The Putnam Competition. Six hours, 10 math problems. Mode score: 0. Median Score: Usually 0 or very close to it. Grand prize: Harvard Scholarship. Do I expect to win it? Not at all.
This begs the question: What kind of person (or even math major) will volunteer to compete in a competition they have almost no hope of winning? My answer is this: Because it's there.
Of course, having now taken them (and completely zeroed out) twice, I can honestly say the only reason I take them is because they're there.
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