A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a "positive" result. If a patient does not have the disease, the test should return a "negative" result. No test is perfect though. 99% of patients who have the disease will test positive. 5% of patients who don't have the disease will also test positive. 10% of the population in question has the disease. If a random patient tests positive, what is the probability that they have the disease? Round to the nearest whole percentage and divide the percentage by 3.

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A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a "positive" result. If a patient does not have the disease, the test should return a "negative" result. No test is perfect though.

  • 99% of patients who have the disease will test positive.
  • 5% of patients who don't have the disease will also test positive.
  • 10% of the population in question has the disease.

If a random patient tests positive, what is the probability that they have the disease? Round to the nearest whole percentage and divide the percentage by 3.

 

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