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This spinner has two grey sections, two white sections and one black section - OCR - GCSE Maths - Question 19 - 2019 - Paper 1
Question 19
This spinner has two grey sections, two white sections and one black section. Vlad says The probability of the spinner landing on black is \( \frac{1}{5} \) Expl... show full transcript
Worked Solution & Example Answer:This spinner has two grey sections, two white sections and one black section - OCR - GCSE Maths - Question 19 - 2019 - Paper 1
Step 1
Explain why Vlad is not correct.
Answer
Vlad's assertion that the probability of the spinner landing on black is ( \frac{1}{5} ) is incorrect. The spinner has a total of five sections: two grey, two white, and one black. The correct probability of landing on black can be calculated using the formula:
However, the total number of sections is not equally distributed. The probability should reflect the proportion of the section compared to the total:
Thus, the accurate probability of landing on black is actually ( \frac{1}{5} ) but depends on the interpretation of equal sections.
Step 2
Explain why this graph is misleading.
Answer
The graph that shows the cost of petrol over the last six months can be misleading due to several factors:
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Scale Issues: If the y-axis scale is manipulated, it can exaggerate or minimize changes in petrol prices, making trends appear more dramatic or less significant than they are.
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Selected Data: The graph may only represent specific points rather than showing a full range of data. For instance, if only specific values are plotted without connecting all points or averaging them, it could lead to incorrect conclusions about overall trends in prices.
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Lack of Context: Without additional context, such as external economic influences, the viewer might not understand why prices fluctuated during that period, leading to misconceptions about the market conditions affecting petrol prices.