New
New
Year 9

Non-equally likely outcomes

I can state when outcomes will not be equally likely.

New
New
Year 9

Non-equally likely outcomes

I can state when outcomes will not be equally likely.

Lesson details

Key learning points

  1. Events with outcomes that are likely to not be equally likely can be identified
  2. Outcomes that are not equally likely can be identified and compared
  3. Factors can be identified that can cause one outcome to be more/less likely than another

Common misconception

The outcomes of a trial are always equally likely to occur (e.g. each of the two players in a tennis match are equally likely to win).

There are factors that may affect how likely one outcome is compared to another (e.g. the skill or experience of one tennis player compared to the other).

Keywords

  • Event - An event is a subset of a sample space. It could be a particular outcome or be a set of outcomes that may occur from a trial.

Discuss other situations that have multiple outcomes and consider what factors may affect which outcome is more likely to occur (e.g. a pupil being on time or late for school, which lunch item the next person in the queue may pick, etc).
Teacher tip

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).

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6 Questions

Q1.
A __________ is a single predefined test.
likelihood
outcome
sample space
Correct answer: trial
Q2.
What is an 'outcome'?
Correct answer: a result of a trial
a single predefined test
the chance that a particular event will occur.
Q3.
Complete the following sample space for the outcomes of the spinner. ξ = {A, I, R, T, }.
An image in a quiz
Correct Answer: L
Q4.
A regular six-sided dice is rolled once. In which sample space are the outcomes equally likely?
ξ = {cube number, not a cube number}
Correct answer: ξ = {factor of 10, not a factor of 10}
ξ = {multiple of 1, not a multiple of 1}
Q5.
In which spinner are all the outcomes equally likely?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q6.
A regular six-sided dice is rolled once. Which outcome would be equally likely to rolling a multiple of 3?
rolling an even number
rolling a factor of 12
rolling a multiple of 4
Correct answer: rolling a square number

6 Questions

Q1.
An is a subset of a sample space.
Correct Answer: event
Q2.
Which statement is true for this spinner?
An image in a quiz
Correct answer: The most likely outcome is for it to land on 'lose'.
The most likely outcome is for it to land on 'win'.
The two outcomes are equally likely to happen.
Q3.
In which spinner is landing on 'win' more likely than landing on 'lose'?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q4.
A counter is selected at random form the bag. Which letter is most likely to be selected?
An image in a quiz
Correct answer: A
B
C
Q5.
A counter is selected at random form the bag. Which letter is least likely to be selected?
An image in a quiz
A
B
Correct answer: C
Q6.
A single dice is rolled once. Which event is the most likely to happen?
Correct answer: rolling a factor of 6
rolling a multiple of 4
rolling an odd number
rolling a square number