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Q3.18

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Introductory Statistics

Found in: Page 192

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

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?

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 : Given Information

Total $200$ students

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

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

Step 2 : 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

$= Seniors going to college & playing sports / total seniors = \frac{50}{200} = \frac{1}{4}$

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