Question: A coin is tossed twice. Consider the following events. A: Heads on the first toss. B: Heads on the second toss. C: The two tosses

A coin is tossed twice. Consider the following events.
A: Heads on the first toss.
B: Heads on the second toss.
C: The two tosses come out the same.
(a) Show that A, B, C are pairwise independent but not independent.
(b) Show that C is independent of A and B but not of A∩B.

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