Probability Practice Challenge

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Quick probability questions

Aimee Argueta

United States

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Probability Practice Challenge


Probability Practice ChallengeVersion en ligne Quick probability questions par Aimee Argueta 1 A fair die is rolled. What is the probability of rolling an even number? a 3/4 b 1/3 c 2/3 d 1/2 2 A company must assign 3 different positions (CEO, CFO, COO) from 6 candidates. How many different ways can this be done? a 60 b 120 c 30 d 720 3 From the same 6 candidates, how many different 3-person committees can be formed? a 20 b 60 c 10 d 15 4 A product can be produced in 2 sizes and 3 colors. How many possible product variations exist? a 9 b 8 c 5 d 6 5 If P(A)=0.6, P(B)=0.5, and P(A ∩ B)=0.3, are A and B independent? a Yes, since P(A)P(B)=P(A∩B) b No, because P(A∩B)≠P(A)P(B) c Only independent if P(A∪B)=0.6+0.5-0.3 d Not enough information 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? a 0.45 b 0.35 c 0.75 d 0.25 7 Using the same data, probability a student is female given the student is a business major? a 0.250 b 0.500 c 0.333 d 0.417 8 Using the same data, probability a student is a business major given the student is female? a 0.800 b 0.500 c 0.600 d 0.714 9 An email spam filter: 20% spam, 90% catch when spam, 5% false flag when not spam. Probability email is spam AND caught? a 0.02 b 0.09 c 0.20 d 0.18 10 Overall probability an email is flagged? a 0.22 b 0.18 c 0.12 d 0.28