SOLUTION: In a class of 50 students, 27 are democrats, 9 are business majors, and 6 of the business majors are Democrats. If one student is randomly selected from the class, find the probabi

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Question 220883: In a class of 50 students, 27 are democrats, 9 are business majors, and 6 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing a Democrat or a business major?
Answer by stanbon(75887) About Me  (Show Source):
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In a class of 50 students, 27 are democrats, 9 are business majors, and 6 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing a Democrat or a business major?
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P(Dem or bm) = P(Dem)+P(bm)-P(Dem and km)
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P(Dem or bm) = 27/42 + 9/42 - 6/42
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P(Dem or bm) = 30/42 = 10/14 = 5/7
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Cheers,
Stan H.