4024/23 May/Jun 2025, Question 23: Tree Diagrams for Dependent Events
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 4 marks
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The question, in short
Box has 13 pencils: 4 red, 7 green, 2 yellow. Two drawn without replacement. Find probability the two pencils are different colours.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1P(different) = P(R, not R) + P(G, not G) + P(Y, not Y)
- 2= 4/13 × 9/12 + 7/13 × 6/12 + 2/13 × 11/12
- 3= 36/156 + 42/156 + 22/156
- 4= 100/156
Answer100/156
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