A program for determining luck/morality in Heroes 3!

It wasn't needed, but it happened. What a stroke of luck!

Yes, it was pure luck. There is such a secondary skill! But seriously, let's assume there was some cheating involved and he could control luck, then he definitely wouldn't generate unnecessary luck "for show." Does that make sense? Well, if it happened, should he replay the battle just to avoid being accused of cheating?