Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • 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

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question