Question
A bag contains 4 red marbles, 8 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 red?
Answers
GPT 3.5
First, we need to find the total number of marbles in the bag, which is 4 + 8 + 2 = 14 marbles.
The probability of drawing a red marble on the first draw is 4/14, since there are 4 red marbles out of a total of 14 marbles.
After drawing a red marble, there are now 3 red marbles left out of a total of 13 marbles.
Therefore, the probability of drawing another red marble on the second draw is 3/13.
To find the probability of both events happening, we multiply the probabilities:
(4/14) * (3/13) = 12/182 = 6/91
Therefore, the exact probability that both marbles drawn will be red is 6/91.
The probability of drawing a red marble on the first draw is 4/14, since there are 4 red marbles out of a total of 14 marbles.
After drawing a red marble, there are now 3 red marbles left out of a total of 13 marbles.
Therefore, the probability of drawing another red marble on the second draw is 3/13.
To find the probability of both events happening, we multiply the probabilities:
(4/14) * (3/13) = 12/182 = 6/91
Therefore, the exact probability that both marbles drawn will be red is 6/91.