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O-LevelMathematicsProbability4024/11 · May/June 2018 · Q124 Marks

Basia records the colour of 100 cars passing the school gate. Her results are recorded in the table. | Colour of car | Black | Grey | Red | Blue | Other | |---|---|---|---|---|---| | Frequency | 43 | 18 | 12 | 9 | 18 |

  1. (a)Use Basia's results to estimate the probability that the next car seen is a blue car.[1]
  2. (b)In the next hour, 500 cars pass the school gate. Use Basia's results to estimate the number of these cars that are red.[1]
  3. (c)Colin records the colour of the next 100 cars passing the school gate. His results are shown in the table below. | Colour of car | Black | Grey | Red | Blue | Other | |---|---|---|---|---|---| | Frequency | 34 | 10 | 18 | 28 | 10 | Use Basia's and Colin's combined results to estimate the number of red cars that would be seen when 500 cars pass the school gate.[1]
  4. (d)Which of the estimates in part (b) or in part (c) is likely to be the best? Give a reason for your decision. The best estimate is ___________ because ___________[1]

Mark scheme

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

  1. [1] 9/100 oe
  2. [1] 60
  3. [1] 75
  4. [1] (c) because based on a larger sample oe

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About this question

Topic
Probability, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2018 Paper 1 Variant 1, question 12.

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