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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