I'm trying to get the idea of independent events well grounded in my mind, but I'm having some difficulty. First of all, what would a venn diagram for independent events look like? I know you have the two events intersecting, and the intersection is equal to the product of the probabilities of the two events.... But all I can picture is a normal diagram of two events intersecting, which by eyeballing looks just like the diagram of any 2 events (depndent or independent). Is there something unique to the diagram of independent events? Mathematically, I just need to know that [tex] P(A \cap B) = P(A)P(B)[/tex] . But I can't form a graphical intuition about this, which I think would help me a lot. Incidentally, I can't help but keep picturing the venn diagram of mutually exclusive events as a representation of independent events... But I know that is dead wrong, since mutually exclusive events are dependent. Can anyone help me clarify this in my mind? Thanks!!