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Jenny has a five-sided biased spinner - OCR - GCSE Maths - Question 7 - 2019 - Paper 1
Question 7
Jenny has a five-sided biased spinner. The sectors are coloured red, blue, green, yellow and white. She spins the spinner 100 times. The table shows the number of t... show full transcript
Worked Solution & Example Answer:Jenny has a five-sided biased spinner - OCR - GCSE Maths - Question 7 - 2019 - Paper 1
Step 1
Write down Jenny’s estimate for the probability of landing on red.
Answer
To find the probability of landing on red, divide the frequency of red by the total number of spins. The frequency of red is 28 and the total is 100. Thus, the probability is:
So, Jenny’s estimate for the probability of landing on red is 0.28.
Step 2
Step 3
Explain why Jenny’s estimate for the probability of landing on yellow cannot be the actual probability.
Answer
Jenny’s estimate for the probability of landing on yellow is 0, which corresponds to its frequency of 0 out of 100 spins. Since the probability must be a value between 0 and 1, it cannot be anything other than 0. Therefore, stating a non-zero probability would be inconsistent with the observed data, making it impossible for the actual probability of landing on yellow to be anything other than 0.