0580/21 May/Jun 2024, Question 22: Tree Diagrams for Independent Events
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Given P(Stephan red) = 0.4 and P(both red) = 0.25 for independent picks from bags A and B, find the probability both pick blue.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 10.4 × P(Jen red) = 0.25
- 2P(Jen red) = 0.25 ÷ 0.4 = 0.625
- 3P(Jen blue) = 1 − 0.625 = 0.375 and P(Stephan blue) = 1 − 0.4 = 0.6
- 4P(both blue) = 0.6 × 0.375 = 0.225
Answer0.225
Stuck on a step? Read the free lesson: Tree Diagrams for Independent Events
Practise more tree diagrams for independent events questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on tree diagrams for independent events
Also searched as: 0580/21/M/J/24 · 0580_s24_qp_21 · 0580 s24 21 · question 22.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.