Proving physical device with probability?

potaeto

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Joined
Apr 7, 2010
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1
Hello,
I'm trying to do a project on random number generations, by comparing 2 Gaussian White Noises(N1 and N2).
If N1>N2, the output is 1. If N1<N2 it's 0.
Problem is I have to prove that the output is fair randomed ( equal probability for 1s and 0s).

Can somebody please tell me how I should prove this concept?
 
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