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Q3.18

Expert-verified
Found in: Page 192

### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

# 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 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

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