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# Probability and sample space

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1. Need help with the following question:
A race takes place between three horses A;B and C. It is possible that one or more of
them may fall and so fail to complete the race. The finishing horses are recorded in the
order in which they finish.
i) Write down the sample space as a set of symbols. Explain your notation.
ii) Write down the event “The race is won by horse A” as a set.
iii) Write down the event “Horse B falls” as a set.
iv) Write down the event “All horses complete the race” as a set.
How could you handle the possibility that two or more horses arrive simultaneously?

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Updated: October 1, 2016
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