Two fair dice, one red and one blue are rolled. Let A be the event that the number rolled on the red die is odd. Let B be the event that the number rolled on the blue die is odd. Let C be the event that the sum of the numbers rolled on the two dice is odd. For each of the following statement, determine whether it is true:a. Exactly two of the three pairs are independent. b. A, B, and C are not mutually independent, but each pair is independent. c. No pair of the three events is independent. d. Exactly one pair of the three events in independent. e. A, B, and C are mutually independent.