Let $A , B$ , And $C$ Be Events in a Sample Space

Essay

Let $A , B$ , and $C$ be events in a sample space $S$ such that $S = A \cup B \cup C$ . Suppose that $P ( A ) = 0.3 , P ( B ) = 0.6$ , and $P ( A \cap B ) = 0.2$ . Find each of the following.
(a) $P ( A \cup B )$
(b) $P ( C )$
(c) $P \left( A ^ { c } \cup B ^ { c } \right)$