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?
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Photograph of Woman Pole Vaulting over the bar by Rob Royce. via Good Free Photos
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