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The probability of a number of randomly selected people being all girls is approximately (1/2)n, where n is the number of people. For a larger number of people, this expression becomes smaller and smaller.

Please note that in the past, certain schools separated boys and girls (some schools only for boys, other schools only for girls). This might still be the case in some places. In this case, there is NOT a random selection.

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Q: Why is it possible to have a family of six girls and no boys but extremely unlikely that there will be a public school with 500 girls and no boys?
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