A local book club has 12 members, and they are deciding how many books to read over the next year. The members decided to conduct a survey to find out their reading preferences.
In the survey, 4 members expressed a preference for science fiction, 5 members preferred mystery novels, and the remaining members had no preference for either genre. If 2 members who preferred mystery novels also enjoy science fiction, what is the probability that a randomly selected member from the book club will prefer a science fiction book?