Probability, NAPX-p170160v01 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

663

Question

Harley has bag that contains 32 balls that are coloured either black or white.

Harley chose a ball without looking and had the chance of 3 in 8 of choosing a white ball.

How many black balls are in Harley's bag?

Worked Solution
Number of white balls = 38 ×32\dfrac{3}{8} \ \times 32
= 12

Number of black balls = Total balls – white balls
= 32 − 1232 \ − \ 12
= 20

Question Type

Answer Box

Variables

Variable nameVariable value
question
Harley has bag that contains 32 balls that are coloured either black or white. Harley chose a ball without looking and had the chance of 3 in 8 of choosing a white ball. How many black balls are in Harley's bag?
workedSolution
| | | | ------------: | ---------- | | Number of white balls | \= $\dfrac{3}{8} \ \times 32$ | | | \= 12 |

| | | | ------------- | ---------- | | Number of black balls | \= Total balls – white balls | | | \= $32 \ − \ 12$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
20
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer020

Variant 1

DifficultyLevel

640

Question

Ginger has a box of 48 ice-blocks in her fridge. Some ice-blocks have a prize on their paddle pop stick.

Ginger chooses one without looking and has a one in six chance of winning a prize.

How many ice-blocks in the box do not have a prize?

Worked Solution
Ice-blocks with prizes = 16 ×48\dfrac{1}{6} \ \times 48
= 8

Ice-blocks with no prize = 48 − 848 \ − \ 8
= 40

Question Type

Answer Box

Variables

Variable nameVariable value
question
Ginger has a box of 48 ice-blocks in her fridge. Some ice-blocks have a prize on their paddle pop stick. Ginger chooses one without looking and has a one in six chance of winning a prize. How many ice-blocks in the box do not have a prize?
workedSolution
| | | | ------------: | ---------- | | Ice-blocks with prizes | \= $\dfrac{1}{6} \ \times 48$ | | | \= 8 |

| | | | ------------- | ---------- | | Ice-blocks with no prize | \= $48 \ − \ 8$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
40
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer040

Variant 2

DifficultyLevel

682

Question

Dave buys tickets in the meat raffle at the RSL club.

A total of 56 tickets were sold and Dave has a 2 in 7 chance of winning a prize.

How many tickets sold will not win a prize?

Worked Solution
Number of winning tickets = 27 ×56\dfrac{2}{7} \ \times 56
= 16

Losing tickets = Total tickets – winning tickets
= 56 − 1656 \ − \ 16
= 40

Question Type

Answer Box

Variables

Variable nameVariable value
question
Dave buys tickets in the meat raffle at the RSL club. A total of 56 tickets were sold and Dave has a 2 in 7 chance of winning a prize. How many tickets sold will not win a prize?
workedSolution
| | | | ------------: | ---------- | | Number of winning tickets| \= $\dfrac{2}{7} \ \times 56$ | | | \= 16 |

| | | | ------------- | ---------- | | Losing tickets | \= Total tickets – winning tickets| | | \= $56 \ − \ 16$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
40
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer040

Variant 3

DifficultyLevel

674

Question

Karen collects 81 grasshoppers for a research project.

If Karen chooses a grasshopper at random, there is a 2 in 3 chance it is a female.

How many male grasshoppers did Karen collect?

Worked Solution
Number of females = 23 ×81\dfrac{2}{3} \ \times 81
= 54

Number of males = 81 – 54
= 27

Question Type

Answer Box

Variables

Variable nameVariable value
question
Karen collects 81 grasshoppers for a research project. If Karen chooses a grasshopper at random, there is a 2 in 3 chance it is a female. How many male grasshoppers did Karen collect?
workedSolution
| | | | ------------: | ---------- | | Number of females| \= $\dfrac{2}{3} \ \times 81$ | | | \= 54 |

| | | | ------------- | ---------- | | Number of males | \= 81 – 54| | | \= {{{correctAnswer0}}} |
correctAnswer0
27
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer027

Variant 4

DifficultyLevel

677

Question

Murray exhibits 54 of his best photos at an art gallery. His photos are either landscape photos or portraits.

If a visitor goes to the exhibition and looks at one of Murray's photos, there is a 2 in 9 chance it is a portrait.

How many landscape photos is Murray exhibiting at the gallery?

Worked Solution
Number of portraits = 29 ×54\dfrac{2}{9} \ \times 54
= 12

Number landscapes = 54 – 12
= 42

Question Type

Answer Box

Variables

Variable nameVariable value
question
Murray exhibits 54 of his best photos at an art gallery. His photos are either landscape photos or portraits. If a visitor goes to the exhibition and looks at one of Murray's photos, there is a 2 in 9 chance it is a portrait. How many landscape photos is Murray exhibiting at the gallery?
workedSolution
| | | | ------------: | ---------- | | Number of portraits| \= $\dfrac{2}{9} \ \times 54$ | | | \= 12 |

| | | | ------------- | ---------- | | Number landscapes | \= 54 – 12| | | \= {{{correctAnswer0}}} |
correctAnswer0
42
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer042

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