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].

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].