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  • Provide solution for RD Sharma maths class 12 chapter Probability exercise 30.7 question 26

Provide solution for RD Sharma maths class 12 chapter Probability exercise 30.7 question 26

Answers (1)

Answer:

 \frac{9}{13}

Hint:

 Use Baye’s theorem.

Given:

 It is known that 60%beside in a hostel and 40% don’t reside in hostel. Previous year results report that 30% of student residing in hostel attain. A grade and 20% of ones not residing in hostel attain.

Solution:

Let A denotes A -grade

H denote from hostel

D denote day scholar

\begin{aligned} &P(H)=0.6\\ &P(D)=0.4\\ &P\left ( \frac{A}{H} \right )=0.3\\ &P\left ( \frac{A}{D} \right )=0.2\\ \end{aligned}

Using Baye’s theorem we get

\begin{aligned} &P\left (\frac{H}{A} \right )=\frac{P(H).P\left ( \frac{A}{H} \right )}{P(H)\times P\left ( \frac{A}{H} \right )+P(D)\times P\left ( \frac{A}{D} \right )}\\ &=\frac{{0.3\times 0.6 }}{0.3\times 0.6+0.2\times 0.4}\\ &=\frac{0.18}{0.08}\\ &=\frac{18}{26}\\ &=\frac{9}{13} \end{aligned}

Posted by

Gurleen Kaur

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