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How often can we expect a Major League Baseball team to score at least 20runs in a single game? Considered a rare event in baseball, the outcome ofscoring at least 20 runs in a game has occurred 224 times during regular seasongames since 1901 in the American and National Leagues. Each outcome is modeledas a Poisson process; the time of occurrence of one of these events does notaffect the next future occurrence. Using various distributions, probabilitiesof events are generated, goodness-of-fit tests are conducted, and predictionsof future events are offered. The statistical package R is employed foranalysis.

Building a model for scoring 20 or more runs in a baseball game