Suppose that Flinders students are surveyed about whether they like statistics. At Bedford Park, it's found that 45% of students like statistics, while at Tonsley 91% like statistics. It's also known that 58% of students in the survey were from Tonsley, while the rest were from Bedford Park. No students are in both groups.

(a) Express the given information using probability notation.

(b) If you select a student from the survey at random, what is the probability they like statistics?

(c) Suppose that a randomly selected student likes statistics. What is the probability they are from Tonsley?