Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find
$P (A \cup B)$

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Solution

We know that
$P (A \cup B) = P (A) + P (B) - P (A \cap B) = P (A) + P (B) - P (A) P (B) = 0.3 + 0.4 - 0.3 \times 0.4 = 0.7 - 0.12 = 0.58$

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