This GeoGebra worksheet can be used to explore the following problem, which is a classic application of Bayes' theorem: If a person tests positive for a disease, what is the probability that he or she is actually infected?[br][br]The user can enter the following quantities by using the input boxes or the sliders:[br][br] [b]Incidence[/b] is the percentage of the general population that is infected.[br] [b]False positive rate[/b] is the probability that a person who is not infected will test positive for the disease.[br] [b]False negative rate[/b] is the probability that a person who is infected will test negative for the disease.[br][br][br]The pie chart shows the conditional probability that a person is infected given that he or she tests positive for the disease.

This GeoGebra worksheet can be used to explore the following problem, which is a classic application of Bayes' theorem: If a person tests positive for a disease, what is the probability that he or she is actually infected?[br][br]The user can enter the following quantities by using the input boxes or the sliders:[br][br] [b]Incidence[/b] is the percentage of the general population that is infected.[br] [b]False positive rate[/b] is the probability that a person who is not infected will test positive for the disease.[br] [b]False negative rate[/b] is the probability that a person who is infected will test negative for the disease.[br][br][br]The pie chart shows the conditional probability that a person is infected given that he or she tests positive for the disease.