PROBLEM 4 (Awkward Tiles). One letter is randomly picked from a Scrabble bag, which only contains the letters j, q, x, and 2. Let A be the event that j or q is drawn, let B be the event that j or x is drawn, let C be the event that j or z is drawn, and let D be the event that q or z is drawn. (a) Are B, C, and D pairwise independent? (b) Are B, C, and D mutually independent? (c) Are A, B, and C pairwise independent? (d) Are A, B, and C mutually independent