Sample Space Diagrams

​Venn Diagrams and Sample Space

​Learning Intention 

Understanding Venn Diagrams and Sample Space

Success Criteria 

I am able to:

• Correctly draw and label a Venn Diagram 

• Find probabilities with Venn Diagrams 

• Understand probability notation (union, intersection, A, A’, etc)

• Determine the Sample Space 

• Use two-way tables to calculate probabilities 

​Venn Diagram

• ​Named after English mathematician John Venn

​

• ​Venn diagram is used to investigate probability related questions when multiple events occur at the same time

​Venn Diagram

​Venn Diagram

​Unions and Intersections

​Unions and Intersections

​Summary of Probability Notation

​Example 1

​Example 2

Multiple Choice

Let's consider the number game we played last lesson. 22 students participated and what is the probability that a random student is picked and he /she has an odd number which is larger than π ?

• $$\frac{11}{22}$$  

• $$\frac{13}{22}$$  

• $$\frac{9}{22}$$  

• $$\frac{19}{22}$$  

• $$\frac{6}{22}$$  

​Sample Space in a table

Multiple Choice

A coin is tossed and a die is rolled. From the table, find the probability of tails and a number greater than 4.

• $$\frac{1}{2}$$  

• $$\frac{1}{4}$$  

• $$\frac{1}{6}$$  

• $$\frac{1}{12}$$  

​Organising data in a two- way table

Homework