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Venn Diagrams - Revision Quiz 1

Question 1 of 8

The venn diagram shows the students playing cricket, hockey and volleyball.

a. What is the total number of students ?
b. Calculate the probability of randomly selecting a student that played cricket or hockey but not both
c. Calculate the probability of randomly selecting a student that played volleyball only
d. Calculate the probability of randomly selecting a student that played hockey or volley ball but not both
e. Calculate the probability of randomly selecting a student that played at least two sports
f. Calculate the probability of randomly selecting a student that played at most two sports

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Venn Diagrams - Revision Quiz 1

Question 2 of 8

A group of students were asked about their interests in English and Maths.

a) How many students were asked?
b) Find the probability of selecting a student who has interest in both English and Maths
c) Find the probability of selecting a student who has interest in English or Maths but not both
d) Find the probability of selecting a student who has interest neither in English nor in Maths
e) What is the percentage probability of selecting a student who did not have interest in both English and Maths correct to one decimal place?
f) What is the percentage probability of the students who had interest in Maths?

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Venn Diagrams - Revision Quiz 1

Question 3 of 8

Lucas asked 170 students which juice they like to drink from orange, mango and pineapple juices. The results are shown in the Venn diagram.

a. How many students like to drink pineapple juice only?
b. Find the probability of selecting a student who prefers exactly two juices.
c. What is the probability of a student taking at least 2 juices?
d. Find the probability of selecting a student who prefers to take only one juice
e. Find the probability of selecting a student who prefers to take orange or mango juice but not pineapple juice
f. Find the probability of selecting a student who prefers to take at most 2 juices

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Venn Diagrams - Revision Quiz 1

Question 4 of 8

From the Venn Diagram, calculate the probability of randomly selecting a student that played hockey or volley ball but not both.

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Venn Diagrams - Revision Quiz 1

Question 5 of 8

From the adjacent Venn Diagram, what is the percentage probability of selecting a student who did not have interest in both English and Maths?

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Venn Diagrams - Revision Quiz 1

Question 6 of 8

The Venn diagram shows the results of a survey asking people if they watch TV or read when at home.

What is the probability of selecting a person who watches TV and reads?

Answer

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Venn Diagrams - Revision Quiz 1

Question 7 of 8

Sixty music students sing or play a musical instrument as indicated on the adjacent diagram.

What is the probability of selecting a student who sings or plays an instrument, but not both?

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Venn Diagrams - Revision Quiz 1

Question 8 of 8

The Venn diagram shows the number of Year 10 students who play tennis (T), basketball (B) or cricket (C).

What is the probability of selecting a student that plays basketball and cricket?

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Pythagoras Theorem Working with Numbers Algebra: Expanding and Factorising Trigonometry Indices and Scientific Notation Properties of Geometric Figures Equations Earning Money Coordinate Geometry and Graphs Surface Area and Volume Congruence and Similar Figures Probability Investigating Data Quadratics

Venn Diagrams - Questions

Q 1 More Questions

Question 1

The venn diagram shows the students playing cricket, hockey and volleyball.

a. What is the total number of students ?
b. Calculate the probability of randomly selecting a student that played cricket or hockey but not both
c. Calculate the probability of randomly selecting a student that played volleyball only
d. Calculate the probability of randomly selecting a student that played hockey or volley ball but not both
e. Calculate the probability of randomly selecting a student that played at least two sports
f. Calculate the probability of randomly selecting a student that played at most two sports

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Venn Diagrams - Revision Quiz 1

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Venn Diagrams - Revision Quiz 1

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