Describe

Title: Venn Diagrams & Set Notation

​

Objective:

To be able to use set notation to describe regions in a Venn diagram.

​

Key Words and Diagrams:�Venn diagram

Intersection

Union

Complement

​

Challenge

�

​

A

B

Complete the Venn diagram for events A and B, where:

A is Disney characters & B is famous mice

Challenge

�

​

A

B

Complete the Venn diagram for events A and B, where:

A is British TV Shows & B is comedy programs

New Learning

�

​

• A Set is a collection of numbers or objects.�We write a ∈ A, meaning a is in set A
• We list members of a set between curly brackets { … }
• The Empty Set has no members and it shown as ∅ = { }
• The Universal Set is the set of elements from which members of all other sets are selected.�It is denoted by .

New Learning

�

​

• A Venn Diagram shows the relationship between the sets.
• The intersection of A and B is denoted by A ∩ B
• The union of A & B is denoted by A ∪ B
• The complement of A is the members of that are not in A.�It is denoted by A’ or A^c.

New Learning

�

​

A

A’

A ∪ B

A ∩ B

Challenge

Challenge

Challenge

A group of 100 students had a uniform check at school.

• 45 students forgot their tie
• 25 students forgot their blazer
• 13 forgot both
• The rest had both.

Challenge

A group of 100 students had a uniform check at school.

• 28 students forgot their tie
• 10 students forgot their blazer
• 64 forgot neither

Challenge

200 gamers were asked about the Pokemon they had caught.

120 had caught only Pidgey

43 had caught both

2 had neither

How many had Pikachu?

Challenge

A group of 100 students had a uniform check at school.

• 28 students forgot their tie
• 10 students forgot their blazer
• 64 forgot neither

​

​

​

Find the probability that a �randomly selected student:

1. Has no tie

​

• Has a tie and no blazer

​

• Forgot at least one piece of uniform

​

• That has no blazer, has a tie