# Probability

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Suppose that a certain college class contains students. Of these, are freshmen, are physics majors, and are neither. A student is selected at random from the class.

a. What is the probability that the student is both a freshman and a physics major?

b. Suppose that we are given the additional information that the student selected is a freshman. What is the probability that she is also a physics major?

Give your answers as exact fractions.

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###### Education

- BE, Bangalore University, India
- MS, University of Wisconsin-Madison

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