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?

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?

A.

\(\frac{3}{10}\)

B.

\(\frac{2}{9}\)

C.

\(\frac{5}{18}\)

D.

\(\frac{7}{10}\)

Correct answer is D

\(\frac{\text{education}}{\text{graduates}} = \frac{108}{360} \times 4320\)

= 1296

Pr(Education) = \(\frac{1296}{4320} = \frac{1}{10}\)

pr(not education) = 1 - \(\frac{3}{10}\)

= \(\frac{10 - 3}{10}\)

= \(\frac{7}{10}\)