Suppose that you are worried that you might have a rare disease. You decide to g

Question

Suppose that you are worried that you might have a rare disease. You decide to get tested, and suppose that the testing methods for this disease are correct 99 percent of the time (in other words, if you have the disease, it shows that you do with 99 percent probability, and if you don't have the disease, it shows that you do not with 99 percent probability). Suppose this disease is actually quite rare, occurring randomly in the general population in only one of every 10,000 people.

You obtain a positive test result. What is the probability that you have the disease?

Explanation / Answer

since it is given the test result is positive, the probability would be 0.99 (99%). the test has 99% accuracy i.e, the positve result would have 99% probability of having a disease.

if the test result is not given in the question, then the answer would be 0.0001.

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