## A Real Example of a Tree Diagram

It is easier to understand a tree diagram with an example.## Tossing a Coin

If a coin is tossed, the coin can land on**Heads**or

**Tails**.

- Each outcome has its own branch. There is a branch for
**Heads**and for**Tails**. - The probability of each outcome is written by each branch. The probability of
**Heads**(^{1}⁄_{2}) is written by the branch. The probability of**Tails**(^{1}⁄_{2}) is written by the branch.

**Note:**The probabilities across the branches add up to 1. They are mutually exclusive and exhaustive events.

## Another Real Example of a Tree Diagram

A tree diagram can be extended to more than one event. The tree diagram below is for two coin tosses.## What Is Probability?

A probability is a measure of how likely (how*probable*) an event is to happen. A probability is expressed as a number between 0 (impossible) and 1 (certain). The formula for finding a probability is shown below:

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probabilityunderstanding complementary eventsdrawing a tree diagrammultiplication rule on a tree diagram

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