Comment by lovich

Or, like my gaming group does. Just roll again between whoever ties. And in the extremely rare event that you tie again, roll again. And if youve managed to get to the heat death of the universe and have tied three times, roll a fourth time.

And for the pedants, you arent rolling every microsecond for millennia to make it plausibly likely that you have that many ties. You are rolling a handful of times before a game.

Its an interesting math problem to solve, but its way more effort to solve than the real world solutions.