State whether the following two statements are true or false, by filling in the appropriate circle. You may assume that all events below have positive probabilities that are strictly less than 1. (a) (1 point) Suppose A B = B. Then A B = A True False (b) (1 point) If C and D are independent events with P (C) = 1/3 and P (D) = 1/2, then the probability that at least one of them occurs is 1/2 + 1/3. True False (c) (1 point) If P (A B) = P (A) + P (B) then A and B must be independent. True False (d) (1 point) Occasionally, we have events that have probability less than 0 to indicate that they are very rare, but not impossible