Statistics and Probability, NAPX-J4-CA34 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

740

Question

Ziggy throws darts at a board split into 4 sections and records which section they hit.



Based on Ziggy's data, what is the probability that a dart he throws will land in section 1 or 2?

Express your answer as a percentage rounded to the nearest tenth of a percent.

Worked Solution
Number of throws = 45 + 22 + 13 + 9
= 89

∴\therefore Probability (1 or 2) = (45+22)89\dfrac{(45 + 22)}{89}
= 6789\dfrac{67}{89}
= 0.7528 …
= 75.3% (nearest tenth)

Question Type

Answer Box

Variables

Variable nameVariable value
question
Ziggy throws darts at a board split into 4 sections and records which section they hit.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA34.svg 380 indent vpad
Based on Ziggy's data, what is the probability that a dart he throws will land in section 1 or 2? Express your answer as a percentage rounded to the nearest tenth of a percent.
workedSolution
| | | | ------------: | ---------- | | Number of throws | \= 45 + 22 + 13 + 9 | | | \= 89 |

| | | | ------------: | ---------- | | $\therefore$ Probability (1 or 2) | \= $\dfrac{(45 + 22)}{89}$ | | | \= $\dfrac{67}{89}$ | | | \= 0.7528 … | | | = {{{correctAnswer0}}}{{{suffix0}}} (nearest tenth) |
correctAnswer0
75.3
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
correctAnswer075.3

%

Variant 1

DifficultyLevel

725

Question

Jarrod throws darts at a board split into 4 sections and records which section they hit.



Based on Jarrod's data, what is the probability that a dart he throws will land in section 2 or 4?

Express your answer as a percentage rounded to the nearest tenth of a percent.

Worked Solution
Number of throws = 45 + 22 + 13 + 9
= 89

∴\therefore Probability (2 or 4) = (22+9)89\dfrac{(22 + 9)}{89}
= 3189\dfrac{31}{89}
= 0.3483...
= 34.8% (nearest tenth)

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jarrod throws darts at a board split into 4 sections and records which section they hit.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA34.svg 380 indent vpad
Based on Jarrod's data, what is the probability that a dart he throws will land in section 2 or 4? Express your answer as a percentage rounded to the nearest tenth of a percent.
workedSolution
| | | | ------------: | ---------- | | Number of throws | \= 45 + 22 + 13 + 9 | | | \= 89 |

| | | | ------------: | ---------- | | $\therefore$ Probability (2 or 4) | \= $\dfrac{(22 + 9)}{89}$ | | | \= $\dfrac{31}{89}$ | | | \= 0.3483...| | | = {{{correctAnswer0}}}{{{suffix0}}} (nearest tenth) |
correctAnswer0
34.8
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
correctAnswer034.8

%

Variant 2

DifficultyLevel

740

Question

Sigmund throws darts at a board split into 4 sections and records which section they hit.



Based on Sigmund's data, what is the probability that a dart he throws will land in section 3 or 4?

Express your answer as a percentage rounded to the nearest tenth of a percent.

Worked Solution
Number of throws = 45 + 22 + 13 + 9
= 89

∴\therefore Probability (3 or 4) = (13+9)89\dfrac{(13 + 9)}{89}
= 2289\dfrac{22}{89}
= 0.2471...
= 24.7% (nearest tenth)

Question Type

Answer Box

Variables

Variable nameVariable value
question
Sigmund throws darts at a board split into 4 sections and records which section they hit.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA34.svg 380 indent vpad
Based on Sigmund's data, what is the probability that a dart he throws will land in section 3 or 4? Express your answer as a percentage rounded to the nearest tenth of a percent.
workedSolution
| | | | ------------: | ---------- | | Number of throws | \= 45 + 22 + 13 + 9 | | | \= 89 |

| | | | ------------: | ---------- | | $\therefore$ Probability (3 or 4) | \= $\dfrac{(13 + 9)}{89}$ | | | \= $\dfrac{22}{89}$ | | | \= 0.2471...| | | = {{{correctAnswer0}}}{{{suffix0}}} (nearest tenth) |
correctAnswer0
24.7
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
correctAnswer024.7

%

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