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Exercise 1.13. Suppose that F is a -field on any set and that B E F is any event. (a) Is the family H

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Exercise 1.13. Suppose that F is a -field on any set and that B E F is any event. (a) Is the family H := {AUB: AE F} a -field on ? (b) Show that the family G := {An B : A F} is a -field on B.

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