBBABBBB….

Using some basic maths we can easily ascertain that the relative frequency of A goes to zero as the length of the sequence goes to infinity (i.e. its limiting value equals zero). Hence the (frequentist) probability 0 means infinitely rare but not absolutely impossible.

(graph source: infosthetics.com)

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