A bag contains 5 red marbles, 8 blue marbles and 4 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?

I would say it would be

C(8,3) / C(17,3)
= 56/680
= 7/85
= appr .082

or

prob(of your stated event)
= (8/17)(7/16)(6/15)
= 336/4080
= 7/85