alleryIf P(A) = 0.4, P(B) = 0.5, P(A ∩ B) = 0.2: A and B independent?
AAlways dependent
BNo
CYes (P(A)P(B) = 0.2 = P(A ∩ B))
DCannot tell
Answer & Solution
Correct answer: C. Yes (P(A)P(B) = 0.2 = P(A ∩ B))
We have P(A) × P(B) = 0.4 × 0.5.
That is P(A) × P(B) = 0.2.
So P(A) × P(B) = P(A ∩ B).
**Hence independent.**
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