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4MA1/2FR Jan 2019, Question 19: Probability with Venn Diagrams

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Using a Venn diagram for whole numbers 1 to 12, list members of sets and find a probability for a randomly chosen 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 belong to set A.

  1. 1Read the numbers inside set A: 2, 4, 6, 8, 10, 12

Answer2, 4, 6, 8, 10, 12

Part (b) · 1 mark

List the numbers in the intersection of sets A and B.

  1. 1Find the numbers in both A and B: 8, 10, 12

Answer8, 10, 12

Part (c) · 1 mark

List the numbers outside both set A and set B.

  1. 1List all whole numbers from 1 to 12 not in A or B: 1, 3, 5

Answer1, 3, 5

Part (d) · 2 marks

Find the probability that a randomly chosen number lies in A union B.

  1. 1From part (c), the numbers not in A ∪ B are 1, 3 and 5
  2. 2So A ∪ B contains the remaining numbers: 2, 4, 6, 7, 8, 9, 10, 11, 12
  3. 3That is 9 numbers
  4. 4There are 12 numbers in the Venn diagram
  5. 5P(number is in A ∪ B) = 9/12

Answer9/12

Stuck on a step? Read the free lesson: Probability with Venn Diagrams

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