Question: 2015 Winter Final - 13

Consider three events, $A$, $B$, and $C$ in a sample space $S$. Is the following true or false?

$\Pr\bigl(A \cup (\overline{B} \cap \overline{C})\bigr) = $

$\Pr(A) + \Pr(B)\ - $ $\Pr(C).$