Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A class of twelve children has two more boys ...
Start Learning for Free
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?
- a)0
- b)325/864
- c)525/864
- d)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 class of twelve children has two more boys than girls. A group of th...
There are 7B and 5G
Through as question is stating 3 students are taken at random.
This can be a possible way to approach it.
Through as question is stating 3 students are taken at random.
This can be a possible way to approach it.
Most Upvoted Answer
A class of twelve children has two more boys than girls. A group of th...
To solve this problem, we need to first determine the total number of ways to choose a group of three children from the class of twelve. We can then calculate the number of ways to choose a group with more girls than boys and divide it by the total number of ways to get the probability.
Total Number of Ways to Choose a Group
To calculate the total number of ways to choose a group of three children from twelve, we can use the combination formula, which is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.
In this case, we have twelve children and we want to choose a group of three. So, the total number of ways to choose the group is 12C3 = 12! / (3!(12-3)!) = 12! / (3!9!) = (12 * 11 * 10) / (3 * 2 * 1) = 220.
Number of Ways to Choose a Group with More Girls than Boys
Since there are two more boys than girls in the class, we can have 0, 1, or 2 girls in the group. Let's consider each case separately:
Case 1: 0 girls and 3 boys
To choose 3 boys from the 8 available, we can use the combination formula again. So, the number of ways to choose 3 boys is 8C3 = 8! / (3!(8-3)!) = (8 * 7 * 6) / (3 * 2 * 1) = 56.
Case 2: 1 girl and 2 boys
To choose 1 girl from the 4 available and 2 boys from the 8 available, we can again use the combination formula. So, the number of ways to choose 1 girl and 2 boys is 4C1 * 8C2 = (4! / (1!(4-1)!)) * (8! / (2!(8-2)!)) = (4 * 8 * 7) / (1 * 2 * 1) = 112.
Case 3: 2 girls and 1 boy
Similar to the previous cases, the number of ways to choose 2 girls and 1 boy is 4C2 * 8C1 = (4! / (2!(4-2)!)) * (8! / (1!(8-1)!)) = (4 * 3 / (2 * 1)) * 8 = 96.
Total Number of Ways to Choose a Group with More Girls than Boys
To get the total number of ways to choose a group with more girls than boys, we add the results from each case: 56 + 112 + 96 = 264.
Probability
Finally, we can calculate the probability by dividing the number of ways to choose a group with more girls than boys (264) by the total number of ways to choose a group (220): 264 / 220 = 33 / 55 = 3 / 5.
Therefore, the correct answer is option 'D' None of these.
Total Number of Ways to Choose a Group
To calculate the total number of ways to choose a group of three children from twelve, we can use the combination formula, which is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.
In this case, we have twelve children and we want to choose a group of three. So, the total number of ways to choose the group is 12C3 = 12! / (3!(12-3)!) = 12! / (3!9!) = (12 * 11 * 10) / (3 * 2 * 1) = 220.
Number of Ways to Choose a Group with More Girls than Boys
Since there are two more boys than girls in the class, we can have 0, 1, or 2 girls in the group. Let's consider each case separately:
Case 1: 0 girls and 3 boys
To choose 3 boys from the 8 available, we can use the combination formula again. So, the number of ways to choose 3 boys is 8C3 = 8! / (3!(8-3)!) = (8 * 7 * 6) / (3 * 2 * 1) = 56.
Case 2: 1 girl and 2 boys
To choose 1 girl from the 4 available and 2 boys from the 8 available, we can again use the combination formula. So, the number of ways to choose 1 girl and 2 boys is 4C1 * 8C2 = (4! / (1!(4-1)!)) * (8! / (2!(8-2)!)) = (4 * 8 * 7) / (1 * 2 * 1) = 112.
Case 3: 2 girls and 1 boy
Similar to the previous cases, the number of ways to choose 2 girls and 1 boy is 4C2 * 8C1 = (4! / (2!(4-2)!)) * (8! / (1!(8-1)!)) = (4 * 3 / (2 * 1)) * 8 = 96.
Total Number of Ways to Choose a Group with More Girls than Boys
To get the total number of ways to choose a group with more girls than boys, we add the results from each case: 56 + 112 + 96 = 264.
Probability
Finally, we can calculate the probability by dividing the number of ways to choose a group with more girls than boys (264) by the total number of ways to choose a group (220): 264 / 220 = 33 / 55 = 3 / 5.
Therefore, the correct answer is option 'D' None of these.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)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 class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?a)0b)325/864c)525/864d)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup