Events $A$ and $B$ are mutually exclusive with $P (A) = 0.3$ and $P (B) = 0.45$ . What is $P (A \cup B)$ ?

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For events $A$ and $B$ : $P (A) = 0.5$ , $P (B) = 0.3$ and $P (A \cup B) = 0.65$ . What is $P (A \cap B)$ , and are $A$ and $B$ independent?
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