12.05 A study of the students taking distance learning courses at a university finds that they are mostly older students not living in the university town. Choose a distance learning student at random. Let A be the event that the student is 25 years old or older and B the event that the student is local. The study finds that:

P(A) = 0.7, P(B) = 0.25, and P(A and B) = 0.05. What is the probability that the student is at least 25 years old and not local?