## Drawing a Tree Diagram

A tree diagram shows all the possible outcomes of an event and their probabilities. For example, we can draw the tree diagram of a single coin toss.## How to Draw a Tree Diagram

A single coin toss can be drawn on a tree diagram.## Question

Draw a single coin toss on a tree diagram.## Step-by-Step:

## 1

List the possible outcomes of the event.
If a coin is tossed, the coin can land on

**Heads**or**Tails**.## 2

Draw a branch for each outcome of the event. Label each outcome.

## 3

Find the probability of each outcome and write it by the the branch.

- The probability of
**Heads**is^{1}⁄_{2}. It is written by the branch. - The probability of
**Tails**is^{1}⁄_{2}. It is written by the branch.

## Answer:

We have drawn the tree diagram that represents the single tossing of a coin.## How to Draw a Tree Diagram with More Than One Event

A tree diagram can be drawn for more than one event. A coin can be tossed twice, one time after another. This can be drawn on a tree diagram.## Question

Draw a double coin toss on a tree diagram.## 1^{st} Toss

Consider the first toss of the coin.
The tree diagram for the first toss will be the same as the tree diagram for a single toss.
## 2^{nd} Toss

Consider the second toss of the coin. We extend the tree diagram to the right.
For each branch of the 1^{st}toss, we can draw another 2 branches, showing the same two outcomes.

## 1^{st} Toss Was Heads

Another tree diagram can be drawn from the **Heads**branch of the

**1**.

^{st}toss## 1^{st} Toss Was Tails

Another tree diagram can be drawn from the **Tails**branch of the

**1**.

^{st}toss## You might also like...

probabilityunderstanding tree diagramsmultiplication rule on a tree diagramaddition rule on a tree diagram

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## 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: