"Ok, so Teanchi and Beanchi are a married couple (dont ask me whose he and whose she)!

They have two kids, one of them is a girl, what is the probability that the other kid is also a girl.

Assume safely that the probability of each gender is 1/2.

Of course its not 1/2 else would make it a lousy puzzle..."

and then given and accepted answer in the puzzle is this:

Now my question is, is this solution correct?

So this is what I think, please correct me if I'm wrong because this one really puzzled me, even though it seems so simple.

Is my logic correct? Please elaborate.