Answer
True.
Work Step by Step
Let E be the an event that is almost certain to happen and E' the complement of the event E.
$P(E')=1-P(E)$. But, P(E) is almost equal to 1. So:
$P(E)\approx0$
For example, if P(E) = 0.99, P(E') = 0.01.
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