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Exam-Style Question on ProbabilityA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 740. This question is similar to one that appeared on a GCSE Higher paper in 2022. The use of a calculator is allowed.
80 students are asked if they like History (\(H\)) and if they like Geography (\(G\)).
7 say they do not like History and do not like Geography.
45 say they like History.
54 say they like Geography.
(a) Draw a Venn diagram to represent this situation.
A student is chosen at random.
(b) Find the probability that this student likes History and likes Geography.
Two students are chosen at random.
(c) Find the probability that they both like Geography.
Two students who like History are chosen at random.
(d) Find the probability that they both also like Geography.
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