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?

As a fraction

1 answer

The probability that the first marble drawn is green is 5/19. Since marbles are drawn without replacement, the probability that the second marble drawn is green is 4/18 (as one green marble has already been drawn). Similarly, the probability that the third marble drawn is green is 3/17.

Therefore, the probability that all 3 marbles drawn are green is (5/19) * (4/18) * (3/17) = 60/5813.

So, the probability that all 3 marbles drawn are green as a fraction is 60/5813.