>>938
>Roughly 10% of successes are crits
>Roughly 10% of failures are crits
That's really good.
>in opposed checks you want to go as high as possible without going over your skill AND beat your opponents score if they didn't roll over their skill.
Huh. So if your opponent has 25 and you have 50, there's a 75% chance the opponent fails completely and a 50% chance you fail completely, making for a 37.5% chance you both fail, a 87.5% chance at least one of you fails, a 50% chance exactly one of you fails, and a 12.5% chance you both succeed. Assuming you both succeed, there's a 50% chance you roll higher than your opponent could possibly roll, and below that it's 50/50 odds one way or the other, so a 75% chance you win if neither of you rolls over. The odds of that happening overall are 9.375%, while the chance of you rolling under while your opponent rolls over is 37.5%. All together, your chance of beating your opponent are 46.875%, a bit shy of 50%. Meanwhile your opponent has a 12.5% chance of rolling under while you roll over and a 25% chance of beating you if neither rolls over (3.125% overall) for a total of 15.625% chance of beating you. As stated above, there's a 37.5% chance you both fail, bringing the total to a nice even 100. You have exactly 3 times the chance your opponent does of winning and 1.25% the chance of neither winning. This gives us a whole ratio of you:them:neither 12:4:5 at skill level 50 and 25.
This sounds pretty great. I'm too tire to do it now, but I'd love to see how this works on non-flat distributions like 3d6.