Simple Set THeory/Probability Problem

#1
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
#2
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
#3
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.