Question 1195518
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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 &#8745; B).


In your case, this formula takes the form

    P(Democrat or a business major) = {{{16/30}}} + {{{4/30}}} - {{{3/30}}} = {{{(16 + 4 - 3)/30}}} = {{{17/30}}}.    <U>ANSWER</U>
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Solved and explained.