A laboratory blood test is effective in detecting a certain disease when it is in fact
MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability
Problem
5. 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 has the disease). If 0.1 percent of the population
actually has the disease, what is the probability that a person has the disease given that his test result is positive ?