Two dice are rolled. Let the random variable X denote the number that falls uppermost on the first die and let Y denote the number that falls uppermost on the second die.
(a) Find the probability distributions of X and Y.
(b) Find the probability distribution of X + Y.
x + y 2 3 4 5 6 7
P(X + Y = x + y)
x + y 8 9 10 11 12
P(X + Y = x + y)
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