Raheem inspects 50 cars for three types of fault, FFF, G G\,G and HHH.
5 cars have all three faults.
8 cars have fault F F\,F and fault GGG.
7 cars have fault G G\,G and fault HHH.
9 cars have fault F F\,F and fault HHH.
31 cars have fault FFF, 13 cars have fault G G\,G and 17 cars have fault HHH.
Draw a Venn diagram to represent this information.
Two of the 50 cars are selected at random. Find the probability that both have fault FFF.
200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.