Question #4822

I have a homework problem that I am not sure I am answering correctly
750 workers were surveyed about where they had attended school. 480 of the workers surveyed had attended a community college. 420 of the workers surveyed had attended a 4 year school. 75 of the workers surveyed had attended neither.
a) find the probability that a student attended a community college or attended a university
b) find the probability that a student did not attend a community college or did not attend a university.

Expert's answer

a) find the probability that a student attended a community college

or

attended a university

The number of workers attended a community

college or attended a university:

750 - 75 = 675

So, the probability is P

= 675 / 750 = 90%

b) find the probability that a student did not attend a

community

college or did not attend a university.

The number of workers

attended either a community college and a university:

420 - x + 480 =

675

x = 225

So, the number of workers did not attended a community college

or did

not attend a university is 750 - 225 = 475

And the probability is P

= 475 / 750 = approx. 63%

or

attended a university

The number of workers attended a community

college or attended a university:

750 - 75 = 675

So, the probability is P

= 675 / 750 = 90%

b) find the probability that a student did not attend a

community

college or did not attend a university.

The number of workers

attended either a community college and a university:

420 - x + 480 =

675

x = 225

So, the number of workers did not attended a community college

or did

not attend a university is 750 - 225 = 475

And the probability is P

= 475 / 750 = approx. 63%

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