World with All Girls !!

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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)

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Suppose there are 1000 couples. First time, 500 girls and 500 boys are born as the probability for boy/girl are same.

500 couples retire as they have girl child, and rest 500 will try for another child. Next time, 250 couples give birth to 250 girls and rest to 250 boys.

Thus, even in second iteration, ratio remains 1:1.

It can now be seen that this ratio always remain same, no matter how many times people try to give birth to a favored gender.

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