A bag contains 5 red marbles, 7 blue marbles and 2 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)