Conditional Probabilityhard
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A university has three dorms. Dorm A houses 200 students, Dorm B houses 300 students, and Dorm C houses 500 students. The infection rate in each dorm is 5%, 3%, and 2% respectively. If a student is found to be infected, what is the probability they live in Dorm A?
A university has three dorms. Dorm A houses 200 students, Dorm B houses 300 students, and Dorm C houses 500 students. The infection rate in each dorm is 5%, 3%, and 2% respectively. If a student is found to be infected, what is the probability they live in Dorm A?