Statistics and Probability, NAPX-G3-NC16

Question

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Worked Solution

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Variant 0

DifficultyLevel

570

Question

Zachary has a bag of marbles.

The number of marbles of each colour is recorded in the table below.


Colour Number of marbles
green 13
blue 2
white 3
red 9


Zachary randomly takes 1 marble out of his bag without looking.

What is the chance it is red?

Worked Solution
PP(red) = Number of red marblesTotal marbles\dfrac{\text{Number of red marbles}}{\text{Total marbles}}
= 927\dfrac{9}{27}
= 13\dfrac{1}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Zachary has a bag of marbles. The number of marbles of each colour is recorded in the table below.
>>| Colour | Number of marbles | |:-:|:-:| | green | 13| | blue | 2| | white | 3| | red | 9|

Zachary randomly takes 1 marble out of his bag without looking. What is the chance it is red?
workedSolution
| | | | ------------- | ---------- | | $P$(red) | \= $\dfrac{\text{Number of red marbles}}{\text{Total marbles}}$ | | | \= $\dfrac{9}{27}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{3}$

Answers

Is Correct?Answer
x

127\dfrac{1}{27}

x

19\dfrac{1}{9}

✓

13\dfrac{1}{3}

x

12\dfrac{1}{2}

Variant 1

DifficultyLevel

571

Question

Blinky is blowing up balloons for a birthday party.

The number of blown up balloons of each colour is recorded in the table below.


Colour Number of balloons
white 11
purple 7
orange 6
yellow 9


Blinky picks one balloon without looking and gives it to the first person who arrives at the party.

What is the chance it is white?

Worked Solution
PP(white) = Number of white balloonsTotal balloons\dfrac{\text{Number of white balloons}}{\text{Total balloons}}
= 1133\dfrac{11}{33}
= 13\dfrac{1}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Blinky is blowing up balloons for a birthday party. The number of blown up balloons of each colour is recorded in the table below.
>>| Colour | Number of balloons | |:-:|:-:| | white | 11| | purple | 7| | orange | 6| | yellow | 9|

Blinky picks one balloon without looking and gives it to the first person who arrives at the party. What is the chance it is white?
workedSolution
| | | | ------------- | ---------- | | $P$(white) | \= $\dfrac{\text{Number of white balloons}}{\text{Total balloons}}$ | | | \= $\dfrac{11}{33}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{3}$

Answers

Is Correct?Answer
x

111\dfrac{1}{11}

x

127\dfrac{1}{27}

x

12\dfrac{1}{2}

✓

13\dfrac{1}{3}

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