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This spinner has two grey sections, two white sections and one black section - OCR - GCSE Maths - Question 3 - 2019 - Paper 6
Question 3
This spinner has two grey sections, two white sections and one black section. Vlad says The probability of the spinner landing on black is \( \frac{1}{5} \) Expla... show full transcript
Worked Solution & Example Answer:This spinner has two grey sections, two white sections and one black section - OCR - GCSE Maths - Question 3 - 2019 - Paper 6
Step 1
Explain why Vlad is not correct.
Answer
Vlad's statement about the probability of the spinner landing on black being ( \frac{1}{5} ) is incorrect because the spinner has a total of 5 equal sections (2 grey, 2 white, and 1 black). Therefore, the probability of landing on black is based on the number of black sections divided by the total sections:
[ P(\text{black}) = \frac{\text{Number of black sections}}{\text{Total sections}} = \frac{1}{5} \text{, which is correct.} ] However, it seems Vlad might be assuming it is equal or has misinterpreted the fractions of the sections. The correct probability actually should be positioned against actual angle measures which represent the sections accurately.
Overall, his assumption is not explicitly wrong mathematically, but doesn't reflect the contextual understanding of the spinner.
Step 2
Explain why this graph is misleading.
Answer
The graph displaying the cost of petrol is misleading because it does not start at zero on the vertical scale; it starts at 113. This can exaggerate the perceived changes in petrol prices over the six months. By not starting at zero, the graph may imply greater fluctuations in cost than actually occurred, leading the viewer to misinterpret the data.