Introduction to Probability Venn Diagrams

​What are sets?

​A set is a collection of elements that have certain things in common.

​The Venn Diagram

​ A Venn diagram shows the relationships of different sets in a visual way

​Let's examine these Venn diagrams.

​

Multiple Choice

What are the two sets in the Venn diagram?

• superman & Flash

• Thor and Batman

• Super heroes with cape & Super heroes with dead parents.

• Green superheroes and pink super heroes.

Set (Venn Diagram) Language

Commonly sets interact. For example, you and a friend decide to have a party, and you both invite your circle of friends. At this party, two sets are being combined, though it might turn out that there are some friends that were in both sets.​

​We use to terms

1. 1. union

2. 2. intersection

3. 3. complement

4. to show these comparisons

​The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Multiple Choice

What is the intersection of sets A and B?

A ⋂ B = ______

• 1, 2, 3, 4. 5

• 1, 2

• 3, 4, 6, 8

• 3, 4

Multiple Choice

Which colour is the intersection?

• blue

• green

• yellow

• red

​The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B.

Multiple Choice

This Venn diagram illustrates the set:

• A’

• A∩B

• A∪B

• A⊆B

• A-B

Multiple Choice

What numbers or elements is complement of set A (A')

• 1, 3, 5

• 2, 4, 6

• 1, 2, 3, 4, 5, 6,

• 2, 4

Multiple Choice

How likely are you to NOT roll a 1 on a regular die? (Complement)

• P' = 2/6

• P' = 3/6

• P' = 5/6

• P' = 1/6

Multiple Choice

Find the Set A∪B.

• {2, 3, 4, 5, 6}

• {2, 3, 4, 5}

• {2, 4, 6}

• {2, 4}

• {6}

Multiple Choice

Look at the Venn Diagram.

How many yellow lady bugs are there?

• There are 6 yellow lady bugs

• There are 11 yellow lady bugs

• There are 5 yellow lady bugs

Multiple Choice

Look at the Venn Diagram.

How many children that only like to play yo yo?

• 2 children

• 3 children

• 4 children

Multiple Choice

How many children like to play both kite and yo yo?

• 8 children

• 3 children

• 6 children

Multiple Choice

Look at the Venn Diagram.

How many animals that only live on land?

• 6 animals

• 4 animals

• 8 animals

Multiple Choice

What animals that live both on the land and in the water?

• Fish, turtle, crocodile and frog

• Cow, fish, frog and turtle

• Crocodile and frog

Multiple Choice

How many senior boys play football and wrestle?

• 9
• 12
• 18
• 39

Multiple Choice

How many senior boys play football but do not wrestle?

• 9
• 12
• 18
• 104

Multiple Choice

Find the probability of getting a red shape.

• $$\frac{5}{9}$$

• $$\frac{3}{9}$$

• $$\frac{1}{3}$$

Multiple Choice

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6
• 12
• 24
• 36

Multiple Choice

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

• 12 outfits

• 22 outfits

• 3 outfits

• 7 outfits

Multiple Choice

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?

• ³/₁₂
• ¹/₂
• ⁴/₁₂
• ⁰/₁₂