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

[Gmat_mission]

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