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An urn contains 12 marbles of which 5 are red, 4 are green and 3 are blue. 6 marbles are randomly selected from the urn

An urn contains 12 marbles of which 5 are red, 4 are green and 3 are blue. 6 marbles are randomly selected from the urn without replacement.

(a) Calculate the probability that exactly 4 of the selected marbles are red.

(b) Calculate the expected number of blue marbles that are selected.

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