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Probability Practice Challenge

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Quick probability questions

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Probability Practice Challenge
 

Probability Practice ChallengeOnline version

Quick probability questions

by Aimee Argueta
1

A fair die is rolled. What is the probability of rolling an even number?

2

A company must assign 3 different positions (CEO, CFO, COO) from 6 candidates. How many different ways can this be done?

3

From the same 6 candidates, how many different 3-person committees can be formed?

4

A product can be produced in 2 sizes and 3 colors. How many possible product variations exist?

5

If P(A)=0.6, P(B)=0.5, and P(A ∩ B)=0.3, are A and B independent?

6

In a class of 200 students: 120 business majors, 80 engineering majors, 50 business majors are female, 20 engineering majors are female. Probability a random student is female?

7

Using the same data, probability a student is female given the student is a business major?

8

Using the same data, probability a student is a business major given the student is female?

9

An email spam filter: 20% spam, 90% catch when spam, 5% false flag when not spam. Probability email is spam AND caught?

10

Overall probability an email is flagged?

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