RAPH13 Q3-4

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}


Variant 0

DifficultyLevel

620

Question

Tom has a dice and rolls it repeatedly 54 times, each time recording which side faces up.

How many times should he expect to see the side four coming up?

Worked Solution

Probability of getting number four on a dice = 16\dfrac{1}{6}

PP (4 on a die) = 16 × 54\dfrac{1}{6} \ \times \ 54
= 9

Question Type

Answer Box

Variables

Variable nameVariable value
question
Tom has a dice and rolls it repeatedly 54 times, each time recording which side faces up. How many times should he expect to see the side four coming up?
workedSolution
Probability of getting number four on a dice = $\dfrac{1}{6}$
| | | | ------------- | ---------- | | $P$ (4 on a die) | \= $\dfrac{1}{6} \ \times \ 54$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
9
prefix0
suffix0
times

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
correctAnswer09

times


Variant 1

DifficultyLevel

622

Question

Maybelle has a coin and she tosses it and records which side is facing up when it lands.

She repeats this process 68 times.

How many times should she expect that the coin will land with heads facing up?

Worked Solution

Probability of getting heads on a coin = 12\dfrac{1}{2}

PP (heads) = 12 × 68\dfrac{1}{2} \ \times \ 68
= 34

Question Type

Answer Box

Variables

Variable nameVariable value
question
Maybelle has a coin and she tosses it and records which side is facing up when it lands. She repeats this process 68 times. How many times should she expect that the coin will land with heads facing up?
workedSolution
Probability of getting heads on a coin = $\dfrac{1}{2}$
| | | | ------------- | ---------- | | $P$ (heads) | \= $\dfrac{1}{2} \ \times \ 68$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
34
prefix0
suffix0
times

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

times

Tags

  • staging_suejones