MHT CET 2025 Mathematics question
A doctor assumes that patient has one of three diseases d1, d2 or d3. Before any test he assumes an equal probability for each disease. He carries out a test that will be positive with probability 0.7 if the patient has disease d1, 0.5 if the patient has disease d2 and 0.8 if the patient has diseased 3. Given that the outcome of the test was positive then probability that the patient has diseased 2 is
Answer: (A)
Solution
Use Bayes' theorem. Priors: . Likelihoods of a positive test: , , . Then
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