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b) (12.5 points) Let A be some event and let the family (B,; B2; B;] form a partition of the sample space S.' If A

b) (12.5 points) Let A be some event and let the family (B,; B2; B;] form a partition of the sample space S.' If A is ndependent of B, and B2, is it also independent of Ba? Explain. A proof or counterexample will suffice as an

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