Suppose 1% of the population is known to have a medical condition. There is a test for the condition, and 80% of people with the condition test positive for it. Also, 10% of people without the condition test positive for it. Follow these steps to find the probability that a person actually has the condition given that he or she tests positive.
Find P(B). (Hint: Consider the portion of the population with the condition that tests positive and the portion of the population without the condition that tests positive.
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