4MA1/2HR Jun 2023, Question 19: Tree Diagrams for Dependent Events
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
30 adults: 19 booked breakfast, 15 booked dinner, 4 booked neither. Find the probability that two adults chosen at random both booked breakfast and dinner.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 119 + 15 + 4 = 38
- 238 − 30 = 8
- 38 adults booked both breakfast and dinner
- 4Probability first adult booked both = 8/30
- 5Probability second adult booked both = 7/29
- 6(8/30) × (7/29) = 56/870
- 756/870 = 28/435
Answer28/435
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