swerve wrote:In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?
A. 35%
B. 45%
C. 55%
D. 65%
E. 75%
Let J = job, NJ = no job, D = diploma, ND = no diploma.
To organize the data, use the following DOUBLE-MATRIX:
40% of the people have the job of their choice.
The following matrix is yielded:
10% of the people do not have a university diploma but have the job of their choice.
The following matrix is yielded:
25% of the people who do not have the job of their choice have a university diploma.
Since 1/4 of the 60 jobless people have a diploma-- implying that 15 jobless people have a diploma -- the following matrix is yielded:
What percent of the people have a university diploma?
In the completed matrix, total D = 45.
The correct answer is
B.
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