Professors at a rather unknown but large college have developed a habit of heavy drinking to forget about their students. The following data show the number of hangovers since the beginning of semester, disaggregated for male and female professors:

N hangovers Gender 0 1 > 2 Male 61 23 40 Female 66 25 36

• Given that the professor is a female, what is the probability that she had a hangover twice or more during the semester?

• What is the probability that a professor is a male, given that he had a hangover once or less during the semester?