Let A, B, and C be events in a sample space. Prove or disprove: a. If A and B are

Chapter 32, Problem 32.25

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Let A, B, and C be events in a sample space. Prove or disprove: a. If A and B are independent, and B and C are independent, then A and C are independent. b. If P .A \ B \ C / D P .A/P .B/P .C /, then A and B are independent, A and C are independent, and B and C are independent. c. If A and B are independent, A and C are independent, and B and C are independent, then P .A \ B \ C / D P .A/P .B/P .C /.

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