1. Answer the following statements TRUE or FALSE, providing a succinct explanation of your reasoning. (a) If the odds in favor of A are 3:5 then P(A) = 0.4. (b) You roll two fair three-sided dice. The probability the two dice show the same number is 1/3. (c) If events A and B are independent and P(A) > 0 and P(B) > 0, then P(A and B) > 0. (d) If two events A and B are independent and P(A) > 0 and P(B) > 0, then A and B cannot be mutually exclusive. (e) IfP(A and B) 2 0.4 then P(A) S 0.40. (f) If two random variables have non-zero correlation, then they must be dependent