8. Consider two independent tosses of a fair coin. Let A be the event that the first...

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8. Consider two independent tosses of a fair coin. Let A be the event that the first toss lands heads, let B be the event that the second toss lands heads, and let C be the event that both land on the same side. Show that the events A, B, C are pairwise independent - that is, A and B are independent, A and C are independent, and B and C are independent - but not independent.

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