For events A, B, and C, state whether each of the following is always true (T) or not always true (F): (a) P(A|B) + P(A|B) = 1 (b) If A and B are independent events then A is independent of B. (c) If P(C) > 0 and P(A) > P(B) then P(A|C) > P(B|C).

For events A, B, and C, state whether each of the following is always true (T) or not always true (F): (a) P(A|B) + P(A|B) = 1 (b) If A and B are independent events then A is independent of B. (c) If P(C) > 0 and P(A) > P(B) then P(A|C) > P(B|C).

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter7: Uncertainty

Section: Chapter Questions

Problem 7.3P

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2. (+3) For events A, B, and C, state whether each of the following is always true (T) or not always true (F): (a) P(A|B) + P(A|B) = 1 (b) If A and B are independent events then A is independent of B. (c) If P(C) > 0 and P(A) > P(B) then P(A|C) > P(B|C).

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