4MA1/1H Jun 2018, Question 19: Tree Diagrams for Independent Events
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Two fair spinners A (2,3,5,7) and B (2,3,4,5,6) are spun; winning needs one odd and one even result. Find the probability of winning both of two games.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1A: P(odd) = 3/4, P(even) = 1/4. B: P(odd) = 2/5, P(even) = 3/5
- 2P(win) = 3/4 × 3/5 + 1/4 × 2/5 = 9/20 + 2/20 = 11/20
- 3Win both games: 11/20 × 11/20 = 121/400
Answer121/400
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