Answer:
-5,-4,-3,-2,-1,0,1,2,3,4,5
Step-by-step explanation:
The sample space for the two balanced dice, a red die, and a green die is given below in the pair (G,R)
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
For each pair, Y=G-R is presented below:
0 -1 -2 -3 -4 -5
1 (2,2) (2,3) (2,4) (2,5) (2,6)
2 (3,2) (3,3) (3,4) (3,5) (3,6)
3 (4,2) (4,3) (4,4) (4,5) (4,6)
4 (5,2) (5,3) (5,4) (5,5) (5,6)
5 (6,2) (6,3) (6,4) (6,5) (6,6)
The first column and row is representative of the values which will be obtained throughout the table.
Therefore, the possible values of the random variable Y are:
-5,-4,-3,-2,-1,0,1,2,3,4,5
