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A fair die (with numbers 1, 2, 3, 4, 5, 6) is rolled. If the number n comes up, you are dealt n cards out

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A fair die (with numbers 1, 2, 3, 4, 5, 6) is rolled. If the number n comes up, you are dealt n cards out of a standard 52-card deck. What is the probability of obtaining at least 5 cards of rank at least 9? (Define rank of at least 9 to be 9, 10, jack, queen, king, or ace.)

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