expected succ

dice.tex

@@ -124,7 +124,28 @@
         11  & 9.2                                       & 7.5                   & 6.0                   & 4.8                   & 3.7                   & 3.0                   & 2.4                   & 1.9                   & 1.5                   & 1.2                    & 1.0                    \\
         12  & 10.0                                      & 8.2                   & 6.5                   & 5.1                   & 4.0                   & 3.1                   & 2.4                   & 1.9                   & 1.6                   & 1.3                    & 0.7
     \end{tabular}
-    \caption{Expected number of successes.\label{tab:exp_mos}}
+    \caption{Expected number of successes, given the test was successful.\label{tab:exp_mos}}
+\end{table}
+
+\begin{table}[htb]
+    \centering
+    \begin{tabular}{r | S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1] S[table-format=2.1]}
+            & \multicolumn{10}{c}{Difficulty Threshold}                                                                                                                                                                                                                                                   \\
+        $d$ & \multicolumn{1}{c}{1}                     & \multicolumn{1}{c}{2} & \multicolumn{1}{c}{3} & \multicolumn{1}{c}{4} & \multicolumn{1}{c}{5} & \multicolumn{1}{c}{6} & \multicolumn{1}{c}{7} & \multicolumn{1}{c}{8} & \multicolumn{1}{c}{9} & \multicolumn{1}{c}{10} & \multicolumn{1}{c}{11} \\ \cline{2-12}
+        1   & 1.0                                       & 0.9                   & 0.8                   & 0.8                   & 0.7                   & 0.6                   & 0.5                   & 0.4                   & 0.3                   & 0.2                    & 0.2                    \\
+        2   & 1.8                                       & 1.5                   & 1.3                   & 1.0                   & 0.8                   & 0.7                   & 0.5                   & 0.4                   & 0.3                   & 0.2                    & 0.2                    \\
+        3   & 2.6                                       & 2.2                   & 1.8                   & 1.4                   & 1.1                   & 0.9                   & 0.6                   & 0.4                   & 0.3                   & 0.2                    & 0.1                    \\
+        4   & 3.4                                       & 2.8                   & 2.3                   & 1.8                   & 1.3                   & 1.0                   & 0.7                   & 0.4                   & 0.3                   & 0.2                    & 0.1                    \\
+        5   & 4.2                                       & 3.5                   & 2.7                   & 2.1                   & 1.6                   & 1.1                   & 0.7                   & 0.4                   & 0.2                   & 0.1                    & 0.1                    \\
+        6   & 5.0                                       & 4.1                   & 3.2                   & 2.4                   & 1.8                   & 1.2                   & 0.8                   & 0.4                   & 0.2                   & 0.1                    & 0.0                    \\
+        7   & 5.9                                       & 4.8                   & 3.7                   & 2.8                   & 2.0                   & 1.3                   & 0.8                   & 0.4                   & 0.2                   & 0.1                    & 0.0                    \\
+        8   & 6.7                                       & 5.4                   & 4.2                   & 3.1                   & 2.1                   & 1.4                   & 0.8                   & 0.4                   & 0.2                   & 0.1                    & 0.0                    \\
+        9   & 7.5                                       & 6.1                   & 4.7                   & 3.4                   & 2.3                   & 1.5                   & 0.8                   & 0.4                   & 0.2                   & 0.1                    & 0.0                    \\
+        10  & 8.3                                       & 6.7                   & 5.2                   & 3.7                   & 2.5                   & 1.5                   & 0.8                   & 0.4                   & 0.2                   & 0.1                    & 0.0                    \\
+        11  & 9.2                                       & 7.4                   & 5.6                   & 4.1                   & 2.7                   & 1.6                   & 0.9                   & 0.4                   & 0.1                   & 0.0                    & 0.0                    \\
+        12  & 10.0                                      & 8.0                   & 6.1                   & 4.4                   & 2.9                   & 1.7                   & 0.9                   & 0.4                   & 0.1                   & 0.0                    & 0.0                    \\
+    \end{tabular}
+    \caption{Expected number of successes overall.\label{tab:exp_mosp}}
 \end{table}
 
 \begin{multicols}{2}