1. Correct. The answer is true.
Sample points for the possible sums of the grade points are given in the following table:
Second minerals set 
1, 6 
2, 6 
3, 6 
4, 6 
5, 6 
6, 6 
1, 5 
2, 5 
3, 5 
4, 5 
5, 5 
6, 5 

1, 4 
2, 4 
3, 4 
4, 4 
5,4 
6, 4 

1, 3 
2, 3 
3, 3 
4, 3 
5, 3 
6, 3 

1, 2 
2, 2 
3, 2 
4, 2 
5, 2 
6, 2 

1, 1 
2, 1 
3, 1 
4, 1 
5, 1 
6, 1 


First minerals set 
Then, the random variable X is given by the sum of the coordinates for each point. Thus for (1,3) we have X=4. Using the fact that all 36 sample points are equally probable, so that each sample point has probability of 1/36, we obtain the following table. For example, corresponding X =4 we have three sample points (1,3), (2,2), (3,1), so that the associated probability is 3/36=1/12.
X 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
f(x) 
1/36 
2/36 
3/36 
4/36 
5/36 
6/36 
5/36 
4/36 
3/26 
2/36 
1/36 