Re: mutually exclusive vs independent



So, "independent" can have the overlapping area in Veen diagram,
correct?

Then, what is "dependent"?

thx much

Reef Fish wrote:
Ethan.Johnsons@xxxxxxxxx wrote:
I thought I understood this, but getting back to me again.
Can you pls explain 'mutually exclusive' vs 'independent' for me with
examples if possible?

The simplest mnemonics for the DIFFERENCE between the two concepts is
that THEY are mutually exclusive, i.e., they cannot both happen!

A and B are mutually exclusive if A intersect B is the empty set,
hence
P(A and B) = 0.

If A and B are non-empty events, the they are independent IF and ONLY
IF
P(A and B) = P(A) * P(B)..NE. zero.

-- Reef Fish Bob.

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