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An urn contains three white, six red, and five black balls. Six of these balls are randomly selected from the urn. Let X and Y denote respectively...

An urn contains three white, six red, and five black balls. Six of these balls are
randomly selected from the urn. Let X and Y denote respectively the number of
white and black balls selected. Compute the conditional probability mass function
of X given that Y = 3. Also compute E[X|Y = 1].

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