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A fair spinner has five sides - OCR - GCSE Maths - Question 5 - 2018 - Paper 1

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A fair spinner has five sides. Each side is labelled A or B. This diagram shows a probability scale. The arrow shows the probability that the spinner lands on an A... show full transcript

Worked Solution & Example Answer:A fair spinner has five sides - OCR - GCSE Maths - Question 5 - 2018 - Paper 1

Step 1

a) Circle the word that best describes this probability:

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Answer

The probability shown on the scale is towards 0.4, which indicates that landing on an A is not very likely but has a reasonable chance of occurrence. The word that best describes this probability is 'Unlikely'.

Step 2

b) Label the other sides with A or B to give the correct probability of landing on an A:

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Answer

To label the spinner correctly, we need a total of 5 sides, with 2 of them showing A to achieve a probability that is consistent with the earlier estimate of landing on A. Therefore, the correct labeling of the remaining three sides should be:

  • A
  • B
  • B

This gives us a total of 2 sides labelled A and 3 sides labelled B, making the probability of landing on A equal to rac{2}{5}.

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