Question

Victor 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 theprobability that a student in the sophomore class had a part-time job to the probability that a student in the junior class had a part-time job.

Answer 1

Answer:

A sophomore is less likely than a Junior to have a job.

Explanation:

Given the table in the attached image.

The total number of sophomores is

$35$

The number of sophomores with a job is;

$12$

The probability that a sophomore had a job is;

$P_S=\frac{12}{35}$

The total number of Juniors is

$37$

The number of Juniors with a job is;

$27$

The probability that a Junior had a job is;

$P_J=\frac{27}{37}$

From the derived Probability, we can observe that the probability that a Junior had a job is greater than the probability that a Sophomore had a job.

$P_J>P_S$

Therefore, A sophomore is less likely than a Junior to have a job.