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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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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