Die Fairness Test
Check whether the die is well-balanced based on the number of times each number appears when the die is rolled.
| Expected Value | TimesTheoretical frequency of each number appearing |
| Test Statistic (x) | Degree of variation in the frequency of each number appearing |
| Cumulative Probability | %The probability of this range of variation |
| Verification |
The cumulative probability is the probability that a fair die produces variation within the specified range. It is obtained from the upper-tail cumulative probability of the chi-squared distribution with 5 degrees of freedom for the test statistic x.
Over 50%: fair; 20% or less: suspect; 5% or less: stop using the die.
Over 50%: fair; 20% or less: suspect; 5% or less: stop using the die.
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