A random sample of 500 women and 500 men who earned degrees in science and engineering (S&E) fields were surveyed to determine whether they worked in an S&E occupation.

a) What is the probability that a randomly selected woman works in an S&E occupation?
b) What is the probability that a randomly selected man works in an S&E occupation?
c) What is the probability that a randomly selected person works in an S&E occupation, regardless of gender?
d) What is the probability that a randomly selected person works in an S&E occupation, given that they are male?