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7. Independence Day [12 points] Suppose A and B are two independent events. Prove that A and B are independent using the definition of
7. Independence Day [12 points] Suppose A and B are two independent events. Prove that A and B are independent using the definition of independence. You can use the following fact, which generalizes inclusion-exclusion to probability, without proof: If X and Y are events, then P(XUY) = P(X) + P(Y) P(X NY).
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