#### Answer

The probability is $\frac{18}{25}$.

#### Work Step by Step

We know that total number of students is 350
Therefore, $ n\left( S \right)=350$
Also, the number of students who attend public college is $252$.
So, $ n\left( E \right)=252$
Then, the required probability of students to attend a public college is given below:
$\begin{align}
& \text{P}\left( \text{public} \right)=\frac{\text{Total number of students in public college}}{\text{Total number of students}} \\
& =\frac{252}{350} \\
& =\frac{18}{25}
\end{align}$
Thus, the probability is $\frac{18}{25}$.