Question

hat is the probability that the sum of two fair dice will be greater than 8, given that the first die is a 5? Write your answer as a fraction in its simplest form.

Answer 1

For the sum of the two dice to be greater than 8, given that the first die is a 5,

you can either roll a 4 OR 5 OR 6.

Therefore, the Probability of rolling a 4 OR 5 OR 6 =

$\frac{1}{6}\text{ + }\frac{1}{6}\text{ + }\frac{1}{6}\text{ = }\frac{3}{6}\text{ = }\frac{1}{2}$

Thanks!