Q15: Let A and B be two events such that Let A and B be two events such that P (A) > 0 and P (B) > 0. Which one of the following statements is false? O (AU B)C = AC n Be O ACn B and Arn BC are mutually exclusive. O P(A|B) + P(A©|B) = 1 O If A and B are independent, then P (A|B) = P(A). O If P(AN B) = 0, then A and B are independent.

A First Course in Probability (10th Edition)
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Q15: Let A and B be two events such that
Let A and B be two events such that P (A) > 0 and P (B) > 0. Which one of the following statements is false?
O (AUB)C = A° n Be
O ACn B and An BC are mutually exclusive.
O P(A|B) + P(A°|B) = 1
O IfA and B are independent, then P (A|B) = P(A).
O If P (AN B) = 0, then A and B are independent.
Transcribed Image Text:Q15: Let A and B be two events such that Let A and B be two events such that P (A) > 0 and P (B) > 0. Which one of the following statements is false? O (AUB)C = A° n Be O ACn B and An BC are mutually exclusive. O P(A|B) + P(A°|B) = 1 O IfA and B are independent, then P (A|B) = P(A). O If P (AN B) = 0, then A and B are independent.
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