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?
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.