4MA1/2H Jun 2025, Question 11: Probability and counting
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
A box has 17 red counters, 28 blue counters and some orange counters. The probability of picking orange is 4/9. How many orange counters are there?
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Red and blue: 17 + 28 = 45
- 2P(not orange) = 1 − 4/9 = 5/9
- 35/9 of the total is 45, so total = 45 ÷ 5 × 9 = 81
- 4Orange = 81 − 45 = 36
Answer36
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