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Cyberguijarro · Answer 1 · 2019-09-18T03:54:50+0000

By definition of conditional probability,

$\mathbb P(A\mid A^C)=(\mathbb P(A\cap A^C))/(\mathbb P(A^C))$

But any event and its complement cannot occur simultaneously; they are disjoint, so the probability of their intersection is 0. So the conditional probability is also 0.

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