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@ -94,16 +94,6 @@
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\caption{Expected chance of success.\label{tab:cos}}
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\caption{Expected chance of success.\label{tab:cos}}
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\end{table}
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\end{table}
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% \begin{figure}[htb]
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% \centering
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% \begin{tabular}{r c c c c c c c c c c c}
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% \stat{DT} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 \\ \hline
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% $p$ & 98\% & 95\% & 90\% & 82\% & 70\% & 56\% & 42\% & 28\% & 17\% & 9\% & 4\% \\
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% Succeeds & 51 in 52 & 20 in 21 & 8 in 9 & 4 in 5 & 2 in 3 & 1 in 2 & 2 in 5 & 1 in 4 & 1 in 6 & 1 in 12 & 1 in 26
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% \end{tabular}
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% \caption{Expected chance of success.\label{tab:cos2}}
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% \end{figure}
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\subsection{Margin of Success}
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\subsection{Margin of Success}
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\begin{multicols}{2}
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\begin{multicols}{2}
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@ -168,238 +158,27 @@
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\end{multicols}
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\end{multicols}
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% \begin{table}[htb]
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% \centering
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% \begin{tabular}[t]{c | c c }
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% $p$ & \stat{DT} & $m$ \\
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% \multirow[t]{3}{*}{100\%} & 1 & 0 \\
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% & 1 & 1 \\
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% & 2 & 0 \\
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% \multirow[t]{5}{*}{90\%} & 1 & 2 \\
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% & 1 & 3 \\
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% & 2 & 1 \\
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% & 2 & 2 \\
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% & 3 & 0 \\
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% \multirow[t]{4}{*}{80\%} & 1 & 4 \\
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% & 2 & 3 \\
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% & 3 & 1 \\
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% & 4 & 0 \\
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% \multirow[t]{5}{*}{70\%} & 1 & 5 \\
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% & 2 & 4 \\
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% & 3 & 2 \\
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% & 4 & 1 \\
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% & 5 & 0
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% \end{tabular}
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% \hfill
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% \begin{tabular}[t]{c | c c}
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% $p$ & \stat{DT} & $m$ \\
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% \multirow[t]{5}{*}{60\%} & 1 & 6 \\
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% & 3 & 3 \\
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% & 4 & 2 \\
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% & 5 & 1 \\
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% & 6 & 0 \\
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% \multirow[t]{4}{*}{50\%} & 2 & 5 \\
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% & 3 & 4 \\
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% & 4 & 3 \\
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% & 5 & 2 \\
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% \multirow[t]{6}{*}{40\%} & 1 & 7 \\
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% & 2 & 6 \\
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% & 3 & 5 \\
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% & 4 & 4 \\
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% & 6 & 1 \\
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% & 7 & 0 \\
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% \end{tabular}
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% \hfill
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% \begin{tabular}[t]{c | c c}
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% $p$ & \stat{DT} & $m$ \\
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% \multirow[t]{7}{*}{30\%} & 1 & 8 \\
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% & 2 & 7 \\
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% & 3 & 6 \\
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% & 5 & 3 \\
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% & 6 & 2 \\
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% & 7 & 1 \\
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% & 8 & 0 \\
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% \multirow[t]{10}{*}{20\%} & 1 & 9 \\
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% & 2 & 8 \\
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% & 3 & 7 \\
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% & 4 & 5 \\
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% & 4 & 6 \\
