Question

In a family of two children find the probability of having atleast one girl.

Answer 1

3/4 because

let

girl=G

boy=B

total out comes=GG;BB;BG;GB

at least one girl are 3

so probability is 3/4

Answer 2

Actually there are a total of three possibilities.

1. Two girls.
2. Two boys.
3. One boy and one girl.

Please don't take 'one girl and one boy' as the fourth possibility because it's combination occurs here, not permutation.

Means, one boy and one girl are like being selected to the family, not being arranged.

So it is wrong to take them as two different possibilities, because both are same and they contain only one girl and one boy even they're taken as different.

Okay, here, there are two possibilities in which atleast one girl is had.

So the probability is '2/3'.

Hope this may be helpful.

Please ask me if any doubts.

Thank you.