A-LevelMathematicsProbability and statistics9709/62 · Feb/Mar 2018 · Q36 Marks

Last Saturday, Sarah recorded the colour and type of 160 cars in a car park. All the cars that were not red or silver in colour were grouped together as ‘other'. Her results are shown in the following table. Type of car Saloon Hatchback Estate Red 20 40 12 Colour of car Silver 14 26 10 Other 6 24 8

(i)Find the probability that a randomly chosen car in the car park is a silver estate car.[1]
(ii)Find the probability that a randomly chosen car in the car park is a hatchback car.[1]
(iii)Find the probability that a randomly chosen car in the car park is red, given that it is a hatchback car.[2]
(iv)One of the cars in the car park is chosen at random. Determine whether the events 'the car is a hatchback car' and 'the car is red' are independent, justifying your answer.[2]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2018). The mark or mark type is shown in brackets.

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Topic: Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source: A-Level Mathematics, Feb/Mar 2018 Paper 6 Variant 2, question 3.

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