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There are 97 students in a physics class. The instructor must choose two students at random....

There are 97 students in a physics class. The instructor must choose two students at random.

Students in a Physics Class
Academic Year Physics majors non-Physics majors
Freshmen 8 8
Sophomores 20 7
Juniors 20 10
Seniors 5 19

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What is the probability that a senior non-Physics major and then a junior Physics major are chosen at random? Express your answer as a fraction or a decimal number rounded to four decimal places.

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