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Chapter 3: Q3.18 (page 192)

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 going to college and plays sports?

Short Answer

Expert verified

Probability that senior goes to college & plays sports = 1 / 4

Step by step solution

01

Given Information

Total 200students

localid="1650302556929" 140going to college & 50among these play sports ; 40going to work & localid="1650302575847" 30of these play sports

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

Formula & Numerical Solution 

Probability is the likelihood of an event, calculated as follow:

favorable outcomes / total outcomes

Probability that a senior is going to college and plays sports

=Seniorsgoingtocollege&playingsports/totalseniors=50200=14

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