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Answer D
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In believe the answer is D. Please see below for explanation.

0) we are told the following ratios

CGD - College Graduate with Degree
NCG - Non College Graduate
CGN - College Graduate no Degree

CGD NCG CGN
1 8
3 2

In order to make CGD and CGN comparable we need to find the least common multiple of 8 and 3 and that is 24 multiplying the first ratio by 3 and the second ratio by 8 we get

CGD NCG CGN
3 24 16

If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?

Nr of CGD = 3
Nr of CG = 3+ 16 = 19

Probability of CGD / (CG) -> 3/19

Answer D
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Bunuel
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?

A) 1/11
B) 1/12
C) 1/13
D) 3/19
E) 3/43

Kudos for a correct solution.

Let x be graduates with a degree,
y be " without a degree, and
NC be non-graduates.

as the problem says:
\(\frac{x}{NC}=\frac{1}{8}\); so \(x=(\frac{1}{8})NC\)
\(\frac{y}{NC}=\frac{2}{3}\); so \(y=(\frac{2}{3})NC\)

and we need to find \(\frac{x}{x+y}\); so \((1/8)NC/(1/8+2/3)NC\)
canceling out NC we get: \(\frac{3}{19}\); answer choice D.
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Bunuel
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?

A) 1/11
B) 1/12
C) 1/13
D) 3/19
E) 3/43

We can let the number of non-college graduates be 24. Therefore, the number of college graduates with a graduate degree is 1/8 x 24 = 3, and the number of college graduates without a graduate degree 2/3 x 24 = 16. Therefore, there are 3 + 16 = 19 college graduates and the probability a randomly selected college graduate will have a graduate degree is 3/19.

Answer: D
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Bunuel Shouldn't this question be tagged under probability as well?
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Bunuel Shouldn't this question be tagged under probability as well?

Yes. Added the tag. Thank you!
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