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YEAR 5 · PROBABILITY · 15 MIN

Listing outcomes

List all the results that can happen in a clearly described chance experiment.

In this lesson

Before you start
  • Sorting categories; reading a table
01 / LEARN

Understand the idea.

Say what is being recorded

An outcome is a possible result of a chance experiment. First decide what you will record: for a coin, the upper face; for a normal die, the top number. This tells you what belongs in the outcome list.

Work through the device and list every different result once. A die labelled 1 to 6 has those six possible top numbers. Check both ways: no available label is missing, and no impossible result, such as 7, has been added.

Names and chances are different

When recording a spinner's colour, list colour names rather than individual sectors. The shown spinner has four sectors but only three possible colours: red, blue and green. Repeated red sectors give more ways to get red, not a new colour name.

Keep the outcome list separate from the counts used to compare chances. A bag may contain several red counters, but 'red' appears once in its colour list. Having three colour names does not mean each colour has the same chance.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

A complete number list

A fair die is labelled 1 to 6. List the possible top numbers.

Worked solution

  1. 1

    Identify the result being recorded.

    The question asks for the top number, so outcomes are the face labels rather than colours or positions.

  2. 2

    List the six available labels once each.

    1, 2, 3, 4, 5, 6

    Each of these numbers labels one face and can therefore be the top number.

  3. 3

    Check the list against the die.

    All six available labels are present, and a number such as seven cannot occur because no face has that label.

Answer

1, 2, 3, 4, 5, 6.

EXAMPLE 02

A colour result

List the possible colours when one counter is selected from the supplied bag.

Six same-sized counters in a bag; choose without looking
ColourNumber of counters
Red3
Blue2
Green1

Worked solution

  1. 1

    Read the colour categories in the bag table.

    The table shows red, blue and green counters, so each of those colours can be selected.

  2. 2

    List each colour once: red, blue and green.

    The recorded outcome is colour; two red counters would still produce the same colour result.

  3. 3

    Check that the list contains no extra colours.

    Only the three listed colours occur in the bag, even though it contains six individual counters.

Answer

Red, blue, green.

03 / YOUR TURN

Try it yourself.

Check your understanding

A box contains only yellow and purple blocks. You record the colour of one selected block. What are the possible outcomes?

Show answer & reasoning

Yellow and purple.

The possible recorded outcomes are yellow and purple because those are the colours present. Each colour is listed once, regardless of how many blocks have that colour; no other colour can be selected from this box.

Keep practising

6 worksheet questions · 7 marks

Read the questions online
  1. List the outcomes of one coin toss when you record its upper face.
    1 mark
  2. A spinner has sectors labelled A, B, A, C. List its possible letter outcomes.
    1 mark
  3. Cards are numbered 2, 4, 6, 8. List the possible numbers when one card is selected.
    1 mark
  4. Could orange be selected from the supplied bag? Explain.
    1 mark
    Six same-sized counters in a bag; choose without looking
    ColourNumber of counters
    Red3
    Blue2
    Green1
  5. There are five black counters and one white counter. How many different colour outcomes are possible?
    1 mark
  6. A pupil lists 1, 2, 3, 4, 5, 6, 7 as the possible top numbers of a normal die. Correct the list.
    2 marks
Read the worked solutions

Equivalent correct methods earn the corresponding marks. Include units where asked.

  1. List the outcomes of one coin toss when you record its upper face.
    1 mark

    These are the coin's two face labels.

    Heads, tails.
  2. A spinner has sectors labelled A, B, A, C. List its possible letter outcomes.
    1 mark

    Each possible letter is listed once.

    A, B, C.
  3. Cards are numbered 2, 4, 6, 8. List the possible numbers when one card is selected.
    1 mark

    These are the four card labels.

    2, 4, 6, 8.
  4. Could orange be selected from the supplied bag? Explain.
    1 mark
    Six same-sized counters in a bag; choose without looking
    ColourNumber of counters
    Red3
    Blue2
    Green1

    Only red, blue and green counters are present.

    No.
  5. There are five black counters and one white counter. How many different colour outcomes are possible?
    1 mark

    Count distinct colour names, not individual counters.

    Two: black and white.
  6. A pupil lists 1, 2, 3, 4, 5, 6, 7 as the possible top numbers of a normal die. Correct the list.
    2 marks

    7 is impossible because the die has no face labelled 7.

    1, 2, 3, 4, 5, 6.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 / SA Curriculum 2026

Listing outcomes; equal/unequal likelihood; repeated trials; observed frequencies.

Official curriculum source ↗

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