4MA1/1H Jun 2022, Question 15: Tree Diagrams for Independent Events
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Given win/draw/loss probabilities 0.3, 0.5, 0.2 and points +10, 0, −5, find the probability that Abraham's total score over 3 games is 0 points.
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Solution · 4 marks
- 1A total of 0 needs DDD (0 + 0 + 0) or one win and two losses (10 − 5 − 5)
- 2P(DDD) = 0.5³ = 0.125
- 3One win, two losses in 3 orders: 3 × 0.3 × 0.2 × 0.2 = 0.036
- 40.125 + 0.036 = 0.161
Answer0.161
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