In an examination 30% students have failed in mathematics, 20% of theštudents have failed in chemistry and 10% have failed in both mathematics and chemistry.A student is selected at random. What is the probability that () the student has failed inmathematics if it is known that he has failed in chemistry.(ii) What is the probability that the student has failed either in mathematics or chemistry ?

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Answered: In an examination 30% students have…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A classroom contains 10 girls and 8 boys. You need to randomly select some of the students for testing. You cannot select the same student twice.(a) What is the probability of randomly selecting a girl?(b) If you randomly selected two students, what is the probability of selecting two boys?(c) You randomly select three students. What is the probability that the third student you select is a girl, given the first two were boys?(d) What is the most likely outcome when randomly choosing two students: selecting two of the same gender (2 boys or 2 girls), or choosing a boy-girl pair? Explain your reasoning.
fifty five percent of US households say they would feel secure if they had $50000 in savings. You randomly select 8 household and I asked them if they would feel secure if they had $50,000 in savings. find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five
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Cheetahs account for 44% of big cats in zoos, with males accounting for 25%. . Also, 68% of the males are cheetah. A large cat is chosen at random. What is the probability that it is a male cheetah?
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