Of 60 students, 32 study music MMM, 28 study photography P P\,P and 24 study coding CCC. Fifteen study both music and photography, 12 study both photography and coding, 11 study both music and coding, and 6 study all three. Pairwise totals include those who study all three.
Find the number of students who study none of the three subjects.
Given that a student studies at least one of the subjects, find the probability that the student studies exactly one.
164 exam-style questions on OCR (MEI) A Level Maths 2.3.10 Conditional probabilities (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.