Joint probability mass function


Two dice are tossed. Let X be the smaller number of points. Let Y be the larger number of points. If both dice show the same number, say, z points, then X = Y = z.

(a) Find the joint probability mass function of (X, Y).

(b) Are X and Y independent? Explain.

(c) Find the probability mass function of X. (d) If X = 2, what is the probability that Y = 5?

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Basic Statistics: Joint probability mass function
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