Exam-Style Question on Probability
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 133. This question is similar to one that appeared on a GCSE Higher paper in 2015. The use of a calculator is allowed.
On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hannah's sweets. Here is the Transum version of this now famous Maths exam question:
Hannah has 6 orange sweets and some yellow sweets.
Overall, she has \(n\) sweets.
The probability of her taking 2 orange sweets is \(\frac13\).
Prove that: \(n^2-n-90=0\)
Hence or otherwise find \(n\).
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