[rustybolt]

> Do most people not do this?

I'd say it's impossible to answer this question conclusively within the time frame of an interview. That makes it, in my opinion, a bad interview question.

My answer to this question would be to show that I understand what it would take to answer this question correctly (you'd have to find a mixed strategy that has a positive expected value for every choice of number), I wouldn't be able to give a confident "yes" or "no" answer on the spot. I think that's the only correct answer.

In practice, I think this question is advantegeous for those who confidently blurt out an answer and then make up a heuristic argument for it. But a heuristic argument can be found for both "yes" and "no".