A bag contains 4 red marbles, 6 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?

Answer 1

The total number of marbles in the bag is 4 + 6 + 2 = 12.

The probability of drawing a blue marble on the first draw is 6/12 = 1/2.
After drawing a blue marble, there will be 5 blue marbles and 11 total marbles left in the bag.

The probability of drawing another blue marble on the second draw is 5/11.

Therefore, the probability of drawing two blue marbles in a row is:
(1/2) * (5/11) = 5/22

So, the exact probability that both marbles drawn will be blue is 5/22.