You are Here: Home >< Maths

# Annoying S1 probability question watch

1. Okay then...

For those who want to jump straight to this in their Heinemann S1 books, it's the last part of 14 on P87, Ex 5C.

G, F and E are three events that are not independent or mutually exclusive.
P(G) = 25/60
P(F) = 26/60
P(E) = 44/60

P(G ∩ F) = 10/60
P(F ∩ E) = 15/60
P(G ∩ E) = 16/60

Find P(E ∩ F ∩ G).

Thanks to anyone who can help.
2. Don't we need more information, such as P(E u F u G)?
3. (Original post by Jonny W)
Don't we need more information, such as P(E u F u G)?
Well there's no more provided...

Actually no, P(E U F U G) = 1. That's actually quite helpful.
4. By considering a Venn diagram,

P(E u F u G)
= P(E) + P(F) + P(G) - P(E n F) - P(F n G) - P(G n E) + P(E n F n G)
= 9/10 + P(E n F n G)
5. (Original post by Jonny W)
By considering a Venn diagram,

P(E u F u G)
= P(E) + P(F) + P(G) - P(E n F) - P(F n G) - P(G n E) + P(E n F n G)
= 9/10 + P(E n F n G)
Thanks!

I'd actually just worked it out myself another way, but thanks loads for reminding me of that really important P(E u F u G) which I forgot.

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:
Updated: November 14, 2004
Today on TSR

### University open days

• University of Exeter
Wed, 24 Oct '18
Wed, 24 Oct '18
• Northumbria University
Wed, 24 Oct '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams