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4024/12 Oct/Nov 2025, Question 12: Combined Events with Two-Way Tables

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 5 marks

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The question, in short

Using two fair spinners, complete a sum sample space, find a probability for scores above 10, then find a probability for products above 30 when spinner A is spun twice.

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

Part (ai) · 1 mark

Fill in the missing totals in the addition table for spinner A across and spinner B down.

  1. 1Add the Spinner A number to the Spinner B number in each cell
  2. 2Row 1: 3, 5, 7, 9; Row 1: 3, 5, 7, 9; Row 3: 5, 7, 9, 11; Row 5: 7, 9, 11, 13

Answer| + | 2 | 4 | 6 | 8 | | 1 | 3 | 5 | 7 | 9 | | 1 | 3 | 5 | 7 | 9 | | 3 | 5 | 7 | 9 | 11 | | 5 | 7 | 9 | 11 | 13 |

Part (aii) · 2 marks

Work out the probability that the total of the two spinners is greater than 10.

  1. 1Total outcomes = 4 × 4 = 16
  2. 2Scores greater than 10: 11, 11, 13 → 3 outcomes
  3. 3P(score > 10) = 3/16

Answer3/16

Part (b) · 2 marks

Spinner A is spun twice and the numbers multiplied; find the probability the product exceeds 30.

  1. 1Products greater than 30: 4 × 8 = 32, 8 × 4 = 32, 6 × 6 = 36, 6 × 8 = 48, 8 × 6 = 48, 8 × 8 = 64
  2. 26 successful outcomes out of 4 × 4 = 16
  3. 3P(score > 30) = 6/16

Answer6/16

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Also searched as: 4024/12/O/N/25 · 4024_w25_qp_12 · 4024 w25 12 · question 12.
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