# Question

Suppose two events A and B are independent.

(a) Is it true that A is independent of ? If yes, give a convincing proof, otherwise, give a counterexample.

(b) Is it true that Ā is independent of ? If yes, give a convincing proof, otherwise, give a counterexample.

(a) Is it true that A is independent of ? If yes, give a convincing proof, otherwise, give a counterexample.

(b) Is it true that Ā is independent of ? If yes, give a convincing proof, otherwise, give a counterexample.

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