New
New
Year 9

Using two-way tables to display outcomes for two events

I can systematically find all the possible outcomes for two events by using a two-way table.

New
New
Year 9

Using two-way tables to display outcomes for two events

I can systematically find all the possible outcomes for two events by using a two-way table.

Lesson details

Key learning points

  1. Possible outcomes for two events can be listed in a table.
  2. The outcome table can be used to generate a list of outcomes.
  3. A list of outcomes can be used to generate an outcome table.

Common misconception

Pupils may worry about which event/stage of the trial should be the rows and which should be the columns in an outcome table.

Explain that the rows and columns can be transposed. Depending on the context AB and BA may be the same outcome, whereas in other contexts they may be two different outcomes, so a little care is needed in interpretation.

Keywords

  • Outcome table - An outcome table is a table that shows all the possible outcomes.

You may wish to uses the multi-stage trial outcome table as a discussion piece to the lesson. It might be nice to make the pupils combine two different stages first, then compare the outcomes to the outcome table in the slide deck.
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.
Which of these is not a prime number?
Correct answer: 1
2
3
5
7
Q2.
Which of these is the full factor list of 18?
2, 3, 6, 9
2, 3, 6, 9, 18
1, 2, 3, 6, 8, 18
Correct answer: 1, 2, 3, 6, 9, 18
Q3.
9, 27, 36, 45, 81, 108 are all multiples of and 9.
Correct Answer: 3, three
Q4.
Which of these fair spinners does not have equally likely outcomes?
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
Q5.
The possible outcomes from this fair spinner are {leg, pea, ant, nut, }.
An image in a quiz
Correct Answer: saw
Q6.
Which of these calculations leads to a square number?
3 + 4 + 7 + 10 − 2
Correct answer: 6 × 7 − 6
72 − 3 × 5
12 + 5 − 3 × 2

6 Questions

Q1.
An outcome table is a table that shows __________ of the possible outcomes.
Correct answer: all
none
some
Q2.
This outcome table shows all the possible outcomes for which spinner, when spun twice?
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
An image in a quiz
Q3.
Two teams are playing a football match. The table lists the outcomes when each team scores 1, 2 or 3 goals. Which outcome table is completed from team 1's perspective?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q4.
A spinner is spun. The outcome table shows two events; prime numbers and odd numbers. What is the sample space for the trial?
An image in a quiz
{2, 3, 5, 7}
{1, 3, 5, 7, 9}
Correct answer: {1, 2, 3, 4, 5, 6, 7, 8, 9}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Q5.
This two-way table shows shoe size and year group in a school. The number of students who are not in year 7 and have size 5 feet is .
An image in a quiz
Correct Answer: 266
Q6.
The missing frequency in this two-way table is .
An image in a quiz
Correct Answer: 29