Roll a pair of dice - find probability at least one die shows a given number.

Error

There was an error loading the page.

Contributors

Feedback

From users who are not members of Statistics :

Anne-Sophie Kaloghiros

said

Ready to use

5 years, 4 months ago

History

○

Anne-Sophie Kaloghiros 5 years, 4 months ago

Gave some feedback: Ready to use

○

Xiaodan Leng 5 years, 8 months ago

Created this as a copy of Roll a pair of dice - find probability at least one die shows a given number..

Name	Status	Author	Last Modified
Roll a pair of dice - find probability at least one die shows a given number.	Ready to use	Newcastle University Mathematics and Statistics	04/04/2023 08:39
Roll a pair of dice - find probability at least one die shows a given number, , ,	draft	Nigel Atkins	01/03/2017 13:39
Roll a pair of dice - find probability at least one die shows a given number.	Ready to use	Xiaodan Leng	02/11/2019 21:05
Blathnaid's copy of Roll a pair of dice - find probability at least one die shows a given number.	draft	Blathnaid Sheridan	23/08/2019 17:51

There are 12 other versions that do you not have access to.

Question statement

Two fair six-sided dice are rolled.

Give any introductory information the student needs.

			Name	Type	Generated Value

number

integer

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..6)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

What is the probability of at least one die showing a $\var{number}$ ?

Probability = Unnamed gap

Enter your answer as a fraction and not a decimal.

Advice

Let $A$ be the event that first dice shows a $\var{number}$ $\Rightarrow P(A)=\frac{1}{6}$.

Let $B$ be the event that second dice shows a $\var{number}$ $\Rightarrow P(B)=\frac{1}{6}$.

$A$ and $B$ are independent events so $P(A\cap B) = P(A)\times P(B)$.

We want the probability $P(A \cup B)$ of either $A$ or $B$ showing $\var{number}$ and

\[\begin{eqnarray*} P(A \cup B) &=& P(A)+P(B)-P(A \cap B)\\ &=& P(A)+P(B)-P(A)P(B)\\ &=&\frac{1}{6}+ \frac{1}{6}-\frac{1}{36}\\ &=& \frac{11}{36} \end{eqnarray*} \]

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

Probability 2 by Jeremie Wenger in Jeremie's workspace.
Week 7 test by Anne-Sophie Kaloghiros in MA1670.
Paul's copy of CMPU2012-Probability by Paul Molloy in Paul's workspace.
CMPU2012-Probability by Blathnaid Sheridan in Blathnaid's workspace.
CMPU2012_CA2 by Blathnaid Sheridan in Blathnaid's workspace.
Probability Practice by cormac breen in cormac's workspace.

Loading...

Error

Roll a pair of dice - find probability at least one die shows a given number.

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Anne-Sophie Kaloghiros 5 years, 4 months ago

Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Roll a pair of dice - find probability at least one die shows a given number.

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Anne-Sophie Kaloghiros 5 years, 4 months ago

Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`