in the problem, state the support S x of X (a) You roll two dice: one is blue and the other one is red. Both dice are six-sided with a positive probability on landing of each of their six sides. Let X...

(a)  You roll two dice: one is blue and the other one is red. Both dice are six-sided with a positive probability on landing of each of their six sides. Let X be the difference between the numbers you rolled on the blue and on the red dice (Hint: it is positive if the number rolled on the blue die is greater than the number rolled on the red die, and vice-versa it is negative).