Skip to content
Oak National Academy
Oak National Academy
Teachers
Pupils
icon-background-square
New
New
Year 11
Foundation

Checking and securing displaying outcomes

I can display outcomes in various ways and place outcomes on the probability scale.

Download all resources
arrow-right
Share activities with pupils
arrow-right
icon-background-square
New
New
Year 11
Foundation

Checking and securing displaying outcomes

I can display outcomes in various ways and place outcomes on the probability scale.

Download all resources
arrow-right
Share activities with pupils
arrow-right
warning

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
View new resources
arrow-right

Lesson details

Key learning points

  1. Outcomes can be listed systematically using an appropriate representation
  2. Outcomes can be placed on the probability scale
  3. A probability of 0 means the outcome is impossible and a probability of 1 means the outcome is certain

Keywords

  • Trial - A trial is a single predefined test.

  • Outcome - An outcome is a result of a trial.

  • Theoretical probability - A theoretical probability is a probability based on counting the number of desired outcomes from a sample space where all individual outcomes are equally likely.

Common misconception

Pupils may omit outcomes or include repetitions of the same outcomes in their lists.

For each problem, encourage pupils to be systematic with their ordering of outcomes.


To help you plan your year 11 maths lesson on: Checking and securing displaying outcomes, download all teaching resources for free and adapt to suit your pupils' needs...

Pupils could explore using different systems of ordering for the same problem and then check that they have the same number of outcomes in each list.
speech-bubble
Teacher tip
copyright

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Skip lesson video

Loading...

Starter quiz

Download starter quiz

6 Questions

Q1.
A 6-sided die has one unique integer from 1 to 6 written on each of its faces. How many of its faces have a square number written on it?
0
1
Correct answer: 2
3
Not enough information
Q2.
Each card in a deck of 20 cards has a unique integer from 1 to 20 written on it. Which of these shows the set of prime number cards in this deck?
{3, 5, 7, 11, 13, 17, 19}
Correct answer: {2, 3, 5, 7, 11, 13, 17, 19}
{2, 3, 5, 7, 9, 11, 13, 17, 19}
{1, 3, 5, 7, 9, 11, 13, 15, 17, 19}
{1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19}
Q3.
Each card in a deck of 20 cards has a unique integer from 1 to 20 written on it. What fraction of cards in this deck are multiples of 3?
$$\frac{1}{20}$$
Correct answer: $$\frac{3}{10}$$
$$\frac{3}{20}$$
Correct answer: $$\frac{6}{20}$$
$$\frac{1}{3}$$
Q4.
Each card in a deck of 20 cards has a unique integer from 1 to 20 written on it. The percentage of cards that are factors of 10 is %.
Correct Answer: 20, 20%
Q5.
A die is in the shape of an octahedron. Each face on this die has a unique integer written on it. The die is rolled once. There are possible numbers that the die could land on.
Correct Answer: 8, eight
Q6.
Each card in a deck of cards has a unique, consecutive integer from 3 to $$x$$ written on it. Exactly half of the cards in the deck are multiples of 3. How many cards could be in this deck?
Correct answer: 2
3
Correct answer: 4
5
This deck is impossible.

Exit quiz

Download exit quiz

6 Questions

Q1.
Here are two decks of cards. A single card from Deck 1 is drawn. There are possible outcomes for drawing a card from Deck 1.
An image in a quiz
Correct Answer: 7, seven
Q2.
Here are two decks of cards. A single card from Deck 1 and a single card from Deck 2 is drawn. There are possible outcomes for for drawing one card from each deck.
An image in a quiz
Correct Answer: 14, fourteen
Q3.
Here are two decks of cards. A single card from Deck 1 is drawn. Match each event to its probability.
An image in a quiz
Correct Answer:P(G),$$\frac{1}{7}$$
tick

$$\frac{1}{7}$$

Correct Answer:P(vowel),$$\frac{2}{7}$$
tick

$$\frac{2}{7}$$

Correct Answer:P(consonant),$$\frac{5}{7}$$
tick

$$\frac{5}{7}$$

Correct Answer:P(letters in the word “CAVE”),$$\frac{3}{7}$$
tick

$$\frac{3}{7}$$

Q4.
A game uses this deck of cards. Each card shows one shape from: {rhombus, lightning, oval}. Each shape is either: {solid or hollow}. Find P(lightning).
An image in a quiz
$$\frac{4}{24}$$
Correct answer: $$\frac{8}{24}$$
$$\frac{1}{8}$$
$$\frac{1}{6}$$
Correct answer: $$\frac{1}{3}$$
Q5.
A game uses this deck of cards. Each card shows one shape from: {rhombus, lightning, oval}. Each shape is either: {solid or hollow}. A card is drawn randomly from this deck. Find P(4 shapes).
An image in a quiz
$$\frac{3}{24}$$
Correct answer: $$\frac{6}{24}$$
$$\frac{1}{8}$$
$$\frac{1}{6}$$
Correct answer: $$\frac{1}{4}$$
Q6.
A game uses this deck of cards. Each card shows one shape from: {rhombus, lightning, oval}. Each shape is either: {solid or hollow}. A card is drawn randomly from this deck. Find P(solid rhombus).
An image in a quiz
$$\frac{8}{24}$$
Correct answer: $$\frac{4}{24}$$
$$\frac{1}{8}$$
Correct answer: $$\frac{1}{6}$$
$$\frac{1}{4}$$