A bag contains 3 red marbles, 7 blue marbles and 5 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 blue?

0.218

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event / Total outcome

If a bag contains 3 red marbles, 7 blue marbles and 5 green marbles, the total number of marbles in the bag will be the total outcome i. e 3+7+5 = 15

If two blue marbles are drawn, the expected outcome in both cases is 7 since there are 7 blue marbles in the bag.

Probability of drawing the first blue marble = 7/15

Probability of drawing the second blue marble = 7/15

Probability that both marbles drawn will be blue = 7/15*7/15

= 49/225

= 0.218 (to nearest 1000th)