A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?

0.027 to the nearest thousandth.

Step-by-step explanation:

There are 14 marbles in the bag, so:

Prob (a blue on the first draw) = 5/14.

Prob (a blue on the 2nd draw) = 4/13.

Prob (a blue on the 3rd draw) = 3/12 = 1/4.

So the required probability is 5/14 * 4/13 * 1/4

= 20 / 728

= 0.02747.