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how are disjoint and independent different

Mathematics
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Two events A and B are disjoint if \(A\cap B=\emptyset\) A and B are independent if \(P(A\cap B)=P(A)\times P(B)\)
thanks
so if A and B were disjoint P(A U B)= P(A)+P(B) ?

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another way to look at it if A and B are disjoint...then if I know event A occurs then that means that B cannot occur..thus A and B are dependent (provided their individual probabilities are nonzero)
yes
I will remember that" when it is disjoint it is not independet"
correct...provided the nonzero probabilities
ok
since if P(A)=0 then \(P(A\cap B)=0\) and thus \[0=P(A\cap B)=P(A)\times P(B)=0\times P(B)=0\]

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