New
New
Year 9

Using lists to display outcomes for more than two events

I can systematically find all the possible outcomes for more than two events by listing them.

New
New
Year 9

Using lists to display outcomes for more than two events

I can systematically find all the possible outcomes for more than two events by listing them.

Lesson details

Key learning points

  1. Possible outcomes for more than two events can be stated.
  2. Possible outcomes for more than two events can be listed.
  3. Possible outcomes for more than two events can be systematically listed.

Common misconception

Pupils want to avoid writing lists of outcomes.

Always model and bring explicit attention to a systematic list. The benefits of working systematically is the likelihood of error is reduced.

Keywords

  • Systematic - When listing outcomes systematically, they are listed in such a way as to ensure all outcomes are recorded.

As pupils are listing outcomes try to encourage them to think about how many they end up with and why. This will help with the product rule for counting in the future.
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 prime number is an integer greater than one with 2 factors. All integers greater than 1 are either composite or prime.
Correct Answer: exactly, only
Q2.
Match each type of number with an example.
Correct Answer:prime number,13

13

Correct Answer:square number,4

4

Correct Answer:cube number,27

27

Correct Answer:triangular number,10

10

Q3.
The list of possible outcomes when you spin this spinner twice is WW, WL, LW and , where W means win and L means lose.
An image in a quiz
Correct Answer: LL, L L, L,L, L, L
Q4.
These two fair spinners are to be spun. Which list of outcomes have been completed in a systematic way?
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
Correct Answer: An image in a quiz
An image in a quiz
Q5.
The Venn diagram shows two events A and B. The outcome is only in event A.
An image in a quiz
Correct Answer: 9, nine
Q6.
A standard fair six-sided dice is to be rolled. Match each event to the outcomes for that event.
Correct Answer:Factors of 6,{1, 2, 3, 6}

{1, 2, 3, 6}

Correct Answer:Square numbers,{1, 4}

{1, 4}

Correct Answer:Prime numbers,{2, 3, 5}

{2, 3, 5}

Correct Answer:Multiples of 4,{4}

{4}

Correct Answer:Factors of 15,{1, 3, 5}

{1, 3, 5}

Correct Answer:Even numbers,{2, 4, 6}

{2, 4, 6}

6 Questions

Q1.
An is a result of a trial (e.g. getting heads when flipping a coin once or getting two heads when flipping a coin twice).
Correct Answer: outcome
Q2.
Select the spinners which would have the same list of possible outcomes when spun four times.
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
The missing outcome in this systematic list is .
An image in a quiz
Correct Answer: 4ZH
Q4.
The missing outcome on the spinner is .
An image in a quiz
Correct Answer: lime, Lime
Q5.
Select the outcomes that are in event A, event B and event C.
An image in a quiz
apple
Correct answer: mango
fig
cherry
Correct answer: grape
Q6.
Jun would like a party hat that doesn't have a string, does have a topper and isn't stripy. Jun should choose hat C or hat .
An image in a quiz
Correct Answer: H, h