Exam-Style Question on Probability
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 162. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is not allowed.
Aran, Betsy and Connor collect data about which way up a drawing pin will land if dropped from a fixed height. Here are their results.
|Pin up||Pin down||Total|
Aran thinks "As a drawing pin can only land with its pin up or with its pin down so the probability of a drawing pin landing pin up is 0.5"
(a) Explain whether you agree or disagree with his statement and give a reason.
(b) Connor's results give the best estimate of the probability of a pin landing pin up. Explain why.
(c) Two pins are dropped. Estimate the probability that both pins land pin down.
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There is a related activity called Pin Drop.
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