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Homework Statement
Suppose
P(A|B) = P(A|B^c)
(P(B) > 0 and P(B^c) > 0 both understood). Show that A and B are independent.
Homework Equations
The Attempt at a Solution
I don't know where to go from here. Thanks for any help
[itex]\frac{P(A \bigcap B)}{P(B)} = \frac{P(A \bigcap B^{c})}{P(B^{c})}[/itex]
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