A king decides that his country has too many men and not enough women. So he issues a decree: once a couple has a boy, they're not allowed to have any more babies.The answer: the king's reasoning is not correct. There will still be approaching 50 percent boys, and 50 percent girls. There are many ways to figure this out.
The king reasons as follows: no family will have more than one boy. But some families will have two girls, or three girls, or even six girls before they have a boy. So there will wind up being a lot more girls than boys.
Is the king's reasoning correct?
I believe this assumes that the chances of having a boy or girl are equally likely. and independent.