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Mathematics Help to calculate the probabilities!, challenging question

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Eventless
post Jul 18 2009, 09:49 AM

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QUOTE(wKkaY @ Jul 18 2009, 12:57 AM)
Darkwall, hope you don't mind if I tumpang your thread.

A friend asked me earlier. Let's say you have these parents. The parents have two children. One of them is a girl. What is the probability that the other child is a boy?

Assume there's 1 girl to every 1 boy in the world (it's close). When calculating the the probability of the other child's gender, do we consider the population as a whole (6 billion, so the probability that it will be a boy is a tiny bit higher than 1/2), or do we consider this family in itself (so, 2/3 that it will be a boy because they already have a girl).
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There's only one probability involved here since the gender of a child is not affected by existing siblings. The probability of 50% for either gender over six billion people means that it is possible for a family to have 3 boys and another family to have 3 girls. It all even outs when large numbers are involved.

 

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