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% & 5 & 4 \\
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% & 6 & 3 \\
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% & 7 & 2 \\
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% & 8 & 1 \\
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% & 9 & 0
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% \end{tabular}
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% \hfill
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% \begin{tabular}[t]{c | c c}
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% $p$ & \stat{DT} & $m$ \\
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% \multirow[t]{19}{*}{10\%} & 1 & 10 \\
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% & 1 & 11 \\
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% & 2 & 9 \\
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% & 2 & 10 \\
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% & 3 & 8 \\
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% & 3 & 9 \\
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% & 4 & 7 \\
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% & 4 & 8 \\
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% & 5 & 5 \\
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% & 5 & 6 \\
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% & 6 & 4 \\
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% & 6 & 5 \\
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% & 7 & 3 \\
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% & 7 & 4 \\
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% & 8 & 2 \\
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% & 8 & 3 \\
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% & 9 & 1 \\
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% & 9 & 2 \\
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% & 10 & 0
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% \end{tabular}
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% \caption{Combinations of \stat{DT} and margin that give a certain chance of success.\label{tab:dtm}}
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% \end{table}
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\begin{table}[ht]
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\begin{table}[ht]
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\centering
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\centering
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% \begin{tabular}[t]{r|cc}
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% Succeeds & \stat{DT} & $m$ \\ \hline
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% \multirow[t]{2}{*}{49 in 50} & 1 & 0 \\
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% & 1 & 1 \\
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% \multirow[t]{2}{*}{9 in 10} & 2 & 0 \\
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% & 1 & 2 \\
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% & 2 & 1 \\
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% & 3 & 0 \\
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% \multirow[t]{2}{*}{4 in 5} & 1 & 3 \\
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% & 3 & 1 \\
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% & 2 & 2 \\
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% & 1 & 4 \\
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% & 4 & 0 \\
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% \multirow[t]{2}{*}{2 in 3} & 2 & 3 \\
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% & 3 & 2 \\
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% & 4 & 1 \\
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% & 5 & 0 \\
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% & 1 & 5 \\
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% & 2 & 4 \\
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% & 3 & 3 \\
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% & 4 & 2 \\
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% \multirow[t]{2}{*}{1 in 2} & 5 & 1 \\
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% & 6 & 0 \\
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% & 1 & 6 \\
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% & 2 & 5 \\
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% & 3 & 4 \\
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% & 4 & 3 \\
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% & 5 & 2 \\
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% & 6 & 1 \\
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% & 7 & 0 \\
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% & 1 & 7
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% \end{tabular}
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% \hfill
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% \begin{tabular}[t]{r|cc}
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% Succeeds & \stat{DT} & $m$ \\ \hline
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% \multirow[t]{2}{*}{1 in 3} & 2 & 6 \\
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% & 3 & 5 \\
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% & 4 & 4 \\
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% & 5 & 3 \\
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% & 6 & 2 \\
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% & 7 & 1 \\
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% & 1 & 8 \\
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% & 8 & 0 \\
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% & 2 & 7 \\
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% & 3 & 6 \\
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% & 4 & 5 \\
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% & 5 & 4 \\
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% \multirow[t]{2}{*}{1 in 5} & 6 & 3 \\
