Question

2) In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?

Answer 1

Answer: The required probability is 0.07.

Step-by-step explanation: Given that in a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8.

And ratio of college graduates without a graduate degree to non-college graduates is 2:3.

We are to find the probability that the college graduate has a graduate degree, if one picks a random college graduate at this large company.

According to the given information, we have

the ratio of college graduates with a graduate degree to non-college graduates is

`a:b=1:8=3*1:3*8=3:24`

and the ratio of college graduates without a graduate degree to non-college graduates is

`c:b=2:3=2*8:3*8=16:24.`

Therefore, the ratio of college graduates with a graduate degree to the college graduates without a graduate degree to non-college graduates is

`a:c:b=3:16:24.`

So, the probability that the college graduate has a graduate degree, if one picks a random college graduate at this large company is

`(a)/(a+b+c)=(3)/(3+16+24)=(3)/(43)=0.07.`

Thus, the required probability is 0.07.