alleryIf P(A) = 0.4, P(B|A) = 0.5, then P(A ∩ B) equals
A0.9
B0.2
C0.1
D0.8
Answer & Solution
Correct answer: B. 0.2
1. By the multiplication rule, P(A ∩ B) = P(A) × P(B|A).
2. Substitute: P(A ∩ B) = 0.4 × 0.5.
3. = 0.20.
4. Note: P(A ∪ B) would need extra information about P(B) or P(B|A^c).
_Source: syllabus Mathematics, Ch 13 "Probability", §13.3_
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