Question: Show that if A, B, and C are mutually independent, then the following pairs of events are independent: A and (B C), A and

Show that if A, B, and C are mutually independent, then the following pairs of events are independent: A and (B ∩ C), A and (B ∪ C), A’ and (B ∩ C’). Show also that A’, B’, and C’ are mutually independent.

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