Re: Formulas for speeding up repetitive rolls
Pyramid #3/65 has the This One Goes To Eleven article, long story short you can treat the skill roll as always rolling 11 a lot of the time without breaking the game, it just switches things to bonus stacking rather than hoping the dice are in your favor.
I use this anytime you can just reroll or take extra time, which covers a lot of out of combat situations.
So you could assume the physician always rolls 11 and go from there.
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