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quantitative aptitude

mridul savio Pinto (articled trainee ) (1477 Points)

30 December 2010

can anybody answer this

it is given that a family of 2 children has a girl, what is the probablity that the other child is also a girl ?

they hav given it as 1/3 ? can anybody explain me ?

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11 Replies

Sunshine (Helping All) (10575 Points)
Replied 30 December 2010

answer is wrong....it will be 1/2....or i think the question is not complete....check it...and in the book many answers were given wrong....

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CA Vasiullah (Vasi) (Audit Executive) (1813 Points)
Replied 30 December 2010

1/3 is the correct answer.

since there are 2 boys and 1 girl,the boy and girl ratio is 2:1, which implies that the probability of the fourth child being a girl is 1/3 , that is one girl among three childes.

however if we take the example of a coin then the probability of getting a tail or head is always 1/2, which is unaffected by previous results, according to this principle the answer should be 1/2, since both the problems are identical, but remember the outcome in case of child birth is not definite, there can be even 2 boys or 2 girls i,e twin births !!! there have been cases where count goes even higher !!!

So I strongly go with the first answer, that is, the probability of 1/3 is the correct answer.

Sandeep Pandey (CA FINAL) (1306 Points)
Replied 30 December 2010

Agree with wasi Khan

CA Vasiullah (Vasi) (Audit Executive) (1813 Points)
Replied 31 December 2010

What you people think about the question and its answer?

mridul savio Pinto (articled trainee ) (1477 Points)
Replied 31 December 2010

in the question it is given that , the family of two children has a girl , on the assumption that family of 2 children has only one child each, (girl) , then the probablity of other child is also a girl is 0.50 .but from your point of view 1/3 is correct . then what vl be the answer if this same question appears in the cpt? 1/3 or 0.50

thank you friends

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CA Vasiullah (Vasi) (Audit Executive) (1813 Points)
Replied 31 December 2010

Well, the answer should be 1/2... I answered it thinking there are 3 childrens in the family,however there are only two of opposite genders. So the answer should be 1/2 and the answer given in the book might be wrong as pointed out by Sneha.

vipul patel (Ahmedabad) (320 Points)
Replied 31 December 2010

i think the probablity that the another child is girls is 1/2 ,,,,,,,

CA Devender Chauhan (Group Financial Accountant) (1526 Points)
Replied 31 December 2010

the answer should be 1/2 of the this question.

In your case either the question or the answer is wrong in the book

CS LLB Pulkit Gupta (https://www.facebook.com/pages/Life-and-Promises/553962034682487) (16631 Points)
Replied 31 December 2010

I will go for 1/2. Even if in a family there are 9 girls and 1 boy according to me probability of having a boy or girl will be 1/2 each just like a toss of coin..!!