Let a random experiment be the casting of a pair of fair six-sided dice and let X equal the minimum of the two outcomes .

Question

the problem is I am suffering a lot in my journey,I cant even determine where I must start solve mathematical problems:

Let a random experiment be the casting of a pair of fair six-sided dice and let X equal the minimum of the two outcomes .

(a) With reasonable assumptions , find the pmf of X .

(c) Let Y equal the range of the two outcomes (i.e., the absolute value of the difference of the largest and the smallest outcomes). Determine the pmf g(y) of Y for y = 0, 1, 2, 3, 4, 5.

Answer 1

I think I have found the answer : sample space for each value and its repetition :

$\{1: 11, 2: 9, 3: 7, 4: 5, 5: 3, 6: 1\}$ and the $f(x) =(13-2x)/36$ hope anyone looking for this problem, finds my solution helpful