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
The total number of jelly beans is 6 + 6 + 5 = 17.
The probability of selecting a red jelly bean on the first draw is 6/17.
After selecting a red jelly bean, there are now 16 jelly beans left, with 5 green jelly beans. So the probability of selecting a green jelly bean on the second draw is 5/16.
To find the probability of both events happening, we multiply the probabilities:
(6/17) * (5/16) = 30/272
Therefore, the probability that one jelly bean is red and the other jelly bean is green is 30/272.