There are four people being considered for the position of chief executive officer of Dalton Enterprises. Three of the applicants are over 60 years of age. Two are female, of which only one is over 60.
a. What is the probability that a candidate is over 60 and female?
b. Given that the candidate is male, what is the probability he is less than 60?
c. Given that the person is over 60, what is the probability the person is female?