Question
A bag holds 3 blue marbles, 5 red marbles, and 2 green marbles. Find the probability of choosing a red marble and then a green marble with replacement.
Answers
GPT 3.5
When choosing a marble with replacement, it means that after each selection, the marble is put back into the bag.
The probability of choosing a red marble on the first draw is 5/10 (since there are 10 marbles in total).
After selecting a red marble, there are still 10 marbles in the bag, with 2 of them being green. Therefore, the probability of choosing a green marble on the second draw is 2/10.
To find the probability of both events happening, you multiply the probabilities:
(5/10) * (2/10) = 1/10
Therefore, the probability of choosing a red marble and then a green marble with replacement is 1/10.
The probability of choosing a red marble on the first draw is 5/10 (since there are 10 marbles in total).
After selecting a red marble, there are still 10 marbles in the bag, with 2 of them being green. Therefore, the probability of choosing a green marble on the second draw is 2/10.
To find the probability of both events happening, you multiply the probabilities:
(5/10) * (2/10) = 1/10
Therefore, the probability of choosing a red marble and then a green marble with replacement is 1/10.