I'm not really married to this idea, but my first reaction is that to assume a random number would be an invalid assumption. The scenario is framed as a zero s

I'm not really married to this idea, but my first reaction is that to assume a random number would be an invalid assumption. The scenario is framed as a zero sum game: one of us wins. The question is, "should you play?" In order to answer, you need to be able to determine whether or not there is an optimal strategy that is generally successful.That should include both the assumption that Ballmer has chosen a number adversarial weighed against the random choice.