A jar contains jelly beans. There are 7 red jelly beans, 7 blue jelly beans and 9 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 in the jar is 7 + 7 + 9 = 23.
The probability of picking a blue jelly bean on the first draw is 7/23.
After picking a blue jelly bean on the first draw, there are 6 blue jelly beans left out of 22 total jelly beans.
Therefore, the probability of picking a blue jelly bean on the second draw given that the first jelly bean was blue is 6/22.
So, the probability of picking two blue jelly beans in a row is (7/23) * (6/22).
Answer: 42/506