Jamia Millia Islamia MCA Probability Conditional Bays Previous Year Questions (PYQs)
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If A and B are two independent events in a sample space, then $P(\overline{A}/\overline{B})$ equals:
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Solution
For independent events:
$P(\overline{A}/\overline{B}) = P(\overline{A}) = 1 - P(A)$
If$P(A) = 0.4,\ P(B) = 0.7,\ P(B|A) = 0.6$, then $P(A \cup B)$ is
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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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