If A and B are mutually exclusive, then P(A B) = 0. A and B are independent if and only if P(A B) = P(A)P(B) If A and B are two events with P(A) = 0.4, P(B) = 0.2, and P(A B) = 0.5. Find the following: (a) P(A B) (b) P(A? B) (c) P(A? B?) (d) P(A|B) If A and B are independent events with P(A) = 0.4 and P(B) = 0.2. Find the following: (a) P(A B) (b) P(A? B) (c) P(A? B?) (d) P(A|B) If A and B are mutually exclusive events with P(A) = 0.4 and P(B) = 0.2. Find the following: (a) P(A B) (b) P(A? B) (c) P(A? B?) (d) P(A|B) Roll a die once. The event of getting a "2" and the event of getting a "5" are (a) independent; (b) mutually exclusive; (c) Neither Roll a die twice. The event of getting a "2" on the first roll and the event of getting a "5" on the second roll are (a) independent; (b) mutually exclusive; (c) Neither h