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Year 9

Using lists to display outcomes for two events

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

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New
New
Year 9

Using lists to display outcomes for two events

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

Download all resources
Share activities with pupils

Lesson details

Key learning points

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

  • Systematically - 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).

Video

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Starter quiz

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6 Questions

Q1.
5, 15, 20, 35, 750 are all multiples of .
Correct Answer: 5, five
Q2.
Which of these numbers is not on a standard fair six-sided dice?
Correct answer: 0
1
2
3
4
Q3.
How many possible outcomes are there on this spinner?
An image in a quiz
1
Correct answer: 2
3
4
5
Q4.
Match the spinner to the possible outcomes.
An image in a quiz
Correct Answer:Spinner a,{apple, bread, carrot}

{apple, bread, carrot}

Correct Answer:Spinner b,{apple, bread, carrot, melon}

{apple, bread, carrot, melon}

Correct Answer:Spinner c,{apple, banana, carrot}

{apple, banana, carrot}

Correct Answer:Spinner d,{apple, carrot, melon}

{apple, carrot, melon}

Q5.
When rolling a standard fair six-sided dice, which of these events would be equally likely to occur?
'rolling a 6' and 'not rolling a 6'
Correct answer: 'rolling an odd number' and 'rolling an even number'
'rolling a square number' and 'not rolling a square number'
Correct answer: 'rolling a prime number' and 'not rolling a prime number'
Correct answer: 'rolling a square number' and 'rolling a multiple of 3'
Q6.
Laura correctly describes an event as having an unlikely chance of happening. According to the likelihood scale, which of these statements is true about the event?
It has 50% chance of happening
It has more than 50% chance of happening, but less than 100%
It has more than 50% chance of happening
Correct answer: It has less than 50% chance of happening, but more than 0%
It has less than 50% chance of happening

Exit quiz

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6 Questions

Q1.
These two spinner are spun. Which of the lists of outcomes have been completed systematically?
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
Q2.
The list of outcomes from the two spinners has been composed non-systematically. The outcome has been omitted.
An image in a quiz
Correct Answer: C1
Q3.
The outcomes of the two spinners can be systematically listed like this H1, H2, H3, H4, ... and so on. Finish the list by putting the outcomes in the correct order.
An image in a quiz
1 - H5
2 - T1
3 - T2
4 - T3
5 - T4
6 - T5
Q4.
A standard fair six-sided dice is going to be rolled. Event A = {prime number} and event B = {multiple of 3}. Which of these outcomes are in event A and event B?
2
Correct answer: 3
4
5
6
Q5.
This spinner is to be spun. Event A = {5 letter words} and event B = {words with consecutive double letters}. How many outcomes are in both event A and event B?
An image in a quiz
0
Correct answer: 1
2
3
4
Q6.
A standard fair six-sided dice is going to be rolled. Event A = {odd number} and event B = {4, 6}. Match the outcomes to the correct event.
Correct Answer:event A,{1, 3, 5}

{1, 3, 5}

Correct Answer:event B,{4, 6}

{4, 6}

Correct Answer:event A or event B,{1, 3, 4, 5, 6}

{1, 3, 4, 5, 6}

Correct Answer:event A and event B,$$\emptyset$$

$$\emptyset$$

Correct Answer:not event A nor event B,{2}

{2}