# Which house have a girl child puzzle

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In  Taj Square there are two houses –  House A and House B.

In both A and B, lives a family with two children each.

The House A has a family with a boy who loves to play football. Their other child likes to swim.
The House B has a family with a six year old boy who loves to read and they have just had a new baby.

Which of the given house is likely to have a girl child?

SherlockHolmes Expert Asked on 9th January 2016 in

Both houses are equally likely to have girl child.

GeNiUs Genius Answered on 12th January 2016.

Explanation:

In the House A

As per puzzle, 1 child is Boy
There can be three possibilities.
———————–
Older    |    Younger
———————–
Boy         |      Girl
Girl         |      Boy
Boy         |      Boy
All these options are equally possible and thus we will take them all into account.
Two of the cases have a girl and thus the probability here will be 2/3.

In the House  B-
As per puzzle, the elder child is a boy and thus there can be only two possibilities:
————————–
Older      |      Younger
————————-
Boy           |       Girl
Boy           |       Boy

Here, the probability of having a girl child will be 1/2.

Thus we must select the house A, as there is better probability of having a girl in that house.

SherlockHolmes Expert Answered on 12th January 2016.

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