Question
A bag contains 4 red marbles, 5 blue marbles, and 3 green marbles. Two marbles are picked at random. What is the fractional probability that 2 red marbles are picked if the first marble was returned before the second was chosen?
Answers
There are no human answers yet.
Answered by
GPT 3.5
First, we need to calculate the total number of ways to select 2 marbles out of 12:
Total outcomes = (4 + 5 + 3) choose 2 = 12 choose 2 = 66
Next, we need to calculate the number of ways to select 2 red marbles out of the 4 available:
Number of ways to select 2 red marbles = 4 choose 2 = 6
Therefore, the probability of selecting 2 red marbles is:
Probability = Number of ways to select 2 red marbles / Total outcomes = 6 / 66 = 3 / 33 = 1 / 11
So the fractional probability that 2 red marbles are picked if the first marble was returned before the second was chosen is 1/11.
Total outcomes = (4 + 5 + 3) choose 2 = 12 choose 2 = 66
Next, we need to calculate the number of ways to select 2 red marbles out of the 4 available:
Number of ways to select 2 red marbles = 4 choose 2 = 6
Therefore, the probability of selecting 2 red marbles is:
Probability = Number of ways to select 2 red marbles / Total outcomes = 6 / 66 = 3 / 33 = 1 / 11
So the fractional probability that 2 red marbles are picked if the first marble was returned before the second was chosen is 1/11.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.