Aspire Faculty ID #13531 · Topic: JAMIA MILLIA ISLAMIA MCA 2024 · Just now
JAMIA MILLIA ISLAMIA MCA 2024

If$P(A) = 0.4,\ P(B) = 0.7,\ P(B|A) = 0.6$, then $P(A \cup B)$ is

Solution

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$ $P(A \cap B) = P(A) \times P(B|A) = 0.4 \times 0.6 = 0.24$ $\Rightarrow P(A \cup B) = 0.4 + 0.7 - 0.24 = 0.86$
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