Question

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.

Answer 1

The probability of pulling a green marble on the first draw is 5/19. Since we do not replace the marbles, the probability of pulling a green marble on the second draw is now 4/18 (since there are now 4 green marbles left out of a total of 18 marbles). Finally, the probability of pulling a green marble on the third draw is 3/17.

To find the probability that all three marbles are green, we multiply the probabilities of each draw together:

(5/19) * (4/18) * (3/17) = 60/5815

So the probability that all three marbles are green is 60/5815.