SA14 Probability - "sample space" - Numbas at mathcentre.ac.uk

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From users who are members of Skills Audits for Maths and Stats :

Will Morgan	said	Ready to use	1 year ago
Mash Sheffield	said	Needs to be tested	1 year, 3 months ago

History

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Michael Pan 11 months, 2 weeks ago

Published this.

○

Will Morgan 1 year ago

Gave some feedback: Ready to use

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Mash Sheffield 1 year, 3 months ago

Gave some feedback: Needs to be tested

○

Mash Sheffield 1 year, 3 months ago

Created this as a copy of Probability: Elementary probability.

Name	Status	Author	Last Modified
Probability: Elementary probability	Ready to use	Ruth Hand	16/01/2023 14:24
SA14 Probability - "sample space"	Ready to use	Mash Sheffield	04/04/2024 11:26

There are 8 other versions that do you not have access to.

Question statement

A bag contains:

$\var{srn}$ small, red tokens,
$\var{sbn}$ small, blue tokens,
$\var{brn}$ large, red tokens, and
$\var{bbn}$ large, blue tokens.

Give any introductory information the student needs.

			Name	Type	Generated Value

			Name	Type	Generated Value

srn	integer	3
brn	integer	15
sbn	integer	1
bbn	integer	7
total	integer	26
ans1	decimal	dec("0.58")
ans2	decimal	dec("0.15")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..20)

JME function reference

Description

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

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Generated value: `integer`

→ Used by:

ans2
total

Statement
Advice
"Part b)" - Minimum accepted value
"Part b)" - Maximum accepted value

Advice

part a)

A probability is a fraction. You can give your answer as a fraction, decimal or percentage as these are all equivalent.

The formula for probability is:

$P(A) = \frac{\text{number of possibilities for A}}{\text{number of total possible outcomes}}$

For this question the total possible outcomes are $\var{srn}+\var{sbn}+\var{brn}+\var{bbn} = \var{total}$ .

Therefore

$P(\text{A large red token}) = \frac{\var{brn}}{\var{total}} = \var[fractionnumbers]{brn/total}$

part b)

For this question we need to know the total number of small tokens, i.e. $\var{srn}+\var{sbn} = \var{srn+sbn}$ .

Therefore

$P(\text{A small token}) = \frac{\var{srn+sbn}}{\var{total}} = \var[fractionnumbers]{(srn+sbn)/total}$

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SA14 Probability - "sample space"

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Michael Pan 11 months, 2 weeks ago

Will Morgan 1 year ago

Mash Sheffield 1 year, 3 months ago

Mash Sheffield 1 year, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Number entry

Advanced settings

part a)

part b)

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Error

SA14 Probability - "sample space"

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Michael Pan 11 months, 2 weeks ago

Will Morgan 1 year ago

Mash Sheffield 1 year, 3 months ago

Mash Sheffield 1 year, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

part a)

part b)

Generated value: `integer`