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.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
There is a related activity called Pin Drop.
©1997 - 2021 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/