SOLUTION: In a class of 30 students, 16 are democrats, 4 are business majors, and 3 of the business major are democrats. If one student is randomly selected, find the probability of choosing

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Question 1195518: In a class of 30 students, 16 are democrats, 4 are business majors, and 3 of the business major are democrats. If one student is randomly selected, find the probability of choosing a Democrat or a business major
Answer by ikleyn(52778) About Me  (Show Source):
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In a class of 30 students, 16 are democrats, 4 are business majors,
and 3 of the business major are democrats. If one student is randomly selected,
find the probability of choosing a Democrat or a business major
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Use the general formula for the probability of union of two events, A and B

    P(A U B) = P(A) + P(B) - P(A ∩ B).


In your case, this formula takes the form

    P(Democrat or a business major) = 16%2F30 + 4%2F30 - 3%2F30 = %2816+%2B+4+-+3%29%2F30 = 17%2F30.    ANSWER

Solved and explained.