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QUESTION

One in 1000 adults has Fugit's Syndrome.

One in 1000 adults has Fugit's Syndrome. A diagnostic test has been developed, such that 99% of individuals with the syndrome will be correctly identified, and 2% of those without the Syndrome will be incorrectly diagnosed as having it. If a random individual is given the test and is given a positive diagnosis, what is the actual probability that they have Fugit's Syndrome?

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