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

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

 

Answers (1)

Answer:

            (b)

Hint:

            You must know rules of finding probability

Given:

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

HIV +ve, 0.1% have HIV

Solution:

Let the events ,

E =Person selected has HIV

F= Person selected does not have HIV

G= Test judges HIV +ve

\begin{aligned} &P(E)=0.001 \\ &P(F)=0.999 \\ &P\left(\frac{G}{E}\right)=0.9 \\ &P\left(\frac{G}{F}\right)=0.01 \end{aligned}

Probability the person tested HIV +ve given that he/she actually has HIV is,

\begin{aligned} &P\left(\frac{G}{E}\right)=90 \% \\ &=\frac{90}{100}=0.9 \end{aligned}

So, (b) is the correct answer

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