A bag contains 4 red marbles, 6 blue marbles and 7 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 green?

Step-by-step explanation:

Total marble = 4+6+7 = 17

Number of green = 7

Prob (1st green) = 7/17

Now their are 6 green left and 16 marble

Prob (2nd green) = 6/16 = 3/8

Now their are 5 green left and 15 marble

Prob (3rd green) = 5/15 = 1/3

Prob (1st and 2nd and 3rd green) will be = 7/17 * 3/8 * 1/3

= 7 / (17*8)

= 7/136