[Steps Shown] Conditional probability. In a certain area, 10 \% of the population have Tuberculosis. A medical test can correctly detect this condition on an


Question: Conditional probability. In a certain area, \(10 \%\) of the population have Tuberculosis. A medical test can correctly detect this condition on an infected person with the probability of \(95 \%\), but incorrectly diagnoses a healthy person with the probability of \(8 \%\) (false positives). If a person from this area is selected at random and the test results are positive, what is the probability that the person actually has TB?

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