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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 $\frac{1}{5}$. Explain wh... 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 assertion that the probability of landing on black is is incorrect because this spinner has a total of five sections (2 grey, 2 white, and 1 black). The probability of landing on black is calculated as the number of black sections divided by the total number of sections. Therefore, the correct probability is:
This means that the angle of the black section in the spinner accounts for only one out of the five equal parts, confirming Vlad's probability is accurate based on the count but is incorrect due to a misunderstanding of the area/angle involved when sections are not equal in size.
Step 2
Explain why this graph is misleading.
Answer
The graph depicting the cost of petrol over the last six months may be misleading because it does not start at zero on the vertical scale. Instead, it begins at a price of 113 pence per litre, omitting the lower ranges of pricing that could provide a clearer contextual understanding of the petrol cost fluctuations. This scaling can exaggerate the perceived increase in costs, making it appear more significant than it actually is.