# Problem solving with possible outcomes

I can choose an appropriate diagram to display the outcomes for different events.

# Problem solving with possible outcomes

I can choose an appropriate diagram to display the outcomes for different events.

## Lesson details

### Key learning points

- The possible outcomes can be displayed for two or more events using an appropriate diagram.
- The various diagrams can be evaluated and the appropriateness of each diagram decided.
- The likelihood of an outcome can be determined using a mixture of different diagrams.

### Common misconception

Outcome tables and outcome trees only work for outcomes that are all equally likely.

Outcome tables can be separated into more rows and columns, and outcome trees split into more branches, to show outcomes that are more or less likely than other ones. This does mean these diagrams do get massive very quickly!

### Keywords

Likelihood - Likelihood describes the chance that a particular event occurs.

Outcome table - An outcome table is a table that shows all the possible 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.

Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.

### 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

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## Starter quiz

### 6 Questions

a -

8

b -

144

c -

81

d -

201

a -

28

b -

35

c -

280

d -

77

a -

21

b -

5

c -

49

d -

7

e -

15

a -

56

b -

14

c -

84

d -

21

## Exit quiz

### 6 Questions

a -

X X

b -

Y X

c -

Y Y

d -

Z X

e -

Z Z

The event that Alex wins... -

is the most likely outcome.

The event that Sam wins... -

is in between the least and most likely outcomes on a likelihood scale

The event that they draw... -

is the least likely outcome.

The most common outcome is... -

Y Y

The least common outcome is... -

X X

Y Y appears 1.5× as often as... -

XY