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Determine the probability that exactly k envelopes will contain a card with a matching color (k = 0, 1,..., 10). Question : 10SE - Suppose that 10 cards, of which five are red and five are green, are put at random into 10 envelopes, of which seven are red and three are green, so that each envelope contains one card. Determine the probability that exactly k envelopes will contain a card with a matching color (k = 0, 1,..., 10). Question : 11SE - Suppose that the events A and B are disjoint. Under what conditions are Ac and Bc disjoint? Question : 12SE - Let A1, A2, and A3 be three arbitrary events. Show that the probability that exactly one of these three events will occur is Pr(A1) + Pr(A2) + Pr(A3) ? 2 Pr(A1 ? A2) ? 2 Pr(A1 ? A3) ? 2 Pr(A2 ? A3) + 3 Pr(A1 ? A2 ? A3). Question : 13SE - Let A1,...,An be n arbitrary events. 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