On a recent Saturday, a total of 1086 people visited a local library. Of these people, 269 were under age 10, 466 were aged 10-18, 185 were aged 19-30, and the rest were more than 30 years old. One person is sampled at random. What is the probability that the person is more than 30 years old?

Question

Tiffany Downs

Mathematics

Yesterday, 23:48

On a recent Saturday, a total of 1086 people visited a local library. Of these people, 269 were under age 10, 466 were aged 10-18, 185 were aged 19-30, and the rest were more than 30 years old. One person is sampled at random. What is the probability that the person is more than 30 years old?

+5

Answers (1)

Know the Answer?

Ahmad Alexander · Answer 1

The probability that the person is more than 30 years old is 0.153

Step-by-step explanation:

We can obtain the probability that the person sampled is more than 30 years old by dividing the amount of peope with more than 30 years old with the total amount of people that visited the library that Saturday, in other owrds, 1086.

The number of people with more than 30 years old can be obtained by substracting from 1086 (the total amount) the total amount of people with 30 years or less.

There are 269 (under 10) + 466 (between 10 and 18) + 185 (between 19 and 30) = 920 people under 30 years old. Therefore, the total amount of people with more than 30 years old is 1086-920 = 166, and the probability that a person selected is from that group is 166/1086 = 0.153