Exam-Style Question on Probability
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 306. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.
(a) There are 24 people at a Football Club supporters' meeting in Dudley. Thirteen of them are female.
First chosen Second chosen
Tracey draws the tree diagram above to show how two people could be chosen from the meeting at random. What is wrong with the probabilities shown on the diagram?
(b) Aynuk and Ayli play for Dudley Casuals Football Club. The probabilities that they will score a goal in the next match are 0.2 and 0.35 respectively.
The manager thinks that the probability that both players will score a goal in the next match is 0.2 + 0.35. Is the manager correct? Give reasons for your answer.
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