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I'm not enough of a mathematician to say whether your results prove anything or not. But in one respect, at least, you're wrong - the larger the sample, the more meaningful it is. It's not the other way around.
Try running it by the Wizard of Odds, and see what he says (he's busted a casino for cheating before). You might also try the "Probability" section at 2+2. There are some smart math guys there, who are very helpful.
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