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If the proportion of blonds among blue-eyed people is greater than among the population as a whole, is it also true that the proportion of blue-eyed people among blonds is greater than among the population as a whole?

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Yes. Let a be the number of blonds with blue eyes, b be the number of all blonds, c be the number of all blue-eyed people, and n be the whole population. Then by the information we’re given, a/c > b/n, so an > bc and a/b > c/n. (By Anatoly Savin)

October 19, 2015November 12, 2023 | Puzzles