[kragen]

it turns out that there is in fact no way that his personality could not enter into it, but that was not obvious to me until i did the simulation. even if he chose to reveal the car exactly 50% of the time in such cases, that would be a result of his personality, wouldn't it?

[calderknight]

You can imagine factors other than his personality, but they're all equally as speculative. Additional rules to the game, for example.