Answer
$P = \frac{9}{19}$
Work Step by Step
"Among the students with blue eyes, find the probability of selecting a male" = Out of the male and female student population with ONLY blue eyes, what is the probability of selecting a male?
Let $P = $ probability of selecting a male
$P = \frac{number of males with blue eyes}{number of females and males with blue eyes}$
$= \frac{18}{20+18}$
$= \frac{18}{38}$
$= \frac{9}{19}$