SOLUTION: 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 probabili

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Question 1007623: 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.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
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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  = .


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