# Simple Set THeory/Probability Problem

#### crk05

##### New Member
Hello all,

I'm very new to statistics as well as this forum, so please bear with me.

I've tried solving this for about 30 minutes now and I've made pretty much 0 progress on it. The question is:

Suppose that evens A and C are mutually exclusive. P(not A)=0.7, P(CB)=0.4, what are the maximum and minimum values for P(not C)?

An answer is helpful, but what I'm really looking for is detailed steps on how to approach, simplify, and solve this problem.

Thanks in advance.

#### rogojel

##### TS Contributor
hi,
try to draw a Venn diagram. not A will take up 70% of the total area and C must be inside this area, right? CB will take up 40% of the same area. Now it should be easy to figure out how big the area covered by C could be.

regards

#### Dason

##### Ambassador to the humans
What does CB represent? Is that supposed to be the intersection of C and B? The complement of B? It's not clear from context.

#### rogojel

##### TS Contributor
I guessed intersection . The complement in the problem would be "not C"

#### Dason

##### Ambassador to the humans
I understand. It certainly would make the problem a lot easier if that was the case though eh?