In a school, 27% of the students failed in mathematics, 16% failed in physics and 9% failed both mathematics and physics. A student is selected at random, if the student failed in physics, what is the probability that the student failed in mathematics? What is the probability that the student failed mathematics or physics?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A. (a) In a school, 27% of the students failed in mathematics, 16% failed in physics and 9% failed both mathematics and physics. A student is selected at random, if the student failed in physics,
what is the probability that the student failed in mathematics? What is the probability that the student failed mathematics or physics? 


(b) The probability of guessing at least 8 out of 10 correct answers in a true or false examination is 764. Check the trustworthiness of the answer. 


(c) A television news director wishes to use three news stories on an evening show. One story will be the lead story, one will be the second story, and last will be the closing story. If the director has a total of 8 stories to choose from, how many possible ways can the program be set up?

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