Probability, NAPX-p116940v01

Question

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Worked Solution

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Variant 0

DifficultyLevel

485

Question

The arrow pictured below is spun once:



Which shape is the spinner least likely to land on?

Worked Solution

Least likely to land on the shape that takes up the the smallest area on the target.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The arrow pictured below is spun once:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-20-v2.svg 200 indent3 vpad
Which shape is the spinner least likely to land on?
workedSolution
Least likely to land on the shape that takes up the the smallest area on the target. {{{correctAnswer}}}
correctAnswer
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-20-v2b.svg 50 indent vpad

Answers

Is Correct?Answer
x
✓
x
x

same chance for each number

Variant 1

DifficultyLevel

510

Question

A spinning wheel has 3 different colours.



Which colour in the wheel is most likely to land on?

Worked Solution

By inspection, grey is the most likely as it it shades the largest area of the wheel.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A spinning wheel has 3 different colours.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q39.png 220 indent3 vpad
Which colour in the wheel is most likely to land on?
workedSolution
By inspection, grey is the most likely as it it shades the largest area of the wheel.
correctAnswer
Grey

Answers

Is Correct?Answer
x

White

x

Black

✓

Grey

x

All of the colours are equally likely

Variant 2

DifficultyLevel

512

Question

A small disk is thrown onto the table top pictured below.



It has an equal chance of landing in any square.

Which numbered square is the disk least likely to land in?

Worked Solution

Only 1 square is numbered 4 (all other numbers have 2 squares).

∴\therefore Least likely to land in square 4

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A small disk is thrown onto the table top pictured below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/NAPX5-TLA-12-v1.svg 200 indent3 vpad
It has an equal chance of landing in any square. Which numbered square is the disk least likely to land in?
workedSolution
Only 1 square is numbered 4 (all other numbers have 2 squares). $\therefore$ Least likely to land in square 4
correctAnswer
4

Answers

Is Correct?Answer
x

3

✓

4

x

5

x

same chance for each number

Variant 3

DifficultyLevel

505

Question

A spinning wheel has sections labelled with different numbers.



If the spinner has an equal chance of landing in each section, which of the numbers is the spinner most likely to land on?

Worked Solution

Since the spinner is divided into 8 equal sections and each number has 2 sections, all numbers are equally likely.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A spinning wheel has sections labelled with different numbers.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/p116940v03.png 200 indent3 vpad
If the spinner has an equal chance of landing in each section, which of the numbers is the spinner most likely to land on?
workedSolution
Since the spinner is divided into 8 equal sections and each number has 2 sections, all numbers are equally likely.
correctAnswer
All of the numbers are equally likely

Answers

Is Correct?Answer
x

1 or 3

x

1

x

2 or 4

✓

All of the numbers are equally likely

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