Determine the probability that exactly k envelopes will, Basic Statistics

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Determine the probability that exactly k envelopes will

Suppose that 10 cards. of which 5 are red and 5 are green. are put at random into 10 envelopes, of which 7 are red and 3 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).

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