Question
A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are replaced.
Answers
GPT 3.5
The probability of choosing a red marble on the first draw is 3/10, as there are 3 red marbles out of a total of 10 marbles.
Since the marbles are replaced after each draw, the probability of choosing a white marble on the second draw is 4/10, as there are still 4 white marbles out of a total of 10 marbles (one of which is now white from the first draw).
Therefore, the overall probability of choosing a red marble followed by a white marble if the marbles are replaced is:
(3/10) * (4/10) = 12/100 = 3/25
So the probability of choosing a red marble, then a white marble if the marbles are replaced is 3/25.
Since the marbles are replaced after each draw, the probability of choosing a white marble on the second draw is 4/10, as there are still 4 white marbles out of a total of 10 marbles (one of which is now white from the first draw).
Therefore, the overall probability of choosing a red marble followed by a white marble if the marbles are replaced is:
(3/10) * (4/10) = 12/100 = 3/25
So the probability of choosing a red marble, then a white marble if the marbles are replaced is 3/25.