If $X$ represents the sides of a 6-sided die, and $Y$ represents the sides of a fair coin, what would be the value of, say, $F_{XY}(3, H)$?

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If $X$ represents the sides of a 6-sided die, and $Y$ represents the sides of a fair coin, what would be the value of, say, $F_{XY}(3, H)$?

Is it $\frac{1}{2}$? Why or why not?

Note: To my understanding, the following is the table for $F_{XY}(x,y)$:

$$ \begin{matrix} - & 1 & 2 & 3 & 4 & 5 & 6 & - \\ T & \frac{1}{12} & \frac{2}{12} & \frac{3}{12} & \frac{4}{12} & \frac{5}{12} & \frac{6}{12} & 1 \\ H & \frac{2}{12} & \frac{4}{12} & \frac{6}{12} & \frac{8}{12} & \frac{10}{12} & 1 & 1 \\ - & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ \end{matrix} $$