If A and B are independent, prove that B and the complement of A are independent.
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- True or false Label each of the following statement as either true or false. Let and , then .Express (AB)(AB) in terms of unions and intersections that involve A,A,B,andB25. Prove that if and are integers and, then either or. (Hint: If, then either or, and similarly for. Consider for the various causes.)