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 as a fraction and simplify
The probability of pulling a green marble on the first draw is 5/19.
After pulling a green marble, there are now 4 green marbles out of 18 in the jar, so the probability of pulling another green marble on the second draw is 4/18.
After pulling two green marbles, there are now 3 green marbles out of 17 in the jar, so the probability of pulling a green marble on the third draw is 3/17.
To find the probability of all three events happening, we multiply the individual probabilities:
(5/19) * (4/18) * (3/17) = 60/(19*18*17) = 60/5784 = 5/482
Therefore, the probability of pulling all green marbles is 5/482.