probability puzzles
| easy | probability |
In a world where everyone wants a girl child, each family continues having babies till they have a girl. What do you think will the boy-to-girl ratio be eventually?
Assuming probability of having a boy or a girl is the same and there is no other gender at the time of birth.
1:1
Suppose there are couples. First time, girls and boys are born. couples retire, and rest half try for another child.
Next time, couples give birth to girls and boys. Thus, even in the second iteration, the ratio is . It can now be seen that this ratio will always remain the same, no matter how many times people try to give birth to a favored gender.