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Year 9 Maths Advanced Probability

Venn Diagrams

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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

a) \(170\)  b) \(\dfrac{23}{34}\)  c) \(\dfrac{4}{17}\)  d) \(\dfrac{10}{17}\) e)  \(\dfrac{3}{17}\)  f) \(\dfrac{16}{17}\)

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