0580/21 May/Jun 2023, Question 15: Tree Diagrams for Dependent Events
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Bag has 5 green, 2 blue, 6 white buttons. Maya takes two without replacement. Find the probability that exactly one of the two buttons is green.
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Solution · 3 marks
- 113 buttons: 5 green, 8 not green
- 2P(G then not G) = 5/13 × 8/12 = 40/156
- 3P(not G then G) = 8/13 × 5/12 = 40/156
- 4Total = 80/156 = 20/39
Answer20/39
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