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Skewed dice
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A non-uniform die.
Other than a coin flip, the most common probability example in introductory classes is based on a fair, uniform 6-sided die, where we assume that all sides are uniformly equal in probability.
The fundamentals of probability still hold if the assumption of uniformity is violated. Skewed dice were designed (by the author) to illustrate how pervasive the uniformity assumption is. These dice have been rolled a few hundred times to determine experimentally the probabilities of each number coming up.
Further exploration of skewed dice can be found here:
https://sinesofthingstocome.com/2021/08/20/skewed-dice-and-the-jims-birthday-problem/?fbclid=IwAR2RhxDRGZebnEd0PFTRic6qEtOTonSW5Yg_bfe0ZREXmJ701qrA8eY1KoQ
Other than a coin flip, the most common probability example in introductory classes is based on a fair, uniform 6-sided die, where we assume that all sides are uniformly equal in probability.
The fundamentals of probability still hold if the assumption of uniformity is violated. Skewed dice were designed (by the author) to illustrate how pervasive the uniformity assumption is. These dice have been rolled a few hundred times to determine experimentally the probabilities of each number coming up.
Further exploration of skewed dice can be found here:
https://sinesofthingstocome.com/2021/08/20/skewed-dice-and-the-jims-birthday-problem/?fbclid=IwAR2RhxDRGZebnEd0PFTRic6qEtOTonSW5Yg_bfe0ZREXmJ701qrA8eY1KoQ
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