Venn Diagrams & Sample Space Diagrams (Edexcel IGCSE Maths A: Foundation): Exam Questions

A and B are two events.

Some probabilities are shown on the Venn diagram.

Work out 

Geoff has two fair spinners.

He spins both spinners and multiplies the numbers on each spinner.

Complete the table.

Geoff wants to work out the probability that the outcome of the multiplication is an even number or a prime number. Here is his working.

Geoff is wrong.
Explain his error and give the correct answer.

In a survey, 60 students were asked whether they have a bank account (B) and whether they have a part-time job (J).

The number of students who had neither a bank account nor a part-time job was x.

The Venn diagram shows the results in terms of x.

One of the 60 students is chosen at random. Find the probability that they have a bank account. Show your working.

This is a fair 5-sided spinner.

Ciara spins the spinner twice and records the product of the two scores.

i) Complete the table.

[2]

ii) Find the probability that the product is a multiple of 3.

[2]

Complete the Venn diagram to represent this information.

A number is chosen at random from the universal set .

Find the probability that the number is in the set .

In a survey of 50 people,

    30 owned a cat    
25 owned a dog    
6 owned neither a cat or a dog

Complete the Venn diagram to show this information.

One person is chosen at random.

Find the probability that the person owns a cat and a dog.

Here is some information about 80 people who play in bands.

12 are singers but not guitar players.
30% are neither a singer nor a guitar player.
of the guitar players are also singers.

Complete this Venn diagram to represent the information.

ξ = 80 people who play in bands
S = singers
G = guitar players