# Finite Mathematics

posted by
**Price** on
.

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)