4MA1/2HR Jun 2022, Question 14: Tree Diagrams for Independent Events
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
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The question, in short
Four fair six-sided dice are thrown. Find the probability that at least one die shows an even number.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Probability of one die landing on odd = 1/2
- 2Probability all four dice land on odd = (1/2)⁴ = 1/16
- 3Probability at least one die lands on even = 1 − 1/16
- 41 − 1/16 = 15/16
Answer15/16
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