A bag contains 8 red marbles, 3 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 red?

0.082

Step-by-step explanation:

There are a total of 17 marbles, 8 of which are red.

The probability that the first marble is red is 8/17.

The probability that the second marble is red is 7/16.

The probability that the third marble is red is 6/15.

Therefore, the probability that all three marbles are red is:

P = 8/17 * 7/16 * 6/15

P = 7/85

P = 0.082