Imagine that XYZ syndrome is a serious condition that affects one person in 1,000 and so doctors routinely test patients for it. The test always accurately reveals when a person has the disease. The test also has a false positive rate of 5% -- i.e. 5% percent of the people who do not have XYZ syndrome will be incorrectly indicated as having it.
A random person is given this test and tests positive for XYZ syndrome. What is the probability that they really have it?
False Positives Answer
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