Mathematics 4024 · O Level

Relative and expected frequencies

13 practice questions on Relative and expected frequencies, with worked solutions and instant marking.

Basia notes the colours of $100$ cars that go past the school gate. The outcomes are listed in the table.

May/June 2018

The die was tossed $400$ times. The outcomes are listed in a table showing the number thrown $1,2,3,4,5,6$ and the corresponding frequencies $65,80,70,75,50,60$.

May/June 2018

A survey found that $3$ out of every $100$ women were taller than $1.9\text{ m}$. One woman is selected at random from these $100$ women. Calculate the probability that she is not taller than $1.9\text{ m}$.

May/June 2021

100 adults were asked about the colour of their car. Write down the relative frequency that one of these cars is blue.

May/June 2022

The spinner has 5 sides labelled 1, 2, 3, 4 and 5. The table records the outcomes after 200 spins of the spinner.

May/June 2022

Ali keeps a log of the computer games he plays. In the first $6$ games, Ali wins $4$. In the first $20$ games, Ali wins $13$. Use these results to find the best estimate for the probability that Ali will not win the next computer game he plays.

May/June 2023

The table gives details for a class of 28 students and the distances from school that they live.

May/June 2024

Kamal keeps a daily count of the phone calls he gets at work over $20$ days. The table shows the results.

May/June 2024

In a survey, students must select the kind of movie they prefer most. The table presents the outcomes.

May/June 2025

Ashraf spun a five-sided spinner, labelled $1,2,3,4$ and $5$, $200$ times.

Oct/Nov 2018

The table presents the outcomes from 300 throws of a dice. The relative frequency for a 4 is $0.2$.

Oct/Nov 2019

A spinner with $4$ sides, labelled from $1$ to $4$, is spun on many occasions. The table records the outcomes of the spins.

Oct/Nov 2021

Azra owns a spinner. Its sectors are coloured red, blue, yellow or green. The table shows the relative frequency with which the spinner lands on red, blue or yellow.

Oct/Nov 2022