Suppose that a drawer contains 8 marbles: 2 are red, 2 are blue,
2 are green, and 2 are yellow. The marbles are rolling around in a
drawer, so that all possibilities are equally likely when they are
drawn. Alice chooses 2 marbles without replacement, and then Bob
also chooses 2 marbles without replacement. Let Y denote the number
of red marbles that Alice gets, and let X denote the number of red
marbles that Bob gets.
a. Find probability...