AQA · Mathematics · 8300
GCSE Maths: Probability: relative frequency
Probability · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Probability: relative frequency (Corbettmaths Video 248), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the formula for calculating relative frequency?
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Relative frequency = (number of times an event occurs) ÷ (total number of trials)
If Jordan hits a target 3 times out of 10 attempts, what is the relative frequency of hitting the target?
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3/10 or 0.3
Why might a larger number of trials give a better estimate of probability than a smaller number?
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A larger sample size reduces the effect of random variation and provides a more reliable estimate of the true probability.
If a biased coin is flipped 20 times and lands on tails 5 times, what is the relative frequency of heads?
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15/20 or 0.75 (since heads occurred 20 - 5 = 15 times)
If the relative frequency of orange on a spinner is 0.3 after 200 spins, how many times did it land on orange?
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60 times (0.3 × 200 = 60)
Why is a relative frequency of 0.85 for tails impossible when flipping a coin 50 times?
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0.85 × 50 = 42.5, and you cannot get half a flip. The relative frequency must produce a whole number of occurrences.
If a coin lands on heads with relative frequency 13/30, estimate how many heads in 150 flips?
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65 heads (13/30 × 150 = 65)
Relative frequency is used to estimate ? based on experimental data.
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probability
If a spinner lands on white 36 times and orange 12 times out of 120 spins, how many more times did it land on white than orange?
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24 more times (36 - 12 = 24)
If a spinner lands on B with relative frequency 0.25 and C with 0.41 out of 800 spins, how many times did it land on A?
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272 times. The relative frequency of A is 1 - 0.25 - 0.41 = 0.34, so 0.34 × 800 = 272.
In a jar of 50 sweets, the relative frequency of blue sweets after many trials is 0.25. Approximately how many blue sweets are in the jar?
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Approximately 12 or 13 blue sweets (50 × 0.25 = 12.5)
If 10 blue sweets were chosen in 40 trials, what is the relative frequency of blue sweets?
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0.25 (10 ÷ 40 = 0.25)
A spinner lands on green 700 times and the relative frequency of green is 0.35. How many times was the spinner spun in total?
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2000 times (700 ÷ 0.35 = 2000)
Edward writes a 2000-word story with a relative frequency of 0.013 for incorrectly spelled words. How many words were spelled incorrectly?
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26 words (2000 × 0.013 = 26)
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