Question

A jar contains jelly beans. There are 6 red jelly beans, 6 blue jelly beans and 5 green jelly beans. You
randomly take two jelly beans out to eat. What is the probability that one jelly bean is red and the other
jelly bean is green? Write your answer as a fraction. You do not need to simplify.

Answer 1

The total number of jelly beans in the jar is 6 (red) + 6 (blue) + 5 (green) = 17.

The probability of picking a red jelly bean first is 6/17.
After picking the red jelly bean, there are now 16 total jelly beans left and 5 green jelly beans left.
So the probability of picking a green jelly bean second is 5/16.

Therefore, the overall probability of picking a red jelly bean first and a green jelly bean second is:
(6/17) * (5/16) = 30/272 = 15/136.

So the probability is 15/136.