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Let A, B and C be events of a random experiment such that P(B) e (0, 1), P(C) > 0 and P(Bn C) > 0.

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Let A, B and C be events of a random experiment such that P(B) e (0, 1), P(C) > 0 and P(Bn C) > 0. Consider the following statements . If A, B and C are disjoint, then P(A| B) = P(A|C) [Il] If A and B are disjoint, then P(A U B|C) = P(A|C) + P(B|C) [III] P(A|B) + P(ABC) = P(A) . P(AnC B) = P(A|Bn C) P(C B). Choose the correct answer: Select one: O a. Only statement I is correct. O b. Only statements | and IV are correct. O c. Only statements I and ll are correct. O d. Only statements I and Ill are correct. O e. Only statements II and Ill are correct. O f. Only statement IV is correct. O g. Exactly three statements are correct. O h. Only statements II and IV are correct. O i. All statements are correct. O j. Only statements Ill and IV are correct. O k. Only statement Ill is correct. O I. Only statement II is correct

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