Year 9 Maths Core
Probability
Venn Diagrams
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Questions
Question 1
43931
A group of students were asked whether they are interested in English and whether they are interested in Maths. The Venn diagram shows the results. One student is chosen at random.
(ii) Find the probability that the student is interested in both English and Maths.
(iii) Find the probability that the student is interested in English or Maths, but not both.
(iv) Find the probability that the student is interested in neither subject. Give it as a percentage correct to \(1\) decimal place.
Part a:
64
students
1 mark
Part b:
\(\dfrac{45}{64}\)
\(\dfrac{1}{3}\)
\(\dfrac{1}{2}\)
\(\dfrac{19}{64}\)
Correct
Part c:
\(\dfrac{19}{32}\)
Correct
\(\dfrac{57}{64}\)
\(\dfrac{2}{3}\)
\(\dfrac{25}{64}\)
Part d:
10.9
\(\%\) (1 d.p)
1 mark
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