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Addition Theorem of Probability for 2 Events

If A and ...

Question

If $A$ and $B$ are independent events with $P (A) = 0.2$ and $P (B) = 0.5$ , then find the value of $P (A \cup B)$ .

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Solution

It is given that $A$ and $B$ are independent events.
Therefore, $P (A \cap B) = 0$
$P (A \cup B) = P (A) + P (B)$
$P (A \cup B) = 0.2 + 0.5 = 0.7$

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