# Suppose you roll a pair of fair 6-sided dice 36 times. What is the exact probability of getting at least three 9’s?

##### 1 Answer

Jul 18, 2018

#### Explanation:

We can find this by using binomial probability:

Let's look at the rolls possible in rolling two dice:

There are 4 ways to get a 9 out of 36 possibilities, giving

We roll the dice 36 times, giving

We're interested in the probability of getting exactly three 9's, which gives

This gives: