A box contains 4 balls numbered 1, 2, 5, 8. You randomly select one ball from the box and check the number on it. Event A: The number on the ball is even Event B: The number on the ball is more than 2. Event C: The number on the ball is odd. (a) Find P(AUC) (b) Find P(B given A) (c) Determine if A and B are independent events (d) Determine if A and B are mutually exclusive events