# Equally likely outcomes

I can state when outcomes will be equally likely.

# Equally likely outcomes

I can state when outcomes will be equally likely.

## Lesson details

### Key learning points

- A set of possible outcomes can be stated.
- Outcomes can be evaluated to decide how likely they are.
- Outcomes with the same likelihood can be identified.

### Common misconception

Rolling a 6 on a dice is less likely to happen than rolling other numbers. Or ticket 001 is less likely to be drawn in a raffle than other tickets.

The random nature of picking a raffle or rolling a dice means all outcomes are equally likely as each other.

### Keywords

Outcome - An outcome is a result of a trial.

Likelihood - Likelihood describes the chance that a particular event will occur.

Trial - A trial is a single predefined test.

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

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## Starter quiz

### 6 Questions

a -

$${1}\over{4}$$

b -

$${1}\over{3}$$

c -

$${5}\over{12}$$

## Exit quiz

### 6 Questions

trial -

a single predefined test

outcome -

a result of a trial

sample space -

all the possible outcomes of a trial

likelihood -

describes the chance that a particular event will occur