Importance Of Bayes Theorem In Law And Courtrooms

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D. How is Bayes theorem important in avoiding fallacies commonly made in law and courtrooms?
I. Base rate fallacy
If presented with related generic, general information and specific information (information pertaining only to a certain case), the mind tends to ignore the former and focus on the latter. This can be avoided using Bayes’ Theorem, as it takes into account prior probability (which is the probability assessed before making reference to certain relevant observations, especially subjectively or on the assumption that all possible outcomes be given the same probability) and posterior probability (which is the conditional probability that is assigned after the relevant evidence or background is taken into account)

Example: Drunk drivers …show more content…

Flaws of Bayes’ Theorem in Law and Courtrooms
The use of Bayes’ Theorem in legal cases have long been controversial for several of these reasons:
1) Assigning a subjective prior probability to the ultimate hypothesis is unreliable. This is because prior probabilities are often determined from past information or past events that may have slightly different parameters e.g. the probability of being guilty of murder given a history of domestic abuse and the probability of being guilty of murder given no history of domestic abuse have different parameters and thus cannot be seen as the same event. Prior probabilities could also be purely determined by an expert’s subjective assessment, which are subjected to flaws.
2) Not all evidence can be considered or valued in probabilistic terms. An example would be the type of voice the suspect has (raspy, high-pitched, deep) because there is no database to accurately form a probability for it.
3) Due to the complexity of cases and non-sequential nature of evidence presentation, any application of Bayes would be too cumbersome for a jury to use effectively and

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