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In a group of 40 students, 22 study Economics, 25 study Law, and 3 study neither of these subjects. Determine the probability that a randomly chosen student studies:

1. Both Economics and Law
2. At Least one of these subjects
3. Economics given that he or she studies Law

I really don't understand how to calculuate the 3rd one.

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1 answer

  1. there are 47 places in the two classes that are filled by 37 students
    ... 3 of the 40 students are in neither class

    if B is the students in both classes
    ... 22 + 25 - B = 37

    1. 10 of 40

    2. 37 of 40 students in at least one class

    3. 25 in Law ... 10 in both ... 10 of 25

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