A jar contains jelly beans. There are
3
3 red jelly beans,
5
5 blue jelly beans and
5
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.
The total number of jelly beans in the jar is 3 red + 5 blue + 5 green = 13 jelly beans.
The probability of picking a red jelly bean first is 3/13
The probability of picking a green jelly bean second is 5/12 (since there are now only 12 jelly beans left in the jar)
Therefore, the probability of picking one red jelly bean and one green jelly bean is (3/13) * (5/12) = 15/156 = 5/52.
So the probability is 5/52.