Things are definitely broken inside and outside of combat.
I've failed persuasion checks 9 times in a row with reloads, every time I have more than a 50% chance of meeting the check. .5^9= 1/500
I've missed in combat several times in a row despite having a 90+ chance to hit. The tooltips are either 100% wrong/meaningless or the roller is biased.
I suspect if somebody were to collect data you would find a pretty extreme bias.