Answer:
The probability that a senior is taking a gap year is 0.1.
Step-by-step 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 :
[tex]\frac{200-140-40}{200}[/tex]
= [tex]\frac{20}{200}[/tex] = 0.1