A college library has four copies of a certain book; the copies are numbered 1, 2, 3, and 4. Two of these are selected at random. The first selected book is placed on 2-hr reserve, and the second book can be checked out overnight. (a) Construct a tree diagram to display the 12 outcomes in the sample space. (Do this on paper. Your instructor may ask you to turn in this sketch.) (b) Let A denote the event that at least one of the books selected is an even-numbered copy. What outcomes are in A? O {(1, 2), (1, 3), (1,4)} O {(2, 1), (2, 3), (2, 4)) O {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (3, 1), (3, 2), (3, 4), (4, 1), (4,3)} O {(1, 2), (1, 4), (2, 1), (2, 3), (2, 4), (3, 2), (3, 4), (4, 1), (4,2), (4,3)} O {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4)) (c) Suppose that copies 1 and 2 are hardcover books, whereas copies 3 and are softcover books. Let B denote the event that exactly one of the copies selected is a hardcover book. What outcomes are contained in B? O {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2,4)} O {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 2), (4, 1), (4, 2)} O {(2, 1), (2, 3), (2, 4)} O {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4,3)} O {(1, 2), (1, 3), (1,4)}