The pie chart shows the distribution of 4320 students who graduated from four departments in a university. If a student is picked at random from the four departments, what id the probability that he is not from the education department?
Attached Figure / Diagram
A
\(\frac{3}{10}\)
B
\(\frac{2}{9}\)
C
\(\frac{5}{18}\)
D
\(\frac{7}{10}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{\text{education}}{\text{graduates}} = \frac{108}{360} \times 4320\)
= 1296
Pr(Education) = \(\frac{1296}{4320} = \frac{1}{10}\)
pr(not education) = 1 - \(\frac{3}{10}\)
= \(\frac{10 - 3}{10}\)
= \(\frac{7}{10}\)
Source: Myschool Past Questions Archive (Record #36506)