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1. Two dice are tossed in a row. Let X be the outcome of the first...

1. Two dice are tossed in a row. Let X be the outcome of the first die, and let Y be the outcome of the second die. Let A be the event that X + Y ≤ 7, and let B be the event that X − Y ≥ 2.

(a) Find P(A).

(b) Find P(B).

(c) Find P(A ∩ B).

(d) Are A and B independent?

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