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  • Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise Case Study Based  Question, question 3 sub question (v).

Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise Case Study Based  Question, question 3 sub question (v).

Answers (1)

Answer:

            (c)

Hint:

            You must know rules of conditional probability

Given:

            90% test detect the disease, 10% go undetected, 99% judged HIV –ve and 1% judged

HIV +ve, 0.1% have HIV

Solution:

The probability that the person selected is not having HIV given that the test report diagnosed is +ve

It means, the person selected is not actually has HIV

\begin{aligned} &P\left(\frac{\bar{E}}{G}\right)=1-P\left(\frac{E}{G}\right) \\ &=1-\frac{90}{1089} \\ &=\frac{1089-90}{1089}=\frac{999}{1089} \end{aligned}

So, (c) is correct answer

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