Constructed response 11

a random survey was conducted to gather information about age and employment status. this table shows the data that were collected.

what is the probability that a randomly selected person surveyed has a job, given that the person is less than 18 years old? explain your answer and show your work!

What is the probability that a randomly selected person surveyed has a job, given that the person is less than 18 years old?

Solution: Let S be the Total number of people and S = 944

Let A be the number of people who have job and A = 607

Let B be the number of people who are less than 18 years old and B = 265

Also the number of people who have job and are less than 18 years old (A and B) = 20

We have to find the conditional probability of a person has a job given the person is less than 18 years old.

Therefore, the probability that a randomly selected person surveyed has a job, given that the person is less than 18 years old is 0.0755