4MA1/2HR Jun 2023, Question 15: 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
A biased coin is spun three times; getting three heads has probability 27/64. Work out the probability of getting three tails.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 127/64 = (P(H))³
- 2P(H) = ∛(27/64) = 3/4
- 3P(T) = 1 − 3/4 = 1/4
- 4P(T three times) = (1/4)³ = 1/64
Answer1/64
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