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
Algebra ->
Permutations
-> 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
Log On
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! .
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.
-------------------------------------------------------------------
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 = .
