Presence of a particulat disease


A blood test indicates the presence of a particulat disease 95% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the dsease is not present. 1% of the population actually has the disease. Calculate the probability that a person has the disease given that the test indicates the presnce of the disease.

The answer is 0.657 but i need help getting there

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Basic Statistics: Presence of a particulat disease
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