0580/22 May/Jun 2023, Question 23: Tree Diagrams for Independent Events
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Bag A and bag B hold red and yellow sweets; Anna picks from A with P(red) = 2/5, and P(both pick yellow) = 1/10. Find the probability both pick red.
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Solution · 3 marks
- 1P(Anna yellow) = 1 − 2/5 = 3/5
- 23/5 × p = 1/10, so P(Ben yellow) = p = 1/6
- 3P(Ben red) = 1 − 1/6 = 5/6
- 4P(both red) = 2/5 × 5/6 = 10/30 = 1/3
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