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.
Show a hint
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?
Your answer
Solving needs a free account
Answers, streaks and solutions unlock when you are signed in. Reading the question and the hint stays free.
Discussion
💡 Discussion rules
- No full solutions here. Hints and approaches only.
- Complexity, edge cases and intuition are the point.
- Interview experiences are welcome. Respect your NDAs.
Loading discussion…
Learn the concepts
The theory behind this question.