Probabilities from Tables & Charts (Cambridge (CIE) IGCSE International Maths: Extended): Exam Questions

{students in a school}
{students who play football}
{students who play baseball}  

There are 240 students in the school.

  • 120 students play football
• 40 students play baseball 
• 90 students play football but not baseball.

Complete the Venn diagram to show this information.  

A student in the school is chosen at random.  
Find the probability that this student plays baseball but not football.

{odd numbers less than 30}

{3, 9, 15, 21, 27}
{5, 15, 25}

Complete the Venn diagram to represent this information.

A number is chosen at random from the universal set, .

What is the probability that the number is in the set ?

Here is a Venn diagram.

Write down the numbers that are in set

i) 

[1]

ii) 

[1]

One of the numbers in the diagram is chosen at random.

Find the probability that the number is in set .

The numbers from to  are shown in the Venn diagram.

i) List the members of the set

[1]

ii) List the members of the set  

[1]

A number is picked at random from the numbers in the Venn diagram.

Find the probability that this number is in set but is not in set .

A and B are two events.

Some probabilities are shown on the Venn diagram.

Work out .

In a group of 200 students:

• 120 study Chemistry ,

• 90 study Geography ,

• 50 study both Chemistry and Geography.

Draw a Venn diagram to represent this information.

A student is selected at random.

Find:

(i) .

(ii) .

(iii) .

There are 32 students in a class.

5 do not study any languages. 15 study German (G). 18 study Spanish (S).

Complete the Venn diagram to show this information.

A student is chosen at random.  
Find the probability that the student studies Spanish but not German.

A student who studies German is chosen at random.
Find the probability that this student also studies Spanish.

40 children were asked if they have a computer or a phone or both.
The Venn diagram shows the results.

A child is chosen at random from the children who have a computer.  
Write down the probability that this child also has a phone.

Complete the Venn diagram.  

The Venn diagram shows information about the number of elements in sets , and .

Find the value of .

................................................

An element is chosen at random from .
Find the probability that this element is in .