Please help me understand this probability question ( Bayes)
A personnel director has two lists of applicants for jobs. List 1 contains
the names of five women and two men, whereas list 2 contains the names of two women
and six men. A name is randomly selected from list 1 and added to list 2. A name
is then randomly selected from the augmented list 2. Given that the name selected
is that of a man, what is the probability that a womans name was originally selected
from list 1?
We just finished learning Bayes Theorem so this question deals with that. My issue is with the formula. Im having a hard time figuring what probabilities to assign.