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Variant of the Josephus problem with 30 people and a step size of 9 – time progresses inwards along the spiral, green dots denoting live soldiers, grey dead soldiers, and crosses killings A medieval version of the Josephus problem involves 15 Turks and 15 Christians aboard a ship in a storm which will sink unless half the passengers are ...
George Box. The phrase "all models are wrong" was first attributed to George Box in a 1976 paper published in the Journal of the American Statistical Association.In the paper, Box uses the phrase to refer to the limitations of models, arguing that while no model is ever completely accurate, simpler models can still provide valuable insights if applied judiciously. [1]
Image credits: saverity40 Pollen, dust, animal, and certain food allergies (e.g., to nuts, shellfish, and dairy) are fairly common. But their severity has a huge range.
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The director randomly puts one prisoner's number in each closed drawer. The prisoners enter the room, one after another. Each prisoner may open and look into 50 drawers in any order. The drawers are closed again afterwards. If, during this search, every prisoner finds their number in one of the drawers, all prisoners are pardoned.
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It was a particular kind of box. The one used by the restaurant features artwork of a pizza kitchen: There's a brick oven, shelves stocked with ingredients, and, notably, two incongruous chefs at ...
Each time, a single ball is placed into one of the bins. After all balls are in the bins, we look at the number of balls in each bin; we call this number the load on the bin. The problem can be modelled using a Multinomial distribution, and may involve asking a question such as: What is the expected number of bins with a ball in them? [1]