Answer
$\frac{3}{5}$
Work Step by Step
"Does not have brown eyes" $=$ males or females that have either blue and green eyes.
Let $P =$ probability of a student that does not have brown eyes
$P = \frac{number of students with blue and green}{total number of students}$
$= \frac{18 + 10 + 20 + 12}{22 + 18 + 10 + 18 + 20 + 12}$
$= \frac{60}{100}$
$= \frac{6}{10}$
$=\frac{3}{5}$