Question

A school has 200 seniors of whom 140 will be going to college next year. Forty will be going directly to work. The remainder are taking a gap year. Fifty of the seniors going to college play sports. Thirty of the seniors going directly to work play sports. Five of the seniors taking a gap year play sports. What is the probability that a senior is taking a gap year?

Answer 1

The probability that a senior is taking a gap year is 0.1.

Explanation:

A school has 200 seniors of whom 140 will be going to college next year. 40 will be going directly to work.

The remainder are taking a gap year.

50 of the seniors going to college play sports.

30 of the seniors going directly to work play sports.

5 of the seniors taking a gap year play sports.

The probability that a senior is taking a gap year is given by :

`(200-140-40)/(200)`

=
`(20)/(200)` = 0.1