A** sample space diagram** is simply a diagram that helps you display outcomes in a logical and clear way. When two events take place, there are a number of possible outcomes.

**Example**

Two dice are thrown and the results are shown in this sample space diagram.

What is the probability that the two dice will show different numbers?

**Answer**

The sample space diagram shows that there are 6 x 6 = 36 outcomes in total.

The ones showing doubles are shaded. There are 6 of these, and so 36 - 6 = 30 where the numbers are different.

P(different numbers) = 30/36 = **5/6**