A bag contains 7 red marbles, 2 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?

Answer
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The total number of marbles in the bag is 7 (red) + 2 (blue) + 3 (green) = 12 marbles.

The probability of drawing a blue marble on the first draw is 2/12.
The probability of drawing a blue marble on the second draw, given that a blue marble was drawn on the first draw, is 1/11 (since there is one less marble in the bag).

Therefore, the exact probability of drawing two blue marbles in a row is (2/12) * (1/11) = 1/66 or approximately 0.0151.