Probability, NAPX9-TLB-20 v3

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

544

Question

A biased dice is rolled.

The probability of rolling an even number is 70%.

What is the probability of rolling an odd number?

Worked Solution

PP(odd number)
= 1 − P− \ P(even number)
= 1 − 0.701\ − \ 0.70
= 0.30
= 30%

Question Type

Answer Box

Variables

Variable nameVariable value
question
A biased dice is rolled. The probability of rolling an even number is 70%. What is the probability of rolling an odd number?
workedSolution
sm_nogap $P$(odd number)
>| | | ---------- | | \= 1 $− \ P$(even number)| | \= $1\ − \ 0.70$| | \= 0.30 | | \= {{{correctAnswer0}}}{{{suffix0}}} |
correctAnswer0
30
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
correctAnswer030

%

Variant 1

DifficultyLevel

545

Question

A biased dice is rolled.

The probability of rolling an odd number is 40%.

What is the probability of rolling an even number?

Worked Solution

PP(even number)
= 1 − P− \ P(odd number)
= 1 − 0.401\ − \ 0.40
= 0.60
= 60%

Question Type

Answer Box

Variables

Variable nameVariable value
question
A biased dice is rolled. The probability of rolling an odd number is 40%. What is the probability of rolling an even number?
workedSolution
sm_nogap $P$(even number)
>| | | ---------- | | \= 1 $− \ P$(odd number)| | \= $1\ − \ 0.40$| | \= 0.60 | | \= {{{correctAnswer0}}}{{{suffix0}}} |
correctAnswer0
60
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
correctAnswer060

%

Variant 2

DifficultyLevel

547

Question

A biased dice is rolled.

The probability of rolling an odd number is 55%.

What is the probability of rolling an even number?

Worked Solution

PP(even number)
= 1 − P− \ P(odd number)
= 1 − 0.551\ − \ 0.55%
= 0.45
= 45%

Question Type

Answer Box

Variables

Variable nameVariable value
question
A biased dice is rolled. The probability of rolling an odd number is 55%. What is the probability of rolling an even number?
workedSolution
sm_nogap $P$(even number)
>| | | ---------- | | \= 1 $− \ P$(odd number)| | \= $1\ − \ 0.55%$| | \= 0.45 | | \= {{{correctAnswer0}}}{{{suffix0}}} |
correctAnswer0
45
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
correctAnswer045

%

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