Exam-Style Problem

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Problem 2657
2657

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.

Colour of carSaloonHatchbackEstate
Red204012
Silver142610
Other6248
  1. Find the probability that a randomly chosen car in the car park is a silver estate car. [1]
  2. Find the probability that a randomly chosen car in the car park is a hatchback car. [1]
  3. Find the probability that a randomly chosen car in the car park is red, given that it is a hatchback car. [2]
  4. 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]
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