This paper analyzes the use of mathematics and statistics in the legal process. Mathematics and law both have played an important role throughout the history of man, aiding in the advances that he has made over the centuries. In the trial process, mathematics and statistics have been applied as evidence to aid in the argument of cases. Presentation of statistical evidence data during a trial may, for instance, be improved by using Bayesian analysis to provide an informative conclusion for studies where data may be incomplete.

The application of mathematics and statistics disciplines in the legal process is in general analyzed by examining, three key case studies where mathematical and statistics concepts contributed to a successful outcome in terms of the correct verdict being given,

-The State of New Jersey v. Soto,

-The State of Indiana v. Azania and,

-The State of Pennsylvania v. Jamieson.

For each case, the application of mathematics and statistics is evaluated by breaking down the judicial process that was used in giving a verdict in the case into core steps of a trial by mathematics and the relevant application of Bayesian analysis.

These cases have shown that mathematics and statistics as disciplines have diverse applications and could be effectively used to improve the judicial system by enhancing the precision and accuracy of jury verdicts.

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