I'm trying to get the idea of independent events well grounded in my mind, but I'm having some difficulty.(adsbygoogle = window.adsbygoogle || []).push({});

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 ofmutually exclusiveevents 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!!

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# Homework Help: Probability - Independence Question

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