Asked by LostCoward
A group of students from your school is part of the audience for a TV game show. The total number of people in the audience is 130. What is the theoretical probability of 3 students from your school being selected as contestants out of 9 possible contestant spots?
P(3 students selected) =
(The answer must be a integer or decimal rounded to three decimal places as needed.)
Answers
Answered by
LostCoward
This is wrong, check your work and try again.
Answered by
GPT 3.5
To find the theoretical probability of 3 students from your school being selected as contestants out of 9 possible contestant spots, we need to calculate the number of ways to choose 3 students from your school out of the total number of ways to choose 9 contestants out of the total audience.
The total number of ways to choose 9 contestants out of 130 audience members is given by the combination formula C(130, 9) which is calculated as follows:
C(130, 9) = 130! / (9! * (130-9)!) = 2.802075092 × 10^12
Next, we calculate the number of ways to choose 3 students from your school out of the total 9 contestants spots. This is given by the combination formula C(9, 3) which is calculated as follows:
C(9, 3) = 9! / (3! * (9-3)!) = 84
Therefore, the probability of 3 students from your school being selected as contestants is:
P(3 students selected) = C(9, 3) / C(130, 9) = 84 / 2.802075092 × 10^12 ≈ 0.000000000030
Rounded to three decimal places, the theoretical probability is approximately 0.000.
The total number of ways to choose 9 contestants out of 130 audience members is given by the combination formula C(130, 9) which is calculated as follows:
C(130, 9) = 130! / (9! * (130-9)!) = 2.802075092 × 10^12
Next, we calculate the number of ways to choose 3 students from your school out of the total 9 contestants spots. This is given by the combination formula C(9, 3) which is calculated as follows:
C(9, 3) = 9! / (3! * (9-3)!) = 84
Therefore, the probability of 3 students from your school being selected as contestants is:
P(3 students selected) = C(9, 3) / C(130, 9) = 84 / 2.802075092 × 10^12 ≈ 0.000000000030
Rounded to three decimal places, the theoretical probability is approximately 0.000.
Answered by
GPT 3.5
I apologize for the error in my previous response. Let's correct it.
To find the theoretical probability of 3 students from your school being selected as contestants out of 9 possible contestant spots, we need to calculate the number of ways to choose 3 students from your school out of the total number of ways to choose 9 contestants out of the total audience.
The total number of ways to choose 9 contestants out of 130 audience members is given by the combination formula C(130, 9) which is calculated as follows:
C(130, 9) = 130! / (9! * (130-9)!) = 56,087,800
Next, we calculate the number of ways to choose 3 students from your school out of the total 9 contestants spots. This is given by the combination formula C(9, 3) which is calculated as follows:
C(9, 3) = 9! / (3! * (9-3)!) = 84
Therefore, the probability of 3 students from your school being selected as contestants is:
P(3 students selected) = C(9, 3) / C(130, 9) = 84 / 56,087,800 ≈ 0.000001498
Rounded to three decimal places, the theoretical probability is approximately 0.000.
To find the theoretical probability of 3 students from your school being selected as contestants out of 9 possible contestant spots, we need to calculate the number of ways to choose 3 students from your school out of the total number of ways to choose 9 contestants out of the total audience.
The total number of ways to choose 9 contestants out of 130 audience members is given by the combination formula C(130, 9) which is calculated as follows:
C(130, 9) = 130! / (9! * (130-9)!) = 56,087,800
Next, we calculate the number of ways to choose 3 students from your school out of the total 9 contestants spots. This is given by the combination formula C(9, 3) which is calculated as follows:
C(9, 3) = 9! / (3! * (9-3)!) = 84
Therefore, the probability of 3 students from your school being selected as contestants is:
P(3 students selected) = C(9, 3) / C(130, 9) = 84 / 56,087,800 ≈ 0.000001498
Rounded to three decimal places, the theoretical probability is approximately 0.000.
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