The number of marbles of different colors stored in a hat is listed below:

4 red marbles
10 green marbles
7 blue marbles
Without looking in the hat, Dan takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that Dan takes out a blue marble in both draws fraction 2 over 21

fraction 1 over 9

fraction 1 over 2

fraction 2 over 3

1 answer

The probability of Dan taking out a blue marble on the first draw is 7/21. Since he replaces the marble after the first draw, the probability of him taking out a blue marble on the second draw is also 7/21.

Therefore, the probability that Dan takes out a blue marble in both draws is (7/21) * (7/21) = 49/441 = 1/9.

So, the correct answer is fraction 1 over 9.