The is the usual measure for the goodness of t between a list of experimental results and the list of their expectations. In a first part, our paper exemplifies this protocol with the simulation of rolling an unfair die (and everything works as in textbooks). In a second part, the same protocol is applied to rolling a fair die ... and almost everything is proven to go wrong. In a third part, this striking behavior is related to the nature of the set of all possible , which is continuous for a random unfair die, and coarse discrete for a fair die
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