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4MA1/1F Jun 2025, Question 16: Probability with Venn Diagrams

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

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The question, in short

Use a Venn diagram with 9 in F only, 6 in F ∩ S, 8 in S only and 2 outside to answer questions about students studying French or Spanish.

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

Part (a) · 1 mark

Find the total number of students who study only French or only Spanish.

  1. 1Only French = 9, only Spanish = 8
  2. 29 + 8 = 17

Answer17

Part (b) · 2 marks

Find the probability that a randomly chosen student studies both French and Spanish.

  1. 1Total = 9 + 6 + 8 + 2 = 25
  2. 2Both = 6
  3. 3P = 6/25

Answer6/25

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