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In spite of its title, the book mostly treats probability theory: the law oflarge numbers (regarded as a principle); formal definition of a random variableand law of distribution; the misnamed Cauchy distribution; functions now namedafter Dirac; difference between objective and subjective probabilities;approximation of the Bernoulli theorem for rare events (but not yet the Poissondistribution); investigation of the significance of empirical discrepancies.Following Laplace, he actually attributed probability to applied mathematics.  Poisson calculated the optimal number of jurors and of their majority forconviction/exoneration of the accused and in general studied the conditionsenabling to minimize miscarriage of justice. He replaced guilty and innocent byconvictable or not.

English Translation of Poisson's "Recherches sur la probabilit\'e des  jugements en mati\`ere criminelle et en mati\`ere civile" / "Researches into  the Probabilities of Judgements in Criminal and Civil Cases"