You are Here: Home >< Maths

# Probability and sample space

Announcements Posted on
TSR's new app is coming! Sign up here to try it first >> 17-10-2016
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?
2. (Original post by uzman.4321)
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?
How could you handle the possibility that two or more horses arrive simultaneously?

Is this your question or is it part of the original question?

What have you done so far? Have you written a sample space?
3. (Original post by notnek)
How could you handle the possibility that two or more horses arrive simultaneously?

Is this your question or is it part of the original question?

What have you done so far? Have you written a sample space?
That's exactly what i was struggling; i think your meant to ignore the possibility of two or more horses arriving simultaneously. I've posted the full question as set by my lecture. There's no missing information
4. (Original post by uzman.4321)
That's exactly what i was struggling; i think your meant to ignore the possibility of two or more horses arriving simultaneously. I've posted the full question as set by my lecture. There's no missing information
You're creating your own sample space here so it doesn't really matter how you do it.

E.g. If your sample space was {ABC, BAC, AC, A, ...}

Where ABC represents A followed by B followed by C
And AC represents A followed by C and B fell.

Then you could have maybe A*CB

Where a * between two letters means that the two horses arrived simultaneously.

As long as you define what A*C means then this should be fine.
5. (Original post by notnek)
You're creating your own sample space here so it doesn't really matter how you do it.

E.g. If your sample space was {ABC, BAC, AC, A, ...}

Where ABC represents A followed by B followed by C
And AC represents A followed by C and B fell.

Then you could have maybe A*CB

Where a * between two letters means that the two horses arrived simultaneously.

As long as you define what A*C means then this should be fine.
Ok thanks, i wrote something similar

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: October 1, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams