#### Answer

The probability that a randomly picked American has not done 4 years (or more) of college is $\frac{43}{58}$.

#### Work Step by Step

We know that the probability that a randomly picked American has not done 4 years (or more) of college is as given below:
$ P\left( \text{not completed 4 years or more of college} \right)+\left( \text{completed 4 years} \right)=1$
$\begin{align}
& P\left( \text{completed 4 years} \right)=\frac{(\text{Numbers of students completed 4 years)}}{(\text{Total numbers of students)}} \\
& =\frac{43}{174}
\end{align}$
$\begin{align}
& P\left( \text{not completed 4 years or more of college} \right)=1-P\left( \text{completed 4 years} \right) \\
& =1-\frac{\text{45}}{\text{174}} \\
& =\frac{43}{58}
\end{align}$
Thus, the probability that a randomly picked American has not done 4 years (or more) of college is $\frac{43}{58}$.