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500 000 is enough to prove a random generator to be wrong huh?

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Easily, if you are interpreting the results subjectively.

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Huh???? Not sure if you are attacking my post or just mocking the OP.

If I play 500,000 hands, and I get dealt AA exactly x times, I can tell you exactly how confident I am that the results came from a random shuffle* . If I got dealt AA 0 times, I would be pretty confident that the shuffle wasn't random. If I were dealt it 2262 times, I naturally wouldn't have any particular reason to be suspicious. If I were dealt it 2,000 times, I'd have to run the math, but off the top of my head I'm pretty sure that would be suspicious.

I'm not sure why "objective" needs a FYP into "subjective".



*(to be more accurate, I can compare the hypotheses of a specific nonrandom shuffle to a random one)