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

0.033

Step-by-step explanation:

There are a total of 14 marbles.

On the first draw, the probability of a red marble is 3/14.

There's now 13 marbles left, 2 of which are red. On the second draw, the probability of a red marble is 2/13.

The total probability is:

P = 3/14 * 2/13

P = 3/91

P ≈ 0.033