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 all three pulls are green is?
The probability that the first pull is green is 5/19.
After the first pull, there are 18 marbles left, with 4 green marbles remaining. So the probability that the second pull is green is 4/18.
After the second pull, there are 17 marbles left, with 3 green marbles remaining. So the probability that the third pull is green is 3/17.
To find the probability that all three pulls are green, multiply the probabilities of each individual event:
(5/19) * (4/18) * (3/17) = 60/587
Therefore, the probability that all three pulls are green is 60/587.