16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T525,{"@context":"https://schema.org","@type":"Quiz","name":"Mht Cet 2026 Probability PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/mht-cet/questions/2026/mathematics/probability/jt-mr4onrhe","educationalLevel":"Entrance exam preparation","about":"Mht Cet / Mathematics / Probability","hasPart":{"@type":"Question","name":"Mht Cet 2026 Probability PYQ with Solution","text":"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...","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"C"},"comment":{"@type":"Comment","text":"Let D be the event that the person has the disease, and + be the event that the test is positive. Given: P(D)=1\\%=0.01 So, P(\\overline{D})=0.99 Sensitivity means the probability that the test is positive when the person has the disease: P(+|D)=98\\%=0.98 Specificity means the probability that the test is negative when the person does not have the disease: P(-|\\overline{D})=95\\%=0.95 So the false positive probability is: P(+|\\overline{D})=1-0.95=0.05 We need: P(D|+) Using Bayes’ theorem, P(D|+)=\\..."}}}18:T404,

Let $D$ be the event that the person has the disease, and $+$ be the event that the test is positive.

Given:

$$P(D)=1\%=0.01$$

So,

$$P(\overline{D})=0.99$$

Sensitivity means the probabi

Probability

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