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# A certain virus infects one in every 400 people.

A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive".A.) find the probability that a person has the virus given that they have tested positive, ie find P(A/B). B.)find the probability that a person does not have the virus given that they test negative?ie find P(not A/ not B)