Exam-Style Question on Probability
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 372. This question is similar to one that appeared on an IB Standard paper in 2019. The use of a calculator is allowed.
A famous pole vaulter finds that she is successful on 85% of her attempts at clearing five metres. Her Wikipedia entry confirms that her success rate is 85%.
A field sports day event consists of 12 five-metre vaults.
a) Find the probability that she is successful on all 12 attempts.
b) Find the probability that she is successful on at least 8 attempts.
She can earn £50 in prize money for every successful vault
c) What can she expect her winnings to be in a one day event?
The probability that another vaulter is successful at clearing five metres 3 times out of 12 is 0.166.
d) What are the possible value(s) of his success rate?
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
Photograph of Woman Pole Vaulting over the bar by Rob Royce. via Good Free Photos
©1997 - 2022 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/