Statistics and Probability, NAPX-H4-NC20, NAPX-H3-NC26

Question

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Worked Solution

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Variant 0

DifficultyLevel

679

Question

A standard six-sided dice is rolled once.

What is the probability that the number on the top face is a factor of 6?

Worked Solution

Factors of 6 are: 6, 1, 3, 2

∴\therefore P(rolling a factor of 6)
= 46\dfrac{4}{6}
= 23\dfrac{2}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A standard six-sided dice is rolled once. What is the probability that the number on the top face is a factor of 6?
workedSolution
Factors of 6 are: 6, 1, 3, 2 sm_nogap $\therefore$ P(rolling a factor of 6)
>| | | | ------------- | ---------- | | | \= $\dfrac{4}{6}$| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{2}{3}$

Answers

Is Correct?Answer
x

56\dfrac{5}{6}

✓

23\dfrac{2}{3}

x

13\dfrac{1}{3}

x

16\dfrac{1}{6}

Variant 1

DifficultyLevel

680

Question

A standard six-sided die is rolled once.

What is the probability that the number on the top face is a factor of 12?

Worked Solution

Factors of 12 are: 12, 1, 6, 2 , 3, 4

∴\therefore P(rolling a factor of 12)
= 56\dfrac{5}{6}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A standard six-sided die is rolled once. What is the probability that the number on the top face is a factor of 12?
workedSolution
Factors of 12 are: 12, 1, 6, 2 , 3, 4 sm_nogap $\therefore$ P(rolling a factor of 12)
>| | | | ------------- | ---------- | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{5}{6}$

Answers

Is Correct?Answer
✓

56\dfrac{5}{6}

x

23\dfrac{2}{3}

x

12\dfrac{1}{2}

x

13\dfrac{1}{3}

Variant 2

DifficultyLevel

682

Question

Felix has 8 buttons in his pocket numbered 1 to 8.

He picks one of the buttons without looking.

What is the probability that the button is a factor of 12?

Worked Solution

Factors of 12 are: 12, 1, 6, 2 , 3, 4

∴\therefore P(choosing a factor of 12)
= 58\dfrac{5}{8}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Felix has 8 buttons in his pocket numbered 1 to 8. He picks one of the buttons without looking. What is the probability that the button is a factor of 12?
workedSolution
Factors of 12 are: 12, 1, 6, 2 , 3, 4 sm_nogap $\therefore$ P(choosing a factor of 12)
>| | | | ------------- | ---------- | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{5}{8}$

Answers

Is Correct?Answer
✓

58\dfrac{5}{8}

x

38\dfrac{3}{8}

x

12\dfrac{1}{2}

x

34\dfrac{3}{4}

Variant 3

DifficultyLevel

663

Question

A standard six-sided dice is rolled once.

What is the probability that the number on the top face is a factor of 4?

Worked Solution

Factors of 4 are: 4, 1, 2

∴\therefore P(rolling a factor of 4)
= 36\dfrac{3}{6}
= 12\dfrac{1}{2}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A standard six-sided dice is rolled once. What is the probability that the number on the top face is a factor of 4?
workedSolution
Factors of 4 are: 4, 1, 2 sm_nogap $\therefore$ P(rolling a factor of 4)
>| | | | ------------- | ---------- | | | \= $\dfrac{3}{6}$| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
x

16\dfrac{1}{6}

x

13\dfrac{1}{3}

✓

12\dfrac{1}{2}

x

23\dfrac{2}{3}

Variant 4

DifficultyLevel

673

Question

Bobby has 10 discs in a bag that are numbered 1 to 10.

He picks one of the discs out of the bag without looking.

What is the probability that the button is a factor of 6?

Worked Solution

Factors of 6 are: 6, 1, 2 3

∴\therefore P(choosing a factor of 6)
= 410\dfrac{4}{10}
= 25\dfrac{2}{5}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bobby has 10 discs in a bag that are numbered 1 to 10. He picks one of the discs out of the bag without looking. What is the probability that the button is a factor of 6?
workedSolution
Factors of 6 are: 6, 1, 2 3 sm_nogap $\therefore$ P(choosing a factor of 6)
>| | | | ------------- | ---------- | ||= $\dfrac{4}{10}$ | ||| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{2}{5}$

Answers

Is Correct?Answer
x

15\dfrac{1}{5}

x

310\dfrac{3}{10}

✓

25\dfrac{2}{5}

x

12\dfrac{1}{2}

Variant 5

DifficultyLevel

676

Question

Veronique has 10 discs in a bag that are numbered 1 to 10.

She picks one of the discs out of the bag without looking.

What is the probability that the button is a factor of 12?

Worked Solution

Factors of 12 are: 12, 1, 6, 2, 4, 3

∴\therefore P(choosing a factor of 6)
= 510\dfrac{5}{10}
= 12\dfrac{1}{2}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Veronique has 10 discs in a bag that are numbered 1 to 10. She picks one of the discs out of the bag without looking. What is the probability that the button is a factor of 12?
workedSolution
Factors of 12 are: 12, 1, 6, 2, 4, 3 sm_nogap $\therefore$ P(choosing a factor of 6)
>| | | | ------------- | ---------- | ||= $\dfrac{5}{10}$ | ||| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
x

25\dfrac{2}{5}

✓

12\dfrac{1}{2}

x

35\dfrac{3}{5}

x

710\dfrac{7}{10}

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