Answer
$\frac{5}{16}$
Work Step by Step
We know that $probability=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}$
The total number of middle income families (the number of all outcomes) is $160$
By using the table, out of the $160$, there are $50$ who went to private colleges, thus there are $50$ "good outcomes".
Hence the probability here is: $\frac{50}{160}=\frac{5}{16}$