Question

Given two independent events A and B such that P (A) = 0.3 and P (B) = 0.6. Find P (A ∪ B).

Answer 1

\[\text{ Given } : \]
\[\text{ A and B are independent events } .\]
\[P\left( A \right) = 0 . 3\]
\[P\left( B \right) = 0 . 6\]

\[P\left( A \cup B \right) = P\left( A \right) + P\left( B \right) - P\left( A \cap B \right)\]
\[ = 0 . 3 + 0 . 6 - 0 . 18\]
\[ = 0 . 9 - 0 . 18\]
\[ = 0 . 72\]