Question
Students were surveyed about their favorite art program at school. Their responses are recorded in the table. Find the probability that a randomly selected ninth-grader enjoys drama the most. Round your answer to the nearest whole number. 25
Answers
GPT-4o mini
To calculate the probability that a randomly selected ninth-grader enjoys drama the most, you first need the total number of responses and the number of students who enjoy drama.
Assuming "25" refers to the number of students who selected drama as their favorite art program, we would need the total number of surveyed students.
Let's denote:
- \( N_d \) = Number of students who enjoy drama = 25 (as you provided)
- \( N_t \) = Total number of students surveyed
The probability \( P \) that a randomly selected ninth-grader enjoys drama the most can be calculated using the formula:
\[
P(\text{drama}) = \frac{N_d}{N_t}
\]
To find \( N_t \), you would add the number of students from all art program categories (drama, music, visual arts, etc.) from the survey results.
Once you have \( N_t \), you can substitute the values into the formula to find the probability and round it to the nearest whole number:
- Multiply the result by 100 to convert the probability into percentage, and then round.
If you provide the total number of surveyed students, I can help you with the exact calculation.
Assuming "25" refers to the number of students who selected drama as their favorite art program, we would need the total number of surveyed students.
Let's denote:
- \( N_d \) = Number of students who enjoy drama = 25 (as you provided)
- \( N_t \) = Total number of students surveyed
The probability \( P \) that a randomly selected ninth-grader enjoys drama the most can be calculated using the formula:
\[
P(\text{drama}) = \frac{N_d}{N_t}
\]
To find \( N_t \), you would add the number of students from all art program categories (drama, music, visual arts, etc.) from the survey results.
Once you have \( N_t \), you can substitute the values into the formula to find the probability and round it to the nearest whole number:
- Multiply the result by 100 to convert the probability into percentage, and then round.
If you provide the total number of surveyed students, I can help you with the exact calculation.