NC NA Choose the higher probability from two fractions randomised (7)

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Name	Status	Author	Last Modified
NC NA Choose the higher probability from two fractions randomised (7)	Ready to use	Adelle Colbourn	02/11/2020 02:23
NC SP Find the experimental probability of a rainy day (7)	Ready to use	Adelle Colbourn	02/11/2020 04:54

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Question statement

It has rained on the day of the {school1} Primary School swimming carnival {rainydays1} times in the past {years1} years.

It has rained on the day of the {school2} Primary School swimming carnival {rainydays2} times in the past {years2} years.

Give any introductory information the student needs.

			Name	Type	Generated Value

scenarios	list	List of 7 items
scenario	dict	Dictionary with 6 entries
school1	string	Greenville
rainydays1	number	4
years1	number	25
school2	string	Timbertown
rainydays2	number	4
years2	number	20

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Name

Data type

Value

xxxxxxxxxx
 
[
  {
    "school1": "Windy Ridge",
    "rainydays1": 4,
    "years1": 25,
    "school2": "West Wingham",
    "rainydays2": 3,
    "years2": 20
  },
  {
    "school1": "East Epson",
    "rainydays1": 3,
    "years1": 25,
    "school2": "North Norton",
    "rainydays2": 2,
    "years2": 20
  },
  {
  "school1": "UpRiver",
    "rainydays1": 2,
    "years1": 25,
    "school2": "DownRiver",
    "rainydays2": 3,
    "years2": 50
    },
  {
  "school1": "South Somerset",
    "rainydays1": 2,
    "years1": 25,
    "school2": "Sunny Corner",
    "rainydays2": 1,
    "years2": 20
    },
    {
  "school1": "MountainRidge",
    "rainydays1": 9,
    "years1": 50,
    "school2": "GreenValley",
    "rainydays2": 4,
    "years2": 20
    },
    {
  "school1": "SouthBeach",
    "rainydays1": 7,
    "years1": 50,
    "school2": "NorthLagoon",
    "rainydays2": 3,
    "years2": 20
    },
    {
  "school1": "Greenville",
    "rainydays1": 4,
    "years1": 25,
    "school2": "Timbertown",
    "rainydays2": 4,
    "years2": 20
    }
  ]

Description

A list of the possible different schools and their rainfall statistics.

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

Can an exam override the value of this variable?

Generated value: `list`

[ [ "school1": safe("Windy Ridge"), "rainydays1": 4, "years1": 25, "school2": safe("West Wingham"), "rainydays2": 3, "years2": 20 ], [ "school1": safe("East Epson"), "rainydays1": 3, "years1": 25, "school2": safe("North Norton"), "rainydays2": 2, "years2": 20 ], [ "school1": safe("UpRiver"), "rainydays1": 2, "years1": 25, "school2": safe("DownRiver"), "rainydays2": 3, "years2": 50 ], [ "school1": safe("South Somerset"), "rainydays1": 2, "years1": 25, "school2": safe("Sunny Corner"), "rainydays2": 1, "years2": 20 ], [ "school1": safe("MountainRidge"), "rainydays1": 9, "years1": 50, "school2": safe("GreenValley"), "rainydays2": 4, "years2": 20 ], [ "school1": safe("SouthBeach"), "rainydays1": 7, "years1": 50, "school2": safe("NorthLagoon"), "rainydays2": 3, "years2": 20 ], [ "school1": safe("Greenville"), "rainydays1": 4, "years1": 25, "school2": safe("Timbertown"), "rainydays2": 4, "years2": 20 ] ]

This variable doesn't seem to be used anywhere.

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Which school has the higher probability of rain on the day of the swimming carnival, assuming that the weather follows the long term average?

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{school1} Primary School

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{school2} Primary School

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The probability is the same for both schools.

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It is not possible to determine this based on the information given.

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Advice

To work out a probability, divide the number of desirable outcomes by the total number of outcomes.

In this case, the number of rainy days for {school1} is {rainydays1} and the total number of swimming carnival days is {years1}.

$\frac{\var{rainydays1}}{\var{years1}}$ can be converted to a fraction out of 100 by multiplying top and bottom by {100/{years1}}. This gives $\frac{\var{rainydays1/years1*100}}{100}$ which equals {rainydays1/years1} when written as a decimal.

(Alternatively, using a calculator, {rainydays1} divided by {years1} = {rainydays1/years1}).

This is the experimental probability of rain at the {school1} swimming carnival.

To get the probability of a rainy day for {school2}, $\frac{\var{rainydays2}}{\var{years2}}$ can be converted to a fraction out of 100 by multiplying top and bottom by {100/{years2}}. This gives $\frac{\var{rainydays2/years2*100}}{100}$ which equals {rainydays2/years2} when written as a decimal.

(Or, using a calculator, {rainydays2} divided by {years2} = {(rainydays2)/{years2}}).

Then compare the two decimals to decide which is higher.

{rainydays1/years1} is greater than {rainydays2/years2}.

Therefore {school1} has the higher probability of rain on the day of the swimming carnival.

{rainydays2/years2} is greater than {rainydays1/years1}.

Therefore {school2} has the higher probability of rain on the day of the swimming carnival.

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NC NA Choose the higher probability from two fractions randomised (7)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Adelle Colbourn 4 years, 5 months ago

Adelle Colbourn 5 years, 5 months ago

Adelle Colbourn 5 years, 8 months ago

Error in variable testing condition

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Generated value: `list`

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NC NA Choose the higher probability from two fractions randomised (7)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Adelle Colbourn 4 years, 5 months ago

Adelle Colbourn 5 years, 5 months ago

Adelle Colbourn 5 years, 8 months ago

Error in variable testing condition

Error

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Generated value: list

Parts

Choose one from a list

Advanced settings

Generated value: `list`