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If I'm given the outcome of a number of dice rolls (say, 5 twos, 8 threes, etc), is there a way to assign a probability that the dice are biased or unbiased? If so, how?

Or alternatively, how can I say with a given level of confidence that the dice are biased or unbiased? I'm not even sure if these are the same question.

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    This is a standard statistics question, and I believe the standard answer is to use a Chi-squared test. I realize this isn't very explanatory, so I'll let someone else with more knowledge write a better answer. But if this kind of thing interests you, you might want to pick up a book on introductory statistics. I think there's a lot a background stats knowledge needed to fully answer this question.2012-12-31
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    @Potato: I took statistics in high school and college, but for some reason, that is the one math course that never sticks for me... I think the reason is that the derivations for chi-squared tests, or the equation for the bell-curve, or even for [standard deviations](http://math.stackexchange.com/questions/4787) are never explained...2012-12-31

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