3. A fair green die and a fair red die are tossed together. Let X denote the number of spots showing on the green die and Y denote the number of spots showing on the red die. Find the probability mass function for: (a) the sum of the spots showing on the two dices, X + Y. (b) the number of spots showing on the green die minus the number of spots showing on the red die, X Y. (c) the difference between the spots showing on the two dice, |X Y|. (d) the maximum number of spots showing on a single die, max {X , Y}. (6) the minimum number of Spots showing on a Single die, min {X , Y}