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This month's GlobalSpec Newsletter Challenge is:
An unnamed dystopian society is concerned about the widening ratio of women to men. Its leader proclaims that going forward, a woman is forbidden to have more children after giving birth to her first son.
Would this strategy work to move toward a 50:50 ratio of girls to boys? Why?
And the answer is:
The short answer to this puzzle is no.
Following the laws of chance, the first round of births would be split 50:50. The mothers of boys would cease having children, and the mothers of girls would continue to do so until they had a boy. Each subsequent birth would have a 50:50 chance of resulting in a girl or boy.
Essentially, the sum of the results of each round of births would still result in the same ratio as before the strategy began. Of course, we can assume that girl children could grow up to become mothers whereas boy children would not, but this has no bearing on the actual ratio following the decree.
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"Almost" Good Answers: