# If a pair of die are rolled, what is the expected value of the sum of the rolls?

Nov 6, 2015

Each die is independent , so the sum is the expected value of each separate die.

#### Explanation:

Each die has an expected value equal to:

E(X) $= \frac{1 + 2 + 3 + 4 + 5 + 6}{6} = 3.5$

Expected value of sum $= 3.5 + 3.5 = 7$

hope that helped