All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  In the MBA Programme of a B - School, there a... Start Learning for Free
SaveJoin the Discussion on the App
In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :
  • a)
    23/72
  • b)
    11/36
  • c)
    5/12
  • d)
    17/36
Correct answer is option 'D'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
In the MBA Programme of a B - School, there are two sections A and B. ...
Probability of choosing a boy from Section A = 3/4
Probability of choosing a boy from Section B = 5/9
Probability of choosing a girl from Section A = 1/4
Probability of choosing a girl from Section B = 4/9
There are two cases. 
Case 1: Boy from section A and girl from section B
View all questions of this test
Most Upvoted Answer
In the MBA Programme of a B - School, there are two sections A and B. ...
Problem:
In the MBA Programme of a B-School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in Section B are girls. If two students are chosen at random, one each from section A and section B as class representatives, the probability that exactly one of the students chosen is a girl is:

a) 23/72
b) 11/36
c) 5/12
d) 17/36

Solution:
To find the probability that exactly one of the students chosen is a girl, we need to consider the cases where one student is a girl and the other is a boy from both sections A and B.

Let's assume that there are a total of 'x' students in section A and 'y' students in section B.

Given that 1/4th of the students in section A are girls, the number of girls in section A can be calculated as (1/4)x. Similarly, 4/9th of the students in section B are girls, so the number of girls in section B can be calculated as (4/9)y.

Now, let's consider the cases where one student is a girl and the other is a boy:

1. The first student chosen is a girl from section A and the second student chosen is a boy from section B. The probability of this happening can be calculated as:
(1/4)x * (5/9)y / (x * y)

2. The first student chosen is a boy from section A and the second student chosen is a girl from section B. The probability of this happening can be calculated as:
(3/4)x * (4/9)y / (x * y)

Adding these probabilities, we get the total probability of exactly one student chosen being a girl as:

[(1/4)x * (5/9)y / (x * y)] + [(3/4)x * (4/9)y / (x * y)]

Simplifying this expression, we get:

(5/36) + (12/36)

= 17/36

Therefore, the correct answer is option d) 17/36.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
< Previous Question Next Question >
Explore Courses for CAT exam

Similar CAT Doubts

Directions: In a school, for class 10th the sections are allotted on the basis of the scores of the student in class 9th. There are four sections in class 9th namely A, B, C, D. A student obtaining highest marks will be allotted section P in class 10th. On the similar basis sections Q, R, S are allotted. P is the best section, Q, R and S are the 2nd, 3rd and 4th best section respectively.A record of score of 10 students were kept.Each year the lowest and highest score increases by 1.Each student got distinct marks as per record of January, 2011, the minimum marks is 20 and the maximum marks is 29. The sections were to be continued for 1 year in class 10th. Different sets of number of students are there in class 9th for any two year. In class 10th, section P has 4 students and, Q, R, S have 2 students each.The below table gives the number of students in each section of class 9th over the years:Q. Total number of students from section C moved in section Q in the year 2011 is what was the highest marks obtained by the student of section B in the year 2013?

Directions: In a school, for class 10th the sections are allotted on the basis of the scores of the student in class 9th. There are four sections in class 9th namely A, B, C, D. A student obtaining highest marks will be allotted section P in class 10th. On the similar basis sections Q, R, S are allotted. P is the best section, Q, R and S are the 2nd, 3rd and 4th best section respectively.A record of score of 10 students were kept.Each year the lowest and highest score increases by 1.Each student got distinct marks as per record of January, 2011, the minimum marks is 20 and the maximum marks is 29. The sections were to be continued for 1 year in class 10th. Different sets of number of students are there in class 9th for any two year. In class 10th, section P has 4 students and, Q, R, S have 2 students each.The below table gives the number of students in each section of class 9th over the years:Q. What was the highest marks obtained by the student of section B in the year 2013?

Directions: In a school, for class 10th the sections are allotted on the basis of the scores of the student in class 9th. There are four sections in class 9th namely A, B, C, D. A student obtaining highest marks will be allotted section P in class 10th. On the similar basis sections Q, R, S are allotted. P is the best section, Q, R and S are the 2nd, 3rd and 4th best section respectively.A record of score of 10 students were kept.Each year the lowest and highest score increases by 1.Each student got distinct marks as per record of January, 2011, the minimum marks is 20 and the maximum marks is 29. The sections were to be continued for 1 year in class 10th. Different sets of number of students are there in class 9th for any two year. In class 10th, section P has 4 students and, Q, R, S have 2 students each.The below table gives the number of students in each section of class 9th over the years:Q. Students of how many sections showed a consistent increase in marks obtained?

Directions : In a school, for class 10th the sections are allotted on the basis of the scores of the student in class 9th. There are four sections in class 9th namely A, B, C, D. A student obtaining highest marks will be allotted section P in class 10th. On the similar basis sections Q, R, S are allotted. P is the best section, Q, R and S are the 2nd, 3rd and 4th best section respectively.A record of score of 10 students were kept.Each year the lowest and highest score increases by 1.Each student got distinct marks as per record of January, 2011, the minimum marks is 20 and the maximum marks is 29. The sections were to be continued for 1 year in class 10th. Different sets of number of students are there in class 9th for any two year. In class 10th, section P has 4 students and, Q, R, S have 2 students each.The below table gives the number of students in each section of class 9th over the years:Q. The top scorer was present in which section in 2013?

Top Courses for CATView all

Top Courses for CAT

In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer?
Question Description
In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer?.
Solutions for In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the MBA Programme of a B - School, there are two sections A and B. 1/4th of the students in Section A and 4/9th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is :a)23/72b)11/36c)5/12d)17/36Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup