Let $S$ be a set of outcomes and let $A$ and $B$ be events with outcomes in $S.$ Let $\sim B$ denote the set

Let $S$ be a set of outcomes and let $A$ and $B$ be events with outcomes in $S.$ Let $\sim B$ denote the set of all outcomes in $S$ that are not in $B$ and let $P(A)$ denote the probability that event $A$ occurs. What is the value of $P(A)?$

(1) $P(A \cup B) = 0.7$
(2) $P(A \cup \sim B) = 0.9$

Answer: C

Source: Official Guide

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