You are Here: Home >< Maths

# Maths statistics alevel question watch

1. Events a, b and c are defined in the sample space, s such that p(a)=0.4, p(b)= 0.2, p(anc) = 0.04 and p(buc)= 0.44. The events a and b are independent and b and c are mutually exclusive draw a Venn diagram.
2. What have you done so far? Where are you stuck?
3. (Original post by old_engineer)
What have you done so far? Where are you stuck?
I just don’t understand how to answer the question I am struggling to draw the Venn diagram all I can work out is the p(and) which is 0.08
I just don’t understand how to answer the question I am struggling to draw the Venn diagram all I can work out is the p(and) which is 0.08
It would just be 3 circles in a line, order B A C, where A intersects both B and C, but obviously B doesn't intersect C.
I just don’t understand how to answer the question I am struggling to draw the Venn diagram all I can work out is the p(and) which is 0.08
OK, there are three blobs, A, B and C. The value of P(A n C) is given so we know that those two blobs intersect, and by how much. We are told that B an C are mutually exclusive so we know that those two blobs do not intersect. From that, P(B u C) = P(B) + P(C).

Can you continue from there?
6. A and B are independent, therefore P(AnB) = p(a) x p(b). From this you can get the others
7. Thank you all so much

### Related university courses

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: February 16, 2018
Today on TSR

How do you think you'll do?

### University open days

Wed, 25 Jul '18
2. University of Buckingham
Wed, 25 Jul '18
3. Bournemouth University
Wed, 1 Aug '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