GATE DA 2026 Set 1 — Question 57

NAT+2 / -0MediumConditional ProbabilityProbabilityProbability & StatisticsBayes' Theorem

Probability & Statistics → Probability → Bayes' Theorem

Last updated 5 September 2026

Question

A clinic specializes in testing for a disease D. The result of the test can be either positive or negative. A study revealed that if a person suffers from the disease D, the test result in that clinic comes out positive 80% of the time, and negative 20% of the time. If a person is not suffering from the disease D, the test comes out positive 10% of the time and negative 90% of the time. It is also known that among the general population, the disease D occurs in 30% of the individuals. If a person tests positive for D in that clinic, the probability that he/she actually suffers from the disease D is__________. (Rounded off to two decimal places)

D

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D

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