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4MA1/1F Jan 2023, Question 9: Combined Events with Two-Way Tables

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

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The question, in short

Two fair spinners A (1, 2, 3) and B (1, 2, 3, 4) give a score by multiplying the outcomes. Complete a results table, then find the probability the score is odd.

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

Part (a) · 2 marks

Complete the multiplication table of scores for spinner A and spinner B, filling in the missing entries.

  1. 11 × 1 = 1
  2. 21 × 2 = 2
  3. 31 × 3 = 3
  4. 42 × 1 = 2
  5. 52 × 2 = 4
  6. 62 × 3 = 6
  7. 73 × 1 = 3
  8. 83 × 2 = 6
  9. 93 × 3 = 9
  10. 104 × 1 = 4
  11. 114 × 2 = 8
  12. 124 × 3 = 12

AnswerSpinner A: 1 2 3 Spinner B: 1 → 1 2 3 2 → 2 4 6 3 → 3 6 9 4 → 4 8 12

Part (b) · 1 mark

Find the probability that the score from one spin of each spinner is an odd number.

  1. 1List all possible scores: 1, 2, 3, 2, 4, 6, 3, 6, 9, 4, 8, 12
  2. 2Identify odd scores: 1, 3, 3, 9
  3. 3Count odd scores: 4
  4. 4Total outcomes: 12
  5. 54 / 12

Answer4/12

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