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Probability - draw without replacement
A box contains n balls, m of these are red the rest white.
r are drawn without replacement.
What is the probability that at least one of the r is red?
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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Feedback
From users who are not members of Content created by Newcastle University :
| Bill Foster | said | Doesn't work | 6 years, 1 month ago |
History
Bill Foster 6 years, 1 month ago
Gave some feedback: Doesn't work
Newcastle University Mathematics and Statistics 9 years, 2 months ago
Created this.There is only one version of this question that you have access to.
| Name | Type | Generated Value |
|---|
| is | string |
are
|
||||
| marked | string |
coloured red the rest yellow
|
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| special | string |
coloured red
|
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| atleastone | number |
0.9545
|
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| container | string |
container
|
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| things | string |
balls
|
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| caught2 | string |
drawn
|
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| caught1 | string |
|
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| tol | number |
0.0001
|
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| prob |
Error evaluating variable prob: Variable
nochoices is not defined. |
|||||
| indef | string |
|
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| then | string |
|
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| returned | string |
|
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| nochoices |
Error evaluating variable nochoices: Can't compute combinations: k is less than zero
|
|||||
| prob0 | number |
0.0454545455
|
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| prob1 |
Error evaluating variable prob1: Variable
prob is not defined. |
|||||
| possiblechoices | number |
220
|
||||
| g | integer |
12
|
||||
| k | integer |
5
|
||||
| later | string |
Next
|
||||
| m | integer |
3
|
||||
| n | integer |
7
|
||||
| colour2 | string |
yellow
|
||||
| colour1 | string |
red
|
||||
| t | integer |
57
|
Generated value: string
- m
This variable doesn't seem to be used anywhere.
Parts
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
A{indef} {container} contains $\var{g}$ {things}. {Then} $\var{n}$ of these are {caught1} {marked} {returned}.
{Later} $\var{m}$ {things} {is} {caught2} without replacement.
What is the probability that at least one of the $\var{m}$ is {special}?
Input your answer to $4$ decimal places.
Probability =
Use this tab to check that this question works as expected.
| Part | Test | Passed? |
|---|---|---|
| Gap-fill | ||
| Hasn't run yet | ||
| Number entry | ||
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