Question 8 of 10Pro Only
Explain Bayes'' Theorem and solve this problem: A disease affects 1 in 1000 people. A test for this disease is 99% accurate for those who have it and has a 2% false positive rate. If someone tests positive, what is the probability they actually have the disease?
Sample answer preview
Bayes'' Theorem is a fundamental formula in probability theory that describes how to update the probability of a hypothesis based on new evidence. It relates conditional probabilities and allows us to calculate the probability of a cause given an observed effect.
Bayes Theoremconditional probabilityprior probabilityposterior probabilitybase rate fallacyfalse positive