Because you are not feeling well you do a medical test for a...

Because you are not feeling well you do a medical test for a certain disease. For that test statistics show that patients who have this disease test positive 97% of the time, while patients who do not have the disease test positive 0.05% of the time. The test can therefore be considered as very accurate. It is estimated that currently 10% of the population have this disease. The next day your doctor informs you that your test result is positive. What is the probability that you actually have the disease? Reflect on your result.

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