Quant Exam > Quant Questions > A committee of 4 people is to be formed from ...
Start Learning for Free
A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?
- a)13/21
- b)10/31
- c)5/21
- d)10/21
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A committee of 4 people is to be formed from 3 men, 2 women and 4 chil...
2 children should be there and rest 2 either from (2 women + 3 men) 5 people
So prob. = 4C2 * 5C2 / 9C4
So prob. = 4C2 * 5C2 / 9C4
Most Upvoted Answer
A committee of 4 people is to be formed from 3 men, 2 women and 4 chil...
Approach:
To find the probability of exactly two children being chosen for the committee, we need to calculate the total number of ways to select 4 people from the total pool of 3 men, 2 women, and 4 children, as well as the number of ways to choose 2 children and 2 other people (men or women).
Calculations:
- Total ways to choose 4 people out of 9: 9C4 = 126
- Ways to choose 2 children out of 4: 4C2 = 6
- Ways to choose 2 other people out of 5 (men and women): 5C2 = 10
- Total number of ways to choose 2 children and 2 other people: 6 * 10 = 60
Probability:
Probability = Number of favorable outcomes / Total outcomes
Probability = 60 / 126 = 10 / 21
Therefore, the probability that exactly two of the chosen people are children is 10/21, which corresponds to option 'D'.
To find the probability of exactly two children being chosen for the committee, we need to calculate the total number of ways to select 4 people from the total pool of 3 men, 2 women, and 4 children, as well as the number of ways to choose 2 children and 2 other people (men or women).
Calculations:
- Total ways to choose 4 people out of 9: 9C4 = 126
- Ways to choose 2 children out of 4: 4C2 = 6
- Ways to choose 2 other people out of 5 (men and women): 5C2 = 10
- Total number of ways to choose 2 children and 2 other people: 6 * 10 = 60
Probability:
Probability = Number of favorable outcomes / Total outcomes
Probability = 60 / 126 = 10 / 21
Therefore, the probability that exactly two of the chosen people are children is 10/21, which corresponds to option 'D'.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A committee of 4 people is to be formed from 3 men, 2 women and 4 children. What is the probability that exactly two of chosen people are children?a)13/21b)10/31c)5/21d)10/21e)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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