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Compute probability, conditional probability & relations

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What is the probability that the student is a junior and makes a B in the course?

What is the probability that the student does not make a A in the course, given that the student is a senior?

What is the probability that the student makes a D or F in the course?

Let A be the event that a sophomore is taking the course. Let B be the event that the student makes a C in the course. Are the events A and B independent? Are the events A and B mutually exclusive?

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The solution gives detailed on computing probability and conditonal probability and then justifying relations for two events.

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What is the probability that the student is a junior and makes a B in the course?
Since there are totally 101 students and only 8 among them who are juniors and make a B in the course, probability=8/101.

What is the probability that the ...

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