Probability, NAP_10011

Question

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Worked Solution

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Variant 0

DifficultyLevel

358

Question

These identical coloured discs were in a bag.

Brandon selected one disc.

Which is the colour that is most likely to be selected by Brandon?

Worked Solution

Counting the discs of each type:

5 ×\times


4 ×\times


3 ×\times


Option 4 is incorrect as there are different numbers of each colour.


Therefore, is most likely.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
These identical coloured discs were in a bag. Brandon selected one disc. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-12-min.svg 220 indent2 vpad Which is the colour that is most likely to be selected by Brandon?
workedSolution
Counting the discs of each type:
>5 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-blue.svg)
>4 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-green.svg)
>3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-yellow.svg)
>Option 4 is incorrect as there are different numbers of each colour.
Therefore, ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-blue.svg) is most likely.
correctAnswer
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-blue.svg 40 indent vpad

Answers

Is Correct?Answer
x
✓
x
x

No one colour is more likely than the others.

Variant 1

DifficultyLevel

360

Question

These identical coloured discs were in a bag.

Eli selected one disc.

Which is the colour that is least likely to be selected by Eli?

Worked Solution

Counting the discs of each type:

5 ×\times


4 ×\times


3 ×\times


Option 4 is incorrect as there are different numbers of each colour.


Therefore, is least likely.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
These identical coloured discs were in a bag. Eli selected one disc. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-12-min.svg 220 indent2 vpad Which is the colour that is least likely to be selected by Eli?
workedSolution
Counting the discs of each type:
>5 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-blue.svg)
>4 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-green.svg)
>3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-yellow.svg)
>Option 4 is incorrect as there are different numbers of each colour.
Therefore, ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-yellow.svg) is least likely.
correctAnswer
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-yellow.svg 40 indent vpad

Answers

Is Correct?Answer
x
x
✓
x

No one colour is more likely than the others.

Variant 2

DifficultyLevel

363

Question

These identical numbered discs were in a bag.

Livvy selected one disc.

What is the chance that the disc Livvy selected is an even number?

Worked Solution

Counting the discs of each type:

Even Numbers:


3 ×\times


4 ×\times


1 ×\times


2 ×\times


Total number of even numbers is 10.


Odd Numbers:


3 ×\times


2 ×\times


3 ×\times


2 ×\times


Total number of odd numbers is 10.


Therefore, the chance that an odd number is selected is even.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
These identical numbered discs were in a bag. Livvy selected one disc. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-numbered-20.svg 220 indent2 vpad What is the chance that the disc Livvy selected is an even number?
workedSolution
Counting the discs of each type:
>Even Numbers:
>3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-2-min.svg)
>4 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-4-min.svg)
>1 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-6-min.svg)
>2 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-8-min.svg)
>>Total number of even numbers is 10.
>Odd Numbers:
>3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-1-min.svg)
>2 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-3-min.svg)
>3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-5-min.svg)
>2 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-9-min.svg)
>>Total number of odd numbers is 10.

>Therefore, the chance that an odd number is selected is {{correctAnswer}}.
correctAnswer
even

Answers

Is Correct?Answer
x

impossible

x

certain

x

unlikely

✓

even

Variant 3

DifficultyLevel

365

Question

These identical numbered discs were in a bag.

Manni selected one disc.

What is the chance that the disc Manni selected is an odd number?

Worked Solution

Counting the discs of each type:

Even Numbers:


3 ×\times


4 ×\times


1 ×\times


2 ×\times


Total number of even numbers is 10.


Odd Numbers:


3 ×\times


2 ×\times


3 ×\times


2 ×\times


Total number of odd numbers is 10.


Therefore, the chance that an odd number is selected is even.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
These identical numbered discs were in a bag. Manni selected one disc. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-numbered-20.svg 220 indent2 vpad What is the chance that the disc Manni selected is an odd number?
workedSolution
Counting the discs of each type:
>Even Numbers:
>3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-2-min.svg)
>4 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-4-min.svg)
>1 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-6-min.svg)
>2 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-8-min.svg)
>>Total number of even numbers is 10.
>Odd Numbers:
>3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-1-min.svg)
>2 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-3-min.svg)
>3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-5-min.svg)
>2 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-9-min.svg)
>>Total number of odd numbers is 10.

>Therefore, the chance that an odd number is selected is {{correctAnswer}}.
correctAnswer
even

Answers

Is Correct?Answer
✓

even

x

certain

x

impossible

x

highly likely

Variant 4

DifficultyLevel

367

Question

These identical numbered discs were in a bag.

Gay selected one disc.

What is the chance that the disc Gay selected had a 7 on it?

Worked Solution

The discs have the following numbers:



There are no discs with a 7 on them


Therefore, the chance that a disc with a 7 on it is selected is impossible.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
These identical numbered discs were in a bag. Gay selected one disc. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-numbered-20.svg 220 indent2 vpad What is the chance that the disc Gay selected had a 7 on it?
workedSolution
The discs have the following numbers:

>>![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-1-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-2-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-3-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-4-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-5-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-6-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-8-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-9-min.svg)
>There are no discs with a 7 on them

Therefore, the chance that a disc with a 7 on it is selected is {{correctAnswer}}.
correctAnswer
impossible

Answers

Is Correct?Answer
x

unlikely

x

certain

✓

impossible

x

even

Variant 5

DifficultyLevel

369

Question

These identical numbered discs were in a bag.

Julio selected one disc.

What is the chance that the disc Julio selected is a number less than 10?

Worked Solution

All the discs have numbers less than ten.



Therefore, the chance of a number being selected that is less than 10 is certain.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
These identical numbered discs were in a bag. Julio selected one disc. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-numbered-20.svg 220 indent2 vpad What is the chance that the disc Julio selected is a number less than 10?
workedSolution
All the discs have numbers less than ten.

>>![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-1-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-2-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-3-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-4-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-5-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-6-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-8-min.svg) ![](https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-number-9-min.svg)
Therefore, the chance of a number being selected that is less than 10 is {{{correctAnswer}}}.
correctAnswer
certain

Answers

Is Correct?Answer
x

even

✓

certain

x

unlikely

x

impossible

Tags

  • staging_suejones