# Exam-Style Question on Probability

## A mathematics exam-style question with a worked solution that can be revealed gradually

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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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