In Singular Fudge (q.v.), under normal conditions, without modifiers or Fudge point expenditure, it would seem that a character with a Below Average trait can never do better than Average, and a character with an Above Average trait can never do worse than Average. So, what happens in an opposed roll when the Below Average contestant rolls the best against an Above Average contestant who rolls the worst? Is the best the Below Average contestant can expect a draw?
In such cases (and in such cases only), the tie is immediately followed by a roll of 1dF on equal standing by each contestant. That is to say, each rolls 1dF and the result is the relative degree of the opposed roll in favor of whoever rolls highest (unless the relative degree is 0, which case the tie stands). This applies to any kind of opposed roll, combat-related or otherwise.