Remember that in this patch, loaded dice is on by default. You can disable them in the options.
I was going to write down my dice rolls this play through to be able to compare the results. I wrote down about 300 something before I lost interest. It's not an entirely complete list, of course. There's some skill checks the game aren't letting you see, and the initiative rolls for example went by far too fast to jot them down. But I have nearly every skill/save and attack roll from my first two play sessions stored.
Yes, the dice are still rolling high without loaded dice. I made sure to go into options and turn loaded dice off immediately before even playing.
