A dealer checks 60 cars for three optional extras: front parking sensors FFF, a glass sunroof G G\,G and heated seats HHH.
6 cars have all three extras.
14 cars have extra F F\,F and extra GGG.
11 cars have extra G G\,G and extra HHH.
13 cars have extra F F\,F and extra HHH.
34 cars have extra FFF, 25 cars have extra G G\,G and 22 cars have extra HHH.
Draw a Venn diagram to represent this information.
One of the 60 cars is selected at random. Find the probability that it has exactly one of the three extras.
Two of the 60 cars are selected at random. Find the probability that neither has any of the three extras.
198 exam-style questions on AQA A Level Maths 2.3 M: Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Conditional probability (A-level only), 2.3.3 Modelling with probability (A-level only), and 2.3 M: Probability. Each one has a worked solution and a mark scheme showing where the marks go.