Qm

Why the handsome ones seem so unpleasant

Suppose that in the whole population, how good-looking someone is and how kind they are are completely independent. You only agree to date people who are either very good-looking or very kind (or both): anyone who is neither is turned down.

Among the people you date, what relationship will you observe between looks and kindness? Explain with a simple model, and give another setting where the same illusion appears.

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Draw a square with looks on one axis and kindness on the other, and shade the region of people you date. What shape is it, and what happens to a scatter of independent points inside it?

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