QUOTE (Draco18s @ Jul 19 2010, 03:10 PM)

Think of it like this:
"You may re-roll all of the dice on a single test (that did not score a hit)."
As opposed to how you are seeing it (and as I personally interpret):
"You may re-roll all of the dice (on a single test) that did not score a hit."
In both cases the parenthetical is referring to the noun immediately preceding it.
"You may re-roll all of the dice on a single test that did not score a hit.
"You" - Subject of the sentence
"may reroll" - Verb of the sentence
"all" - Object of the verb
The original sentence is "You may re-roll all".
Both "of the dice" and "on a single test" are propositional phrases that complement the noun before it.
"You may re-roll all (of the dice (on a single test))."
All what? of the dice
Which dice? the one's on a single test
However, "that did not score a hit" is a quantifier for a noun that is quantifying "all". Even if it was modifying a preposition, it would modify "dice" not "test"
"You may re-roll all that did not score a hit."
If I were going by the "that" clause quantifying "test" then you would not be able to spend edge to re-roll dice on a test unless you achieved 0 hits since it would be "single test that did not score a hit."
However, I believe you and I are interpreting that line identically.
If I roll 10 dice and get 3 hits and 7 non-hits. I can spend a point of edge to re-roll just the 7 dice that did not obtain a hit. (<-- My Interpretation) You were leading, perhaps inadvertently, towards a situation that a test with a single hit was ineligible for edge to be spent to re-roll dice.
EDIT: Okay. I am really bored apparently.