Choose the probability of getting certain scores on a die

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Christian Lawson-Perfect

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Christian Lawson-Perfect

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Created this as a copy of Basic Probability Questions.

Name	Status	Author	Last Modified
Basic Probability Questions	Should not be used	Elliott Fletcher	20/11/2019 14:33
Choose the probability of getting certain scores on a die	Ready to use	Christian Lawson-Perfect	20/11/2019 14:34
Probability of flipping a coin and getting a tails	Ready to use	Christian Lawson-Perfect	20/11/2019 14:41
Probability of picking a particular colour ball from a bag	Ready to use	Christian Lawson-Perfect	20/11/2019 14:41
Maria's copy of Choose the probability of getting certain scores on a die	draft	Maria Aneiros	27/05/2019 02:29
Maria's copy of Probability of picking a particular colour ball from a bag	draft	Maria Aneiros	27/05/2019 02:32
Choose the probability of getting certain scores on a die	draft	Xiaodan Leng	11/07/2019 01:57
Probability of flipping a coin and getting a tails	draft	Xiaodan Leng	11/07/2019 01:58
Probability of picking a particular colour ball from a bag	draft	Xiaodan Leng	11/07/2019 01:58
Ugur's copy of Probability of picking a particular colour ball from a bag	Ready to use	Ugur Efem	28/04/2022 11:04

There are 24 other versions that do you not have access to.

Question statement

You're going to roll a fair six-sided die.

Give any introductory information the student needs.

			Name	Type	Generated Value

red	integer	15
die1	integer	1
die2	integer	4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(15,19)

JME function reference

Description

number of red balls in part c

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

Part a) Gap-fill
1. Gap Choose one from a list
  Add
Part b) Gap-fill
1. Gap Choose one from a list
  Add

Gap-fill

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

What is the probability of rolling an even number?

Unnamed gap

Advice

For equally likely outcomes, you can calculate the probability of a particular event occurring by using the formula

$\text{Probability of an event} = \displaystyle\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$ .

Rolling a fair six-sided die has six possible outcomes, each of which is equally likely.

Let's say we want to find the probability of rolling a $2$ . There is only one outcome which involves a $2$ being rolled, so the number of favourable outcomes is $1$ .

Hence using the above formula,

$\begin{align} P(\text{rolling a $2$}) &= \displaystyle\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}\\ &= \displaystyle\frac{1}{6} \end{align}$

a)

There are three possible outcomes where we roll an even number on the die:

we roll a $2$ ;
we roll a $4$ ;
we roll a $6$ .

Using the formula for probability for equally likely outcomes, this means that

$P(\text{rolling an even number}) = \frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}= \frac{3}{6} = \frac{1}{2}$

b)

To find the probability of not rolling a $\var{die1}$ or a $\var{die2}$ , we use the same formula again.

The total number of outcomes is still $6$ .

Here, we have four possible outcomes which don't involve rolling a $\var{die1}$ or a $\var{die2}$ , i.e. when we roll any of the other numbers on the die.

Using the formula,

$P(\text{not rolling a $\var{die1}$ or a $\var{die2}$}) = \frac{\text{number of favourable outcomes}}{\text{total number of outcomes}} = \frac{4}{6} = \frac{2}{3}$

Give a worked solution to the whole question.

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This question is used in the following exams:

Probability by Christian Lawson-Perfect in Transition to university.
Probability Test 1 by Dafydd Evans in Dafydd's workspace.
Introduction to Probability by Robert Aykroyd in Robert's workspace.
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Week 7 - Practice Exercises by Bobby Kahlon in Bobby's workspace.
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Introduction to Probability by Katie Bullen in Katie's workspace.
NUMBAS - Probability by Katy Dobson in Katy's workspace.
Probability by Simon Thomas in Stats.
Introduction to probability by Simon Thomas in Maths support.
Maria's copy of Introduction to Probability by Maria Aneiros in Maria's workspace.
Possible applicable questions from previous year by Tom Bold in Transition to university maths.
Week 6 - Practice Exercises - Probability by Bobby Kahlon in Bobby's workspace.
Probability 1 by Jeremie Wenger in Jeremie's workspace.
2020 Final Exam Replacement Assessment 2 (FE 2) Not MCQs by cormac murphy in cormac's workspace.
Maths 1A - Homework Week 10 (Probability) by Maria Aneiros in MY QUESTIONS.
Shaheen's copy of Probability by Shaheen Charlwood in Shaheen's workspace.
Probability Exam by Anna Cartlidge in Glasgow Numbas Question Pool.
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W14: Probability 1 by Alastair Ball in IQT.
Alastair's copy of W14: Probability 1 by Alastair Ball in IQT.
W14: Probability 1 by Alastair Ball in QTEF1.

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Choose the probability of getting certain scores on a die

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Christian Lawson-Perfect 7 years, 8 months ago

Christian Lawson-Perfect 7 years, 8 months ago

Christian Lawson-Perfect 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

a)

b)

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Choose the probability of getting certain scores on a die

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 7 years, 8 months ago

Christian Lawson-Perfect 7 years, 8 months ago

Christian Lawson-Perfect 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

a)

b)

Generated value: `integer`