A jar contains jelly beans. There are
8
8 red jelly beans,
6
6 blue jelly beans and
8
8 green jelly beans. You randomly take two jelly beans out to eat. What is the probability that both are blue? Write your answer as a fraction. You do not need to simplify.
The total number of jelly beans is:
8 red + 6 blue + 8 green = 22
The probability of choosing a blue jelly bean on the first pick is:
6 blue / 22 = 3/11
After choosing one blue jelly bean, there are now 5 blue jelly beans left and 21 total jelly beans.
So the probability of choosing a second blue jelly bean is:
5 blue / 21 total = 5/21
Therefore, the probability of choosing two blue jelly beans in a row is:
(3/11) * (5/21) = 15/231 = 5/77