A survey of 50 students found that:
- 28 students study Mathematics (set \(M\))
- 22 students study Physics (set \(P\) )
- 12 students study both Mathematics and Physics.
- Draw a Venn diagram to represent this information. (2 marks)
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- How many students study Mathematics but not Physics? (1 mark)
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- If a student is chosen at random, what is the probability that they do not study either subject? (1 mark)
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Show Answers Only
a.
b. \(\text{Using the Venn diagram:}\)
\(\text{Number who study Maths but not physics = 16}\)
c. \(P(\text{study both}) = \dfrac{12}{50}=24\%\)
Show Worked Solution
a.
b. \(\text{Using the Venn diagram:}\)
\(\text{Number who study Maths but not physics = 16}\)
c. \(P(\text{study neither}) = \dfrac{12}{50}=24\%\)