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This is another instance of the general MathJax/Markdown problem noted [here.][MathJaxNewline] If you replace all double backslashes (`\\`) with quadruple backslashes (`\\\\`), it works:

$\begin{array} {|r|r|}\hline \text{If I already earned a}  & \text{then I must roll another} \\\\ \hline 9 & 1 \\\\ \hline 8 & 2 \\\\ \hline 7 & 3 \\\\ \hline 6 & 4 \\\\ \hline 5 & 5 \\\\ \hline 4 & 6 \\\\ \hline 3 & \text{Impossible: I need $\ge 2$ more rolls to gain a 10.} \\\\ \hline 2 & Merge with cell above. \\\\ \hline 1 & Merge with cell above. \\\\ \hline  \end{array}$

 [MathJaxNewline]: https://math.codidact.com/posts/278763