Probabilistic Dartboard

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Each point represents a dart thrown at the dartboard. The locations of the darts are sampled from either a uniform or normal distribution. In a uniform distribution, all points are equally likely. The uniform distribution is described by the range of possible values in the horizontal and vertical directions. In a normal distribution, center points are more likely than the edge points. The normal distribution is described by its mean (center) and standard deviation (spread).

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You can experiment with changing the parameters of the distributions to simulate a skillful dart thrower, one who tends to be consistently off in one direction, or one who is liable to hit anywhere in a particular area. Use a large number of darts to see the area covered by the chosen distribution with the selected parameters.

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Contributed by: Olivia M. Carducci (East Stroudsburg University) (March 2011)
Open content licensed under CC BY-NC-SA


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