Concept explainers
In Exercises 1–22, use Bayes’ theorem to calculate the probabilities.
College Majors There are three sections of English 101. In Section I, there are 25 students, of whom 5 are mathematics majors. In Section II, there are 20 students, of whom 6 are mathematics majors. In Section III, there are 35 students, of whom 5 are mathematics majors. A student in English 101 is chosen at random. Find the probability that the student is from Section I, given that they are a mathematics major.
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