Statistics and Probability, NAPX-L4-CA08 v2, NAPX-L3-CA09 v2

Question

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Worked Solution

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Variant 0

DifficultyLevel

506

Question

Enigma uses this net to make a dice.



He rolls the dice once.

What is the chance that Enigma will roll a 4?

Worked Solution
PP(4) = number of 4’stotal possibilities\dfrac{\text{number of 4's}}{\text{total possibilities}}
= 26\dfrac{2}{6}
= 13\dfrac{1}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Enigma uses this net to make a dice.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/12/nap-L4-08-ver3.svg 200 indent3 vpad
He rolls the dice once. What is the chance that Enigma will roll a 4?
workedSolution
| | | | ------------: | ---------- | | $P$(4) | \= $\dfrac{\text{number of 4's}}{\text{total possibilities}}$ | | | \= $\dfrac{2}{6}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{3}$

Answers

Is Correct?Answer
x

12\dfrac{1}{2}

✓

13\dfrac{1}{3}

x

14\dfrac{1}{4}

x

16\dfrac{1}{6}

Variant 1

DifficultyLevel

507

Question

Tran uses this net to make a dice.



He rolls the dice once.

What is the chance that Tran will roll a 2?

Worked Solution
PP(2) = number of 2’stotal possibilities\dfrac{\text{number of 2's}}{\text{total possibilities}}
= 36\dfrac{3}{6}
= 12\dfrac{1}{2}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Tran uses this net to make a dice.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/12/nap-L4-08-ver3.svg 200 indent3 vpad
He rolls the dice once. What is the chance that Tran will roll a 2?
workedSolution
| | | | ------------: | ---------- | | $P$(2) | \= $\dfrac{\text{number of 2's}}{\text{total possibilities}}$ | | | \= $\dfrac{3}{6}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
✓

12\dfrac{1}{2}

x

13\dfrac{1}{3}

x

14\dfrac{1}{4}

x

16\dfrac{1}{6}

Variant 2

DifficultyLevel

508

Question

Toni uses this net to make a dice.



She rolls the dice once.

What is the chance that Toni will roll a 1?

Worked Solution
PP(1) = number of 1’stotal possibilities\dfrac{\text{number of 1's}}{\text{total possibilities}}
= 16\dfrac{1}{6}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Toni uses this net to make a dice.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/12/nap-L4-08-ver3.svg 200 indent3 vpad
She rolls the dice once. What is the chance that Toni will roll a 1?
workedSolution
| | | | ------------: | ---------- | | $P$(1) | \= $\dfrac{\text{number of 1's}}{\text{total possibilities}}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{6}$

Answers

Is Correct?Answer
x

12\dfrac{1}{2}

x

13\dfrac{1}{3}

✓

16\dfrac{1}{6}

x

14\dfrac{1}{4}

Variant 3

DifficultyLevel

510

Question

Blyss uses this net to make a dice.



She rolls the dice once.

What is the chance that Blyss will roll a 1?

Worked Solution
PP(1) = number of 1’stotal possibilities\dfrac{\text{number of 1's}}{\text{total possibilities}}
= 26\dfrac{2}{6}
= 13\dfrac{1}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Blyss uses this net to make a dice.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed.svg 150 indent3 vpad
She rolls the dice once. What is the chance that Blyss will roll a 1?
workedSolution
| | | | ------------: | ---------- | | $P$(1) | \= $\dfrac{\text{number of 1's}}{\text{total possibilities}}$ | | | \= $\dfrac{2}{6}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{3}$

Answers

Is Correct?Answer
x

14\dfrac{1}{4}

x

12\dfrac{1}{2}

x

16\dfrac{1}{6}

✓

13\dfrac{1}{3}

Variant 4

DifficultyLevel

512

Question

Chusi uses this net to make a dice.



She rolls the dice once.

What is the chance that Chusi will roll a 1?

Worked Solution
PP(1) = number of 1’stotal possibilities\dfrac{\text{number of 1's}}{\text{total possibilities}}
= 36\dfrac{3}{6}
= 12\dfrac{1}{2}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Chusi uses this net to make a dice.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed-1.svg 200 indent3 vpad
She rolls the dice once. What is the chance that Chusi will roll a 1?
workedSolution
| | | | ------------: | ---------- | | $P$(1) | \= $\dfrac{\text{number of 1's}}{\text{total possibilities}}$ | | | \= $\dfrac{3}{6}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
x

16\dfrac{1}{6}

x

34\dfrac{3}{4}

✓

12\dfrac{1}{2}

x

13\dfrac{1}{3}

Variant 5

DifficultyLevel

514

Question

Aldo uses this net to make a dice.



He rolls the dice once.

What is the chance that Aldo will roll a 3?

Worked Solution
PP(3) = number of 3’stotal possibilities\dfrac{\text{number of 3's}}{\text{total possibilities}}
= 46\dfrac{4}{6}
= 23\dfrac{2}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Aldo uses this net to make a dice.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed-2.svg 200 indent3 vpad
He rolls the dice once. What is the chance that Aldo will roll a 3?
workedSolution
| | | | ------------: | ---------- | | $P$(3) | \= $\dfrac{\text{number of 3's}}{\text{total possibilities}}$ | | | \= $\dfrac{4}{6}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{2}{3}$

Answers

Is Correct?Answer
x

56\dfrac{5}{6}

✓

23\dfrac{2}{3}

x

16\dfrac{1}{6}

x

34\dfrac{3}{4}

Variant 6

DifficultyLevel

516

Question

Ari uses this net to make a dice.



He rolls the dice once.

What is the chance that Ari will roll a 2?

Worked Solution
PP(2) = number of 2’stotal possibilities\dfrac{\text{number of 2's}}{\text{total possibilities}}
= 36\dfrac{3}{6}
= 12\dfrac{1}{2}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ari uses this net to make a dice.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed-3.svg 200 indent3 vpad
He rolls the dice once. What is the chance that Ari will roll a 2?
workedSolution
| | | | ------------: | ---------- | | $P$(2) | \= $\dfrac{\text{number of 2's}}{\text{total possibilities}}$ | | | \= $\dfrac{3}{6}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
x

16\dfrac{1}{6}

x

56\dfrac{5}{6}

x

13\dfrac{1}{3}

✓

12\dfrac{1}{2}

Variant 7

DifficultyLevel

518

Question

Soula uses this net to make a dice.



She rolls the dice once.

What is the chance that Soula will roll a 5?

Worked Solution
PP(5) = number of 5’stotal possibilities\dfrac{\text{number of 5's}}{\text{total possibilities}}
= 16\dfrac{1}{6}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Soula uses this net to make a dice.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed-3.svg 200 indent3 vpad
She rolls the dice once. What is the chance that Soula will roll a 5?
workedSolution
| | | | ------------: | ---------- | | $P$(5) | \= $\dfrac{\text{number of 5's}}{\text{total possibilities}}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{6}$

Answers

Is Correct?Answer
✓

16\dfrac{1}{6}

x

13\dfrac{1}{3}

x

56\dfrac{5}{6}

x

14\dfrac{1}{4}

Tags

  • staging_suejones