CA Foundation Exam > CA Foundation Questions > There are three family consisting of 3 boys 2...
Start Learning for Free
There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls?
Most Upvoted Answer
There are three family consisting of 3 boys 2girls, 2 boys and 2 girls...
Given Information:
- Family 1: 3 boys and 2 girls
- Family 2: 2 boys and 2 girls
- Family 3: 2 boys and 3 girls
- One family is selected randomly
- Two children are selected from the family
Probability of Selecting a Family:
The probability of selecting each family is:
- Family 1: 1/3
- Family 2: 1/3
- Family 3: 1/3
Probability of Selecting Two Girls:
We need to calculate the probability of selecting two girls from the chosen family. We can use the following formula:
P(two girls) = P(F1) * P(2 girls from F1) + P(F2) * P(2 girls from F2) + P(F3) * P(2 girls from F3)
Family 1:
The probability of selecting two girls from Family 1 is:
P(2 girls from F1) = (2/5) * (1/4) = 1/10
Family 2:
The probability of selecting two girls from Family 2 is:
P(2 girls from F2) = (2/4) * (1/3) = 1/6
Family 3:
The probability of selecting two girls from Family 3 is:
P(2 girls from F3) = (3/5) * (2/4) = 3/10
Total Probability:
Now we can substitute the above probabilities into our formula:
P(two girls) = (1/3) * (1/10) + (1/3) * (1/6) + (1/3) * (3/10) = 11/60
Final Answer:
The probability of selecting two girls from a family selected randomly is 11/60.
Explanation:
The given information provides the number of boys and girls in each family. We need to calculate the probability of selecting two girls from a family chosen randomly. To do this, we first calculate the probability of selecting each family. Then, we calculate the probability of selecting two girls from each family using the given gender distribution. Finally, we use the formula to calculate the total probability of selecting two girls from a family chosen randomly. The final answer is 11/60.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls?
Question Description
There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls?.
There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls?.
Solutions for There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? defined & explained in the simplest way possible. Besides giving the explanation of
There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls?, a detailed solution for There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? has been provided alongside types of There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? theory, EduRev gives you an
ample number of questions to practice There are three family consisting of 3 boys 2girls, 2 boys and 2 girls, 2boys and 3 girls. a family is selected at random and from ut two children are selected. what is the probability that both of them are girls? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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