Bayes' Theorem Applet (SageMath)
Below is the applet that demonstrates Bayes' Theorem, which should open automatically using Sage Cell
In this applet, we are considering a test for some condition (perhaps we want to diagnoze a disease or administer a drug test).
You imput assumtions regarding the prevalence of the condition and the specificity/sensitivity for a test for the condition.
The outputs are the probabilities that, under the assumptions, given a positive test result you have the condition and that given a negative test result you have the condition.
Try playing around with the sliders -- what happens to our results as a disease gets more prevalent?