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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 $ rac{1}{5}$. Explain w... 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 statement regarding the probability of the spinner landing on black is incorrect because the spinner has a total of 5 equal sections: 2 grey, 2 white, and 1 black. To calculate the probability of landing on black, we need to divide the number of favorable outcomes (black sections) by the total number of sections. Thus, the correct probability is:
However, given that there is only 1 black section among the total of 5 sections, Vlad's assertion that it is rac{1}{5} is indeed correct; however, he must account for the other possible outcomes. If he mistakenly understood the description of the spinner, he could be interpreting his probability as higher than it actually is, based on incorrect assumptions.
Step 2
Explain why this graph is misleading.
Answer
The graph showing the cost of a litre of petrol for the last six months may be considered misleading for several reasons. First, if the graph does not have a uniform scale on the vertical axis, it can exaggerate or minimize the perceived changes in petrol prices. Additionally, if significant fluctuations are not accurately displayed—for example, if certain months of drastic price changes are not marked clearly—viewers may misinterpret trends over time. Lastly, without data labels or markers for each month's price, it can be easy for someone to overlook specific changes or misunderstand the overall price trajectory.