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Probability, NAP-K4-CA19

A country school surveyed 120 of its students about the type of animals they have at home.

The results are recorded in the Venn diagram below, although the number of students who only own horses is missing.
 

If one of the students is selected at random, what is the probability that the student does not own a goat?

`40/120` `60/120` `80/120` `100/120`
 
 
 
 
Show Answers Only

`80/120`

Show Worked Solution

`text(Number of students who do not own a goat)`

`= 120 – (9 + 7 + 4 + 20)`

`= 120 – 40`

`= 80`

`:.\ text(Probability) = 80/120`

Filed Under: Probability, Probability Tagged With: Band 8, smc-3191-60-Venn diagrams, smc-682-60-Venn diagrams

Probability, NAP-I4-CA19

Zilda asked 45 eighteen year olds whether they work, go to school, do both or do neither.

The Venn diagram shows the results.
 

 naplan-2016-19mc

 
What is the probability that a person randomly selected from the group goes to school and works, rounded to three decimal places?

`0.778` `0.158` `0.093` `0.079` `0.067`
 
 
 
 
 
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`0.067`

Show Worked Solution

 `P\ text{(go to school and works)}`

`= 3/45`

`= 0.067`

Filed Under: Probability, Probability Tagged With: Band 8, smc-3191-60-Venn diagrams, smc-682-60-Venn diagrams

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