# Using an outcome tree to display outcomes for two events

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

# Using an outcome tree to display outcomes for two events

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

## Lesson details

### Key learning points

- Possible outcomes for two events can be shown in an outcome tree diagram.
- The outcome tree diagram can be used to generate either an outcome table or list.
- An outcome tree can be generated from either an outcome table or list.

### Common misconception

Every group of branches should have the same number of branches.

In a multi-staged trial, each stage may have a different number of outcomes. The number of branches in each group reflects the number of outcomes of a stage. This means each group of branches can be made from a different number of branches.

### 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

A -

30

B -

11

C -

121

D -

10

E -

5

## Exit quiz

### 6 Questions

a -

16

b -

27

c -

8

a -

11

b -

16

c -

13

a -

6

b -

14

c -

15

d -

5

e -

10