Find the Probability of Two Events Using Sample Space Diagrams

This activity will focus on sample space diagrams.

A sample space diagram can be used to display all possible outcomes. 

Example

Here is a sample space diagram showing all the outcomes when a dice is rolled and a coin is flipped.

We can also use sample space diagrams to find probabilities. 

Looking at the diagram above we could find the probability of rolling a 2

On the sample space diagram we can see that there are two possible outcomes out of a total of 12.

We could write that as a fraction 2/12

Which could be simplified to 1/6

Let's get started!