0580/22 Feb/Mar 2024, Question 25: Tree Diagrams for Dependent Events
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Bag holds 2 green, 5 red and 6 blue buttons; two are drawn without replacement. Find the probability the two buttons are different colours.
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Solution · 4 marks
- 1P(G then not G) = 2/13 × 11/12
- 2P(R then not R) = 5/13 × 8/12
- 3P(B then not B) = 6/13 × 7/12
- 4Total = (22 + 40 + 42)/156 = 104/156
- 5= 2/3
Answer2/3
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