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

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

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