During the assessment of a class of students, 80% passed the examination in mathematics, 85% passed in

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During the assessment of a class of students, 80% passed the examination in mathematics, 85% passed in laboratory work, and 75% passed both. For a student chosen at random from the class, find the probabilities that the student

(a) Passed in either mathematics or laboratory work;

(b) Passed in mathematics but failed laboratory work;

(c) Failed in both.

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