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A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However , the test also yields a false positive result for 0.5% of the healthy person tested(i.e., if a healthy person is tested , then, with probability 0.005 , the test will imply he will have the disease ). If 0.1 % of the population actually has the disease , what is the probability that a person has the disease given that his result is positive ?
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