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% & 7 & 2 \\
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% & 8 & 1 \\
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% & 1 & 9 \\
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% & 2 & 8 \\
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% & 3 & 7 \\
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% & 9 & 0 \\
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% & 4 & 6 \\
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% & 5 & 5 \\
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% & 6 & 4 \\
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% & 7 & 3 \\
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% & 8 & 2
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% \end{tabular}
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% \hfill
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% \begin{tabular}[t]{rrr|cc}
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% Succeeds & \stat{DT} & $m$ \\ \hline
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% \multirow[t]{2}{*}{1 in 20} & 1 & 10 \\
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% & 2 & 9 \\
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% & 9 & 1 \\
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% & 3 & 8 \\
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% & 4 & 7 \\
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% & 5 & 6 \\
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% & 10 & 0 \\
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% & 6 & 5 \\
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% & 7 & 4 \\
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% & 8 & 3 \\
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% & 9 & 2 \\
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% & 2 & 10 \\
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% & 1 & 11 \\
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% & 3 & 9 \\
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% & 4 & 8 \\
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% & 5 & 7 \\
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% & 10 & 1 \\
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% & 6 & 6
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% \end{tabular}
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% \hfill
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% \begin{tabular}[t]{rrr|cc}
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% Succeeds & \stat{DT} & $m$ \\ \hline
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% \multirow[t]{2}{*}{1 in 100} & 7 & 5 \\
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% & 11 & 0 \\
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% & 8 & 4 \\
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% & 9 & 3 \\
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% & 3 & 10 \\
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% & 2 & 11 \\
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% & 4 & 9 \\
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% & 1 & 12 \\
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% & 5 & 8 \\
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% & 10 & 2 \\
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% & 6 & 7 \\
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% & 7 & 6 \\
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% & 11 & 1 \\
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% & 8 & 5 \\
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% & 9 & 4 \\
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% & 3 & 11 \\
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% & 4 & 10 \\
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% & 2 & 12 \\
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% & 10 & 3 \\
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% & 5 & 9 \\
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% & 1 & 13 \\
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% & 6 & 8
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% \end{tabular}
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\begin{tabular}[t]{r|cc}
|
|
|
|
\begin{tabular}[t]{r|cc}
|
|
|
|
Succeeds & \stat{DT} & $m$ \\ \hline
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|
|
|
Succeeds & \stat{DT} & $m$ \\ \hline
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19 in 20 & 1 & 0--1 \\
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19 in 20 & 1 & 0--1 \\
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% & & 1 \\
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& 2 & 0 \\
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& 2 & 0 \\
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9 in 10 & 1 & 2--3 \\
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9 in 10 & 1 & 2--3 \\
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% & & 3 \\
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& 2 & 1--2 \\
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& 2 & 1--2 \\
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% & & 2 \\
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& 3 & 0--1 \\
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& 3 & 0--1 \\
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% & & 1 \\
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4 in 5 & 1 & 4--5 \\
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|
4 in 5 & 1 & 4--5 \\
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% & & 5 \\
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& 2 & 3--4 \\
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& 2 & 3--4 \\
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% & & 4 \\
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& 3 & 2 \\
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& 3 & 2 \\
