Two fair dice are rolled and the absolute value of the difference of the numbers

Question

Two fair dice are rolled and the absolute value of the difference of the numbers on each die is given by the random variable X. Describe the random variable X.

You must describe the random variable X by

(a) listing the sample space S which is the domain of the random variable X, along with its probability measure P;

(b) listing the values in Range(X);

(c) giving the probability mass function p by listing the values p(x) for each x in Range(X); and

(d) providing an illustration of the distribution (the PMF)

Explanation / Answer

Two fair dice are rolled and the absolute value of the difference of the numbers

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