MHT CET 2026 Mathematics question

MathematicsProbabilityMHT CET 2026

A certain disease has a prevalence of 1% in the population. A diagnostic test for the disease has a sensitivity of 98% and a specificity of 95%. If a person from this population tests positive, then the probability that they actually have the disease is..

Answer: (C)

Solution

Let = person has the disease and = test positive. Then , , sensitivity , and specificity gives the false-positive rate . By Bayes' theorem

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Question ID VK-097608