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4. Probability - Part 3 of 3!
4. Probability / Bayes' Theorem / Problem 6
Problem 6

A disease has prevalence 1% in a population. A diagnostic test has sensitivity 95% (P(test+|disease)=0.95) and specificity 90% (P(test-|no disease)=0.90). If a randomly chosen individual tests positive, what is the probability they actually have the disease?