Question 1007623
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In a class of 60 students , 41 are democrats ,9 are business majors and 4 of the business majors are democrats. 
If one student is randomly selected from the class, find the probability of selecting a democrat or a business major.
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The mathematical model is as follows.

There is a set C consisting of 60 elements (the class).

There is a subset D in C of 41 elements (democrats).

There is a subset B in C of 9 elements (business majors).

Intersection of D and B consists of 4 elements.

Then the union of D and B contains 41 + 9 - 4 elements, i.e. 46 students.

Therefore, the probability that randomly selected from the class student is a democrat or a business major equals {{{46/60}}} = {{{23/30}}}. 
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