Relative and expected frequencies

Some people are fishing, and four fish types are caught. The table shows some of the information.

Feb/March 2018

Calculate the number of sweets expected to have the wrong shape.

Feb/March 2019

Calculate the expected number of sweets that are wrong-shaped.

Feb/March 2019

The diagram illustrates a fair 8-sided spinner. The labels on the spinner are 3, 4, 4, 7, 7, 7, 8 and 9.

Feb/March 2020

The probability that a person passes a driving test is $0.36$. A total of $600$ people take this driving test.

Feb/March 2023

Farid uses a spinner with three sides labelled $A$, $B$ and $C$. The chance that it lands on $C$ is $0.35$. Farid then spins the spinner 40 times.

Feb/March 2024

A random sample of 200 families was selected from the city’s families. For each family, the number of children was noted. The results are displayed in the table below.

May/June 2015

The table gives the counts of screws with different lengths in a box containing $100$ screws.

May/June 2016

Maria surveys 50 students at her school about the month of their birthday and enters the results in the table.

May/June 2017

Find the probability that the pen is green.

May/June 2018

Calculate an estimate for the number of games Kim will win.

May/June 2018

Using this information, Work out an estimate of the number of games Kim will win.

May/June 2018

The 262 students at the college each study one language from the options listed in the table.

May/June 2018

Tommy has probability 0.4 of bringing his calculator to his mathematics lesson. In one year, there are 120 mathematics lessons.

May/June 2019

The chance that Jane wins a game is $\frac{7}{10}$.

May/June 2021

Dominic asks 30 students in his class whether they are right-handed or left-handed. 7 students are left-handed.

May/June 2022

Tom’s probability of arriving late for school is 0.12. This year has 200 school days.

May/June 2023

Determine the expected number of employees in the company who walk to work.

May/June 2024

Samira chooses one of these cards at random and then puts it back.

May/June 2025

Flo has a bag containing counters. She takes one counter at random from the bag. The chance that she chooses a green counter is 0.52.

May/June 2025

A spinner carries the numbers 1, 2, 3, 4 and 5. Rinesh spins it many times and calculates the relative frequency of the spinner landing on each number. The table gives: Number: 1, 2, 3, 4, 5. Relative frequency: 0.15, 0.22, [blank], 0.26, 0.25.

May/June 2025

On any given day, the chance that it will rain is $\frac{1}{5}$.

Oct/Nov 2015

The chance that rain falls on any particular day is $\frac{1}{5}$.

Oct/Nov 2015

A factory produces cups. The chance that any one of these cups is faulty is 0.02.

Oct/Nov 2016

A bag contains $7$ red discs, $5$ green discs and $2$ pink discs. Helen chooses one disc at random, notes the colour and then puts it back into the bag. She repeats this $140$ times.

Oct/Nov 2020

A bag has 7 red discs, 5 green discs and 2 pink discs inside it.

Oct/Nov 2020

The table presents the relative frequencies for the outcomes in matches played by a football team. Game result: won, lost, drawn. Relative frequency: won 0.1, lost [blank], drawn [blank]. The number of matches lost is twice the number of matches drawn.

Oct/Nov 2021

Determine the expected number of left-handed people in a group of $5000$ people.

Oct/Nov 2021

The table gives the relative frequencies for the games won by a football team. The number of games lost is double the number of games drawn. Complete the table.

Oct/Nov 2021

A spinner may stop on green, black or red. The table gives the probabilities for the spinner stopping on green or black. Table details: Colour: Green, Black, Red Probability: $\frac{2}{5}$, $\frac{1}{4}$, [blank]

Oct/Nov 2022

The table gives the counts of people in a town who are left-handed and who are right-handed. Number of people: Left-handed: 8400 Right-handed: 48600 Total: 57000

Oct/Nov 2023

Rama asks a group of students how they get to school. The table gives the probability that a student picked at random travels to school by each method. Bus: 0.40, Walk: 0.32, Car: 0.17, Other: (blank).

Oct/Nov 2023

Rama asks a group of students how they travel to school. The table gives the probability that a student picked at random gets to school. Table: Bus: 0.4 Walk: 0.32 Car: 0.17 Other: [blank]

Oct/Nov 2023

Jacinda is playing a game with a friend. The game can end in a win, a loss or a draw for her. The chance that she wins is $0.28$.

Oct/Nov 2024