Proving Independence: Probability Theory of A and B in a Simple Proof"

[FrogPad]

If A and B are independent, prove that $\bar A$, $\bar B$ are independent.

Could someone help me start this. It's due tomorrow. I managed to prove that [itex]\bar A [/tex] is independent with $B$ and that $\bar B$ is independent with $A$, but I can't get the last one (the question I put above). Just a little nudge would be good. I've been going in circles trying stuff, from De Morgans law, to every identity I can think of.<br /> <br /> Thanks[/itex]

 

[jing]

What are you using as the definition that A and B are independent?

 

[FrogPad]

What are you using as the definition that A and B are independent?

For A and B being independent,
P[AB]=P[A]P

 

[FrogPad]

The professor posted the solution. Later :)