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 of pulling a green marble on the first draw is 5/19.
After the first green marble is drawn, there are 18 marbles left in the jar and 4 green marbles left.
So the probability of pulling a green marble on the second draw is 4/18 = 2/9.
After the second green marble is drawn, there are 17 marbles left in the jar and 3 green marbles left.
So the probability of pulling a green marble on the third draw is 3/17.
Therefore, the probability of pulling 3 green marbles in a row is (5/19) * (2/9) * (3/17) = 30/2922.