Notes from the Great Gygax regarding the D&D dice roll:

"Of the two approaches to hobby games today, one is best defined as the realism-simulation school and the other as the game school. AD&D is assuredly on adherent of the latter school ... For fun, excitement, and captivating fantasy, AD&D is unsurpassed. As a realistic simulation of things from the realm of make-believe, or even as a reflection of medieval or ancient warfare or culture or society, it can be deemed only a dismal failure ... As the DM, the tools of your trade are dice - platonic solid-shaped or just about any other sort. The random numbers you generate by rolling dice determine the results based on the probabilities determined herein or those you have set forth on your own."

This enormous thread reinforces my preference to avoid percentages altogether, and focus on the die rolls. I'd rather see "you need an 8 or better on a d12 roll" as opposed to "you have a 41.66666% chance of success".

(Note that the d12 is vastly underused)