Suppose we knew that 20% of people experience minor cold-like symptoms (runny nose, watery eyes, etc). A certain disease, call it D, is known to be associated with such symptoms. Given that someone experiences these symptoms, there is 35% chance they are infected with D. On the other hand, if someone does not experience the symptoms, there is a 5% chance they are infected with D (these are asymptomatic cases). What is the probability a randomly selected person is infected with D

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