# Finite Mathematics

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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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