dice corrections and opposed test

game/dice.tex

@@ -2,13 +2,11 @@
 
 \section*{Notation}
 
-    We use \dc{N} to denote an N-sided die. The dice commonly used in this game are: \dc4, \dc6, \dc8, \dc10, \dc12, \dc20 and \dc100. If we want to say, ``roll X dice and add their results together,'' we denote that with X\dc{N}. For example, to say, ``roll two eight-sided dice and add the results'', we write 2\dc{8}.
+We use \dc{N} to denote an N-sided die. The dice commonly used in this game are: \dc4, \dc6, \dc8, \dc10, \dc12, \dc20 and \dc100. If we want to say, ``roll X dice and add their results together,'' we denote that with X\dc{N}. For example, to say, ``roll two eight-sided dice and add the results'', we write 2\dc{8}.
 
-% \rule{\linewidth}{1pt}
+\section*{\dc{12}}
 
-    \section*{\dc{12}}
+The \dc{12} is the main die that determines the fate of characters in \tochange{this game}. In general, when the fate of a character hangs in the balance of chance, the player assembles a pool of dice based on the stats (\cref{ch:stats}) that are relevant to the situation. The roll of those dice determines the outcome.
-
-    The \dc{12} is the main die that determines the fate of characters in \tochange{this game}. In general, when the fate of a character hangs in the balance of chance, the player assembles a pool of dice based on the stats (\cref{ch:stats}) that are relevant to the situation. The roll of those dice determines the outcome.
 
 
 \begin{multicols}{2}
@@ -19,7 +17,7 @@
 
     \subsection*{Rolling 1 or 12}
 
-    When rolling for a test, rolls of 1 or 12 has special meaning: they provide double the successes/failures. Rolling 1 gives two failures and rolling 12 gives two successes.
+    When rolling for a test, rolls of 1 or 12 have special meaning: they provide double the successes/failures. Rolling 1 gives two failures and rolling 12 gives two successes.
 
     \subsection*{Margin of Success}
 
@@ -66,6 +64,15 @@
         \end{enumerate}
     \end{samepage}
 
+    \subsubsection*{Opposed Test}
+
+    Sometimes, an action taken by a player is opposed by an action or a reaction by their enemy (or possibly another player).
+
+    The circumstances of the test determine the \stat{DT} for both participants. Commonly, the \stat{DT}s are independent, and the winner is whoever gets more successes.
+
+    If one participant in the test is clearly trying to achieve something, for instance, using an ability, they must attain a margin of 0 or more, or they automatically fail the test.
+
+    If both participants are equally involved -- having an arm wrestling competition, a game of chess, etc. -- negative margins can be successful if the opponent rolls an ever lower one.
 \end{multicols}
 
 \section*{Saving Throws}