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?

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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

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