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Year 11

Foundation

Checking and securing displaying outcomes

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

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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

Share activities with pupils

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Lesson details

Key learning points

Outcomes can be listed systematically using an appropriate representation
Outcomes can be placed on the probability scale
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.

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.

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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Starter quiz

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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?

Correct answer: 2

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

Correct answer: 4

This deck is impossible.

Exit quiz

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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.

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.

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.

Correct Answer:P(G),$$\frac{1}{7}$$

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

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

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

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

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

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

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

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).

$$\frac{4}{24}$$

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).

$$\frac{3}{24}$$

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).

$$\frac{8}{24}$$

Correct answer: $$\frac{4}{24}$$

$$\frac{1}{8}$$

Correct answer: $$\frac{1}{6}$$

$$\frac{1}{4}$$