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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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