I'm a little bit confused about independence of events. I've been reading about it,and doing some problems in order to get ready for my exam, but I still can't think of an example. The problem is to find a sample space with three events A,B,C that satisfy $$ P(A\cap B\cap C)=P(A)P(B)P(C) $$ but that aren't independent.
But if they satisfy the equation, aren't they supposed to be independent? Is there a book I can read about it?