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Two ways a die could be tested for fairness are empirical and analytic.

In the empirical method, you throw the die a large number of times and measure the distribution of the results - they should be evenly distributed within whatever level of tolerance (based on number of trials) that you want.

In the analytic method, you measure the dimensions of the die with extremely accurate equipment. This must include checks for physical symmetry and balance. Balance is checked with a balance beam that allows the die to be rotated about various axes to make sure the center of gravity is in the center of the die.

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Q: What two ways could a die be tested to see if its fair?
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