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5. A fair coin is tossed twice randomly. Consider the following events A: Head on the rst toss. B: Head on the second toss.. C:

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5. A fair coin is tossed twice randomly. Consider the following events A: Head on the rst toss. B: Head on the second toss.. C: The two tosses have the same outcome. (a) Show that A, B and C are pairwise independent but not independent. (b) Show that C is independent of A and B but not A n B

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