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. What is the probability that a senior is going directly to work?

Answer 1

0.2

Explanation:

The probability that a senior is going directly to work is:

`p(sw)=(w)/(s)`

where:

w is the number of seniors going directly to work

s is the total number of seniors in the school

In this problem, we have:

s = 200 is the number of seniors in the school

w = 40 is the number of seniors that will go directly to work

Therefore, the probability is:

`p(sw)=(40)/(200)=0.2`