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4MA1/1FR Jun 2022, Question 17: Relative Frequency and Expectation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks

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The question, in short

Use a biased four-colour spinner with given probabilities for red, yellow and green to find a combined probability, then estimate purple outcomes in 300 spins.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Find the probability of landing on red or yellow using the table values 0.25 and 0.2.

  1. 10.25 + 0.2 = 0.45

Answer0.45

Part (b) · 3 marks

Estimate how many of 300 spins land on purple, using the missing probability from the table.

  1. 10.25 + 0.2 + 0.2 = 0.65
  2. 21 − 0.65 = 0.35
  3. 3300 × 0.35 = 105

Answer105

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