4MA1/2H Nov 2021, Question 16: Tree Diagrams for Independent Events
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Box has 15 counters: 4 red, 5 green, rest yellow. Niklas and Sasha each take one counter with replacement. Find the probability both counters have the same colour.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Yellow counters: 15 − 4 − 5 = 6
- 2Both red: 4/15 × 4/15 = 16/225; both green: 5/15 × 5/15 = 25/225
- 3Both yellow: 6/15 × 6/15 = 36/225
- 4Total = 16/225 + 25/225 + 36/225 = 77/225
Answer77/225
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