There are 500 students in a certain school. 150 students are enrolled in an Algebra course and 80 students are enrolled in a Chemistry course. There are 30 students who are taking both Algebra and Chemistry. If a student is chosen at random: (i) What is the probability that the student is taking Algebra? (ii) What is the probability that the student is taking Chemistry, given that the student is also taking Algebra? (iii) What is the probability that the student is taking Algebra, given that the student is also taking Chemistry?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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There are 500 students in a certain school. 150 students are enrolled in an Algebra course and 80 students are enrolled in a Chemistry course. There are 30 students who are taking both Algebra and Chemistry. If a student is chosen at random: (i) What is the probability that the student is taking Algebra? (ii) What is the probability that the student is taking Chemistry, given that the student is also taking Algebra? (iii) What is the probability that the student is taking Algebra, given that the student is also taking Chemistry?

 
0.2; 0.3; 0.375
0.3; 0.2; 0.375
0.25; 0.3; 0.2
0.375; 0.25; 0.3

 

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