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Chapter 3: Q3.16 (page 191)

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?

Short Answer

Expert verified

Probability that a senior is taking a gap year = 1 / 10

Step by step solution

01

Given Information 

Total 200 students

140 going to college & 50 among these play sports ; 40 going to work & 30 of these play sports

  • Remaining ie 200 - 140 - 40 = 20 taking a gap & 5 among them play sports
02

Numerical Solution 

Probability that a senior is taking a gap =

Number of seniors taking gap / Total number of seniors

= 20 / 200

= 1/10

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