# Using an outcome tree to display outcomes for more than two events

I can systematically find all the possible outcomes for more than two events by using an outcome tree diagram.

# Using an outcome tree to display outcomes for more than two events

I can systematically find all the possible outcomes for more than two events by using an outcome tree diagram.

## Lesson details

### Key learning points

- Possible outcomes for more than two events can be shown in an outcome tree diagram.
- The outcome tree diagram can be used to generate a list.
- An outcome tree can be generated from a list.

### Common misconception

An outcome tree can only have a maximum of three layers of branches.

An outcome tree can have as many layers of branches as needed, depending on the number of stages there are in a trial. For example, if a trial involved flipping 7 coins, then there would be 7 layers of branches! That's too probably too many to draw!

### Keywords

Tree diagrams - Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.

Outcome tree - Each branch of an outcome tree shows a possible outcome from an event or from a stage of a trial. The full outcome tree shows all possible outcomes.

Sample space - A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

Loading...

## Starter quiz

### 6 Questions

1

9

36

4

16

## Exit quiz

### 6 Questions

E

G

TGH

G

UGI

not possible

2

18

9

15