If P(A) = 0.45, P(B) = 0.25, and P(B|A) = 0.45, are A and B independent?
A) no
B) yes
C) cannot determine

Name: If P(A) = 0.45, P(B) = 0.25, and P(B|A) = 0.45, are A and B independent? A) no B) yes C) cannot determine
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Question

Quizplus · Accepted Answer

Two events A and B are independent if P(A and B) = P(A)P(B). Given P(B|A) = 0.45, we can find P(A and B) = P(B|A)P(A) = 0.45 * 0.45 = 0.2025. Since P(A)P(B) = 0.45 * 0.25 = 0.1125, which is not equal to P(A and B), A and B are not independent.