Okay, my very brief read on on Sorcerer indicates that you roll a die, the GM rolls a die, and if your die is higher, you win.
Statistically speaking, you will win 50% of the time; you might as well use a coin toss.
Have you looked into the Fate system (3d6)?
Your assumption about Sorcerer is wrong. It's an opposed dice pool system, you don't roll just one die. I have looked very deeply at dice systems and their statistical properties. Again, I've written a five-page analysis into the rulebook explaining why I think Sorcerer is the best dice system out there. Here's the PDF:
https://dl.dropboxusercontent.com/u/9638874/explorers/sorcerer-dice.pdf