4MA1/2HR Jan 2023, Question 6: Probability from Tables and Charts
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
A bag of 80 counters has red x + 7, blue x − 11, green 3x; red probability is 1/4. Find the probability of taking a yellow counter.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1(x + 7) / 80 = 1/4
- 24(x + 7) = 80
- 34x + 28 = 80
- 44x = 52
- 5x = 13
- 6red = 13 + 7 = 20
- 7blue = 13 − 11 = 2
- 8green = 3 × 13 = 39
- 9total non-yellow = 20 + 2 + 39 = 61
- 10yellow = 80 − 61 = 19
- 11P(yellow) = 19/80
Answer19/80
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