Assume you roll two dice independently and let X the absolu

Assume you roll two dice (independently) and let X = the absolute value of the dierence of the two numbers, and Y = the minimum of the two numbers.

What is the joint p.m.f. of X and Y ?

Determine if X and Y are independent based on the denition of independence.

What is the conditional p.m.f. of Y given X = 3?

Solution

Assume you roll two dice (independently) and let X = the absolute value of the dierence of the two numbers, and Y = the minimum of the two numbers. What is the

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