Equally likely outcomes | Maths | Quizalize & Oak National Academy

Starter quiz

Select all the numbers that are multiples of 3.

0.3

1

3 ✓

6 ✓

9 ✓
Select all the numbers that are factors of 3.

0.3

1 ✓

3 ✓

6

9
$What fraction of the circle is shaded?$

What fraction of the circle is shaded?

${1}\over{3}$

${3}\over{7}$

${3}\over{10}$ ✓

${3}\over{13}$
In which diagrams is half of the circle shaded?
$Jun wants to shade in <Math>{1}\over{3}</Math> of this whole circle. Jun should shade in <span class="blank">______</span> sectors of the circle.$

Jun wants to shade in ${1}\over{3}$ of this whole circle. Jun should shade in ______ sectors of the circle.

'4' ✓
$Match each letter to the fraction of the circle that is labelled with that letter.$

Match each letter to the fraction of the circle that is labelled with that letter.

a

⇔

${1}\over{4}$ ✓

b

⇔

${1}\over{3}$ ✓

c

⇔

${5}\over{12}$ ✓

Match each key words with its definition.

trial

⇔

a single predefined test ✓

outcome

⇔

a result of a trial ✓

sample space

⇔

all the possible outcomes of a trial ✓

likelihood

⇔

describes the chance that a particular event will occur ✓
$Complete the following sample space for the outcomes of the spinner. ξ = {A, I, L, R, <span class="blank">______</span> }.$

Complete the following sample space for the outcomes of the spinner. ξ = {A, I, L, R, ______ }.

'T' ✓
In which spinners are the outcomes 'win' and 'lose' equally likely?
Which outcomes are equally likely in this spinner?

A and B ✓

A and C

B and C
In which spinners are all the outcomes equally likely?
A regular six-sided dice is rolled once. In which sample space are the outcomes equally likely?

ξ = {factor of 6, not a factor of 6}

ξ = {multiple of 3, not a multiple of 3}

ξ = {odd, even} ✓

ξ = {square number, not a square number}

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Rolling a 6 on a dice is less likely to happen than rolling other numbers. Or ticket 001 is less likely to be drawn in a raffle than other tickets.

The random nature of picking a raffle or rolling a dice means all outcomes are equally likely as each other.

Outcome - An outcome is a result of a trial.
Likelihood - Likelihood describes the chance that a particular event will occur.
Trial - A trial is a single predefined test.
Sample space - A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.