Given P(A)=0.5, P(B)=0.3, P(A∩B)=0.1. Are A and B independent? MCQ with Answer and Explanation

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Given P(A)=0.5, P(B)=0.3, P(A∩B)=0.1. Are A and B independent?

A. Yes, because they are mutually exclusive

B. No, because 0.1 ≠ 0.15

C. Yes, because P(A∩B)=P(A)P(B)

D. Cannot determine

Answer: Option B

Solution (By JKExamLibrary)

P(A)P(B)=0.5×0.3=0.15 ≠ 0.1, so not independent.

This question belongs to: Accountancy and Statistics Statistics

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