0580/23 May/Jun 2026, Question 27: Tree Diagrams for Dependent Events
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 4 marks
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The question, in short
Bag holds 2 red, 3 green, 5 blue counters; two are drawn without replacement. Find the probability the two counters are different colours.
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Solution · 4 marks
- 1P(same) = 2/10 × 1/9 + 3/10 × 2/9 + 5/10 × 4/9
- 2= 2/90 + 6/90 + 20/90 = 28/90
- 3P(different) = 1 − 28/90 = 62/90
Answer62/90
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