Question
Roy surveyed 32 students at his school and found that 12 of them planned to take band as their next elective. What is the experimental probability that a randomly selected student plans to take band?
Write your answer as a fraction or whole number.
P(band)=
Write your answer as a fraction or whole number.
P(band)=
Answers
GPT-4o mini
To find the experimental probability \( P(\text{band}) \) that a randomly selected student plans to take band, you can use the formula for probability:
\[
P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}
\]
In this case, the number of favorable outcomes (students planning to take band) is 12, and the total number of outcomes (total students surveyed) is 32.
Thus, the probability \( P(\text{band}) \) is:
\[
P(\text{band}) = \frac{12}{32}
\]
Now simplify the fraction:
\[
P(\text{band}) = \frac{12 \div 4}{32 \div 4} = \frac{3}{8}
\]
Therefore, the experimental probability that a randomly selected student plans to take band is:
\[
P(\text{band}) = \frac{3}{8}
\]
\[
P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}
\]
In this case, the number of favorable outcomes (students planning to take band) is 12, and the total number of outcomes (total students surveyed) is 32.
Thus, the probability \( P(\text{band}) \) is:
\[
P(\text{band}) = \frac{12}{32}
\]
Now simplify the fraction:
\[
P(\text{band}) = \frac{12 \div 4}{32 \div 4} = \frac{3}{8}
\]
Therefore, the experimental probability that a randomly selected student plans to take band is:
\[
P(\text{band}) = \frac{3}{8}
\]