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4MA1/1H Jun 2020, Question 1: Probability with Venn Diagrams

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks

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The question, in short

Using a Venn diagram holding the numbers 1 to 14 in sets A and B, list set members and find a probability for a randomly picked number.

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

Part (a) · 1 mark

List the numbers that lie in both set A and set B.

  1. 1Identify the region where sets A and B overlap
  2. 2List the numbers in both A and B: 2, 4, 6, 12

Answer2, 4, 6, 12

Part (b) · 1 mark

List the numbers that are not in set B.

  1. 1Identify all numbers not in set B
  2. 2List the numbers outside circle B: 5, 7, 8, 9, 10, 11, 13, 14

Answer5, 7, 8, 9, 10, 11, 13, 14

Part (c) · 2 marks

Find the probability that a randomly chosen number is in A but not in B.

  1. 1From the Venn diagram, A ∩ B = 2, 4, 6, 12
  2. 2The numbers in A but not in B are 8, 10, 14
  3. 3So 3 of the numbers are in A but not in B
  4. 4There are 14 numbers altogether
  5. 5P(number is in A but not in B) = 3/14

Answer3/14

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