P(A)=25, P(A B)=320.

Question

$P(A)=\dfrac25$, $P(A\cap B)=\dfrac{3}{20}$. Find $P(A\mid A'\cup B')$.

Accepted Answer

$P(A\cup B) = 1-P(A\cap B)=\dfrac{17}{20}$ *(from the source's derivation)*.

$$P(A\mid \overline A\cup \overline B) = \frac{P(A)-P(A\cap B)}{P(\overline{A\cap B})} = \frac{5/20}{17/20}=\frac{5}{17}$$

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