Question: I toss a fair die twice, and obtain two numbers X and Y . Let A be the event that X = 2, B be

I toss a fair die twice, and obtain two numbers X and Y . Let A be the event that X = 2, B be the event that X +Y = 7, and C be the event that Y = 3.

a. Are A and B independent?

b. Are A and C independent?

c. Are B and C independent?

d. Are A, B, and C are independent?

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