4MA1/1H Jan 2020, Question 18: Tree Diagrams for Dependent Events
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Three people each take one sweet at random from a bowl of 16 sweets (4 blackcurrant, 5 lemon, 7 orange). Find the probability that all 5 lemon sweets remain in the bowl.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1All 5 lemons stay if all three sweets taken are non-lemon
- 2There are 16 − 5 = 11 non-lemon sweets
- 3P = 11/16 × 10/15 × 9/14 = 990/3360
- 4= 33/112
Answer33/112
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