A jar has 19 marbles and 5 of them are green. You pull 3 marbles without replacement. What is the probability that all are green? Write your answer as a fraction. You do not need to simplify.
The probability that the first marble pulled is green is 5/19.
After pulling a green marble, there are now 4 green marbles left and 18 marbles in total.
So, the probability that the second marble pulled is green is 4/18.
After pulling 2 green marbles, there are now 3 green marbles left and 17 marbles in total.
So, the probability that the third marble pulled is green is 3/17.
Therefore, the probability that all 3 marbles pulled are green is:
(5/19) * (4/18) * (3/17) = 60/581.