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& 4 & 0--1 \\
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& 4 & 0--1 \\
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% & & 1 \\
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& 5 & 0 \\
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& 5 & 0 \\
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1 in 2 & 1 & 6--7 \\
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1 in 2 & 1 & 6--7 \\
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% & & 7 \\
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& 2 & 5 \\
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& 2 & 5 \\
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& 3 & 3--4 \\
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& 3 & 3--4 \\
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% & & 4 \\
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& 4 & 2--3 \\
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& 4 & 2--3 \\
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% & & 3 \\
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& 5 & 1--2 \\
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& 5 & 1--2 \\
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% & & 2 \\
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& 6 & 0--1 \\
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& 6 & 0--1 \\
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% & & 1 \\
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& 7 & 0
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& 7 & 0
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\end{tabular}
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\end{tabular}
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\hfill
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\hfill
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|
@ -407,60 +186,36 @@
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|
Succeeds & \stat{DT} & $m$ \\ \hline
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|
Succeeds & \stat{DT} & $m$ \\ \hline
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|
1 in 3 & 1 & 8 \\
|
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|
1 in 3 & 1 & 8 \\
|
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|
& 2 & 6--7 \\
|
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|
& 2 & 6--7 \\
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|
% & & 7 \\
|
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|
|
|
|
|
|
& 3 & 5--6 \\
|
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|
& 3 & 5--6 \\
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|
% & & 6 \\
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|
|
|
& 4 & 4--5 \\
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|
& 4 & 4--5 \\
|
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|
% & & 5 \\
|
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|
|
|
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|
|
& 5 & 3--4 \\
|
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|
& 5 & 3--4 \\
|
|
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|
% & & 4 \\
|
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|
|
|
|
|
|
& 6 & 2--3 \\
|
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|
& 6 & 2--3 \\
|
|
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|
% & & 3 \\
|
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|
|
|
|
|
& 7 & 1--2 \\
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& 7 & 1--2 \\
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% & & 2 \\
|
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|
|
|
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|
& 8 & 0 \\
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& 8 & 0 \\
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|
1 in 10 & 1 & 9--10 \\
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1 in 10 & 1 & 9--10 \\
|
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|
% & 1 & 10 \\
|
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|
& 2 & 8--9 \\
|
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& 2 & 8--9 \\
|
|
|
|
% & & 9 \\
|
|
|
|
|
|
|
|
& 3 & 7--8 \\
|
|
|
|
& 3 & 7--8 \\
|
|
|
|
% & & 8 \\
|
|
|
|
|
|
|
|
& 4 & 6--7 \\
|
|
|
|
& 4 & 6--7 \\
|
|
|
|
% & & 7 \\
|
|
|
|
|
|
|
|
& 5 & 5--6 \\
|
|
|
|
& 5 & 5--6 \\
|
|
|
|
% & & 6 \\
|
|
|
|
|
|
|
|
& 6 & 4--5 \\
|
|
|
|
& 6 & 4--5 \\
|
|
|
|
% & & 5 \\
|
|
|
|
|
|
|
|
& 7 & 3 \\
|
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|
|
& 7 & 3 \\
|
|
|
|
& 8 & 1--2 \\
|
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|
|
& 8 & 1--2 \\
|
|
|
|
% & & 2 \\
|
|
|
|
|
|
|
|
& 9 & 0--1 \\
|
|
|
|
& 9 & 0--1 \\
|
|
|
|
% & & 1 \\
|
|
|
|
|
|
|
|
& 10 & 0
|
|
|
|
& 10 & 0
|
|
|
|
\end{tabular}
|
|
|
|
\end{tabular}
|
|
|
|
\hfill
|
|
|
|
\hfill
|
|
|
|
\begin{tabular}[t]{r|cc}
|
|
|
|
\begin{tabular}[t]{r|cc}
|
|
|
|
Succeeds & \stat{DT} & $m$ \\ \hline
|
|
|
|
Succeeds & \stat{DT} & $m$ \\ \hline
|
|
|
|
1 in 20 & 1 & 11--12 \\
|
|
|
|
1 in 20 & 1 & 11--12 \\
|
|
|
|
% & & 12 \\
|
|
|
|
|
|
|
|
& 2 & 10--11 \\
|
|
|
|
& 2 & 10--11 \\
|
|
|
|
% & & 11 \\
|
|
|
|
|
|
|
|
& 3 & 9 --10 \\
|
|
|
|
& 3 & 9 --10 \\
|
|
|
|
% & & 10 \\
|
|
|
|
|
|
|
|
& 4 & 8--9 \\
|
|
|
|
& 4 & 8--9 \\
|
|
|
|
% & & 9 \\
|
|
|
|
|
|
|
|
& 5 & 7--8 \\
|
|
|
|
& 5 & 7--8 \\
|
|
|
|
% & & 8 \\
|
|
|
|
|
|
|
|
& 6 & 6--7 \\
|
|
|
|
& 6 & 6--7 \\
|
|
|
|
% & & 7 \\
|
|
|
|
|
|
|
|
& 7 & 4--5 \\
|
|
|
|
& 7 & 4--5 \\
|
|
|
|
% & & 5 \\
|
|
|
|
|
|
|
|
& 8 & 3--4 \\
|
|
|
|
& 8 & 3--4 \\
|
|
|
|
% & & 4 \\
|
|
|
|
|
|
|
|
& 9 & 2--3 \\
|
|
|
|
& 9 & 2--3 \\
|
|
|
|
% & & 3 \\
|
|
|
|
|
|
|
|
& 10 & 1--2 \\
|
|
|
|
& 10 & 1--2 \\
|
|
|
|
% & & 2 \\
|
|
|
|
|
|
|
|
& 11 & 0 \\
|
|
|
|
& 11 & 0 \\
|
|
|
|
1 in 100 & 1 & 13 \\
|
|
|
|
1 in 100 & 1 & 13 \\
|
|
|
|
& 2 & 12 \\
|
|
|
|
& 2 & 12 \\
|
|
|
|
|
HeNine
2 years ago