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Year 9 Maths Advanced Probability

Venn Diagrams

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Questions
Question 1
59263

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

Part a:
170
1 mark
Part b:
A.
\(\dfrac{23}{34}\)
Correct
B.
\(\dfrac{11}{34}\)
C.
\(\dfrac{34}{23}\)
D.
\(\dfrac{12}{17}\)
Part c:
A.
\(\dfrac{13}{17}\)
B.
\(\dfrac{4}{17}\)
Correct
C.
\(\dfrac{17}{4}\)
D.
\(\dfrac{5}{17}\)
Part d:
A.
\(\dfrac{7}{17}\)
B.
\(\dfrac{17}{10}\)
C.
\(\dfrac{10}{17}\)
Correct
D.
\(\dfrac{11}{17}\)
Part e:
A.
\(\dfrac{14}{17}\)
B.
\(\dfrac{17}{3}\)
C.
\(\dfrac{4}{17}\)
D.
\(\dfrac{3}{17}\)
Correct
Part f:
A.
\(\dfrac{16}{17}\)
Correct
B.
\(\dfrac{1}{17}\)
C.
\(\dfrac{17}{16}\)
D.
\(1\)

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