(a) In a class of 40 students, 22 pass Mathematics test, 18 pass English test and 12 pass both subjects. A student is randomly chosen from the class, find the probability that the student (i) (ii) (iii) passes the Mathematics test but not the English test; passes the test of one subject only; fails the tests of both Mathematics and English.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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(a) In a class of 40 students, 22 pass Mathematics test, 18 pass English test and 12 pass both
subjects. A student is randomly chosen from the class, find the probability that the
student
(i)
(ii)
(iii)
passes the Mathematics test but not the English test;
passes the test of one subject only;
fails the tests of both Mathematics and English.
Transcribed Image Text:(a) In a class of 40 students, 22 pass Mathematics test, 18 pass English test and 12 pass both subjects. A student is randomly chosen from the class, find the probability that the student (i) (ii) (iii) passes the Mathematics test but not the English test; passes the test of one subject only; fails the tests of both Mathematics and English.
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