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Gloria took a survey of high school students to see how many had part-time jobs last summer. The results of the survey are shown in the table. Compare the probability that a student in the senior class had a part-time job to the probability that a student in the freshman class had a part-time job.


A senior is less likely than a freshman to have a job.
A senior is just as likely as a freshman to have a job.
A senior is more likely than a freshman to have a job.

Gloria Took A Survey Of High School Students To See How Many Had Parttime Jobs Last Summer The Results Of The Survey Are Shown In The Table Compare The Probabil class=

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Answer:

A senior is less likely than a freshman to have a job.

Step-by-step explanation:

To calculate which class is more likely to have a job, we have to find the probability of a random student in each class having a summer job. We can compare the probabilities and whichever on is greater is the class that is more likely to have a job.

Solving:

[tex]\begin{itemize} \item Freshmen: 25 out of 39 students had a part-time job. \item Seniors: 11 out of 42 students had a part-time job.\end{itemize}[/tex]

[tex]\[\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\][/tex]

[tex]\subsection*{Probability that a freshman had a part-time job}\[P(\text{Freshman}) = \frac{25}{39}\]\subsection*{Probability that a senior had a part-time job}\[P(\text{Senior}) = \frac{11}{42}\]Comparing:\[P(\text{Freshman}) = \frac{25}{39} \approx \boxed{0.641}\]\[P(\text{Senior}) = \frac{11}{42} \approx \boxed{0.262}\][/tex]

Since the probability that a freshman has a job is greater than a senior, the correct answer choice is:

  • A senior is less likely than a freshman to have a job.
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