A bag contains 8 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 red?

Answer 1

There are 13 marbles in the bag, and 8 of them are red.

The probability of drawing a red marble on the first draw is 8/13.

After the first red marble is drawn, there are 7 red marbles left out of 12 total marbles.

So the probability of drawing a second red marble is 7/12.

To find the probability of both events happening, we need to multiply the probabilities:

(8/13) x (7/12) = 56/156

Simplifying:

56/156 = 14/39

Therefore, the exact probability of drawing two red marbles out of the bag is 14/39.