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The problems formulation is not precisely accurate, so I will edit it.
My editing is underlined.
if we randomly generate 100 integer numbers between 1 and 100 , can we determine
what is the probability a particular number, for example 27, is not generated?
Solution
For any one single generation (any one of the 100 generations), the probability to get any integer
between 1 and 100 is
, under the given condition.
Hence, for any one single generation (any one of the 100 generations), the probability DO NOT get some particular integer
between 1 and 100 is
, under the given condition.
It implies that the probability DO NOT get some particular number at 100 generations is
= 0.366 = 36.6% (approximately).
Solved.