A jar contains jelly beans. There are
10
10 red jelly beans,
8
8 blue jelly beans and
10
10 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 28 (10 red + 8 blue + 10 green).
The probability of picking a blue jelly bean on the first draw is 8/28.
After picking a blue jelly bean on the first draw, there are 7 blue jelly beans left out of the remaining 27 jelly beans.
Thus, the probability of picking a blue jelly bean on the second draw, given that the first jelly bean was blue, is 7/27.
To find the total probability of picking two blue jelly beans in a row, we multiply the two probabilities:
(8/28) * (7/27) = 56/756
So, the probability of picking two blue jelly beans in a row is 56/756.