Relative frequency probability
AQA GCSE Maths revision on Relative frequency probability. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 10 practice questions on this topic.
Sample questions (3 of 10)
-
Question 1
A biased coin is tossed 200 times and lands on heads 110 times. What is the relative frequency of the coin landing on heads?
- A) 0.55 as the ratio is 110 divided by 200 total tosses
- B) 0.45 as the ratio is 090 divided by 200 total tosses
- C) 0.90 as the ratio is 110 divided by 122 total tosses
- D) 1.10 as the ratio is 200 divided by 182 total tosses
Show answer
Answer: 0.55 as the ratio is 110 divided by 200 total tosses
The relative frequency is calculated as 110/200, which simplifies to 0.55. Students often confuse this with the complement (tails) if they misread the question.
-
Question 2
A spinner is spun 50 times and lands on red 15 times. What is the best estimate for the probability of the spinner landing on red?
Show answer
Answer: 0.3
The relative frequency is 15 divided by 50, which equals 0.3. This is our best empirical estimate for the theoretical probability.
-
Question 3
If a football team wins 12 out of 40 matches, what is the relative frequency of them winning?
- A) 0.30 as the count of wins divided by total games
- B) 0.40 as the count of wins divided by total games
- C) 0.12 as the count of wins divided by total games
- D) 0.70 as the count of wins divided by total games
Show answer
Answer: 0.30 as the count of wins divided by total games
Relative frequency is the number of successful outcomes (12) divided by the total trials (40), resulting in 0.30. A common error is to use the number of losses instead.
Want to test yourself on the remaining cards for this topic?
7 more questions on Relative frequency probability — plus mistakes tracking and spaced repetition across the whole Maths spec.