Question: Given that a person gets a positive result, what is the probability that the person actually has the disease? Exercises 5962 refer to the following

Given that a person gets a positive result, what is the probability that the person actually has the disease?

Exercises 59–62 refer to the following situation:
A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 10,100 people are tested. Only 100 of these people have the disease, while the other 10,000 are disease free. Of the disease-free people, 9800 get a negative result, and 200 get a positive result.
The 100 people with the disease all get positive results.

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