Who is talking about breaking records? You just want to pass your concentration checks and maybe save against a few other spells, ya? What a strange thing to get aggro about.
Passing a DC check is a binary event. Doesn't matter if you roll a 1 or a 7 if the DC is a 10 or whatever. Good job on computing the probability of rolling a 1 though. You can use those skills to compute the probability of passing a check with an extra ~3.2 points from Warcaster or 4 or 5 points from Resilient: Con when added to the 10.5 average roll of a d20.