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Let A be the presence or absence of liver disease (a is that they have it;...

Let A be the presence or absence of liver disease (a is that they have it; ~a, "not a", is that they don't). Past data tells you that 10% of patients entering your clinic have liver disease.

Let B be alcoholic (b) or not alcoholic (~b). Among those patients diagnosed with liver disease, 7% are alcoholics or P(b|a). However, if someone is not an alcoholic, there is a 95.2% probability they don't have liver disease, P(~b|~a).

What is P(A|B)? (number of probability distributions and probability).

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