Suppose that two balanced dice, a red die and a green die, are rolled. Let Y denote opresents the number on the green die and R represents the wo balanced dice are rolled, 36 equally likely 15) Show all work for the following problem. 15) (25 pts) Suppose that two balanced dice, a red die and a green die an the sum G R where G represents the number on the number on the red die. (Hint: When two balanced dice are rolled, 36 outcomes are possible as shown in problem 2).

(1) Can Y=97 Yes or No If yes, please list all the possible outcom Y-9 and find the probability P(Y=9). list all the possible outcomes in the event
(2) What are the possible values of the random variable Y?