\[\boxed{\mathbf{250.}}\]
\[x - вероятность\ \]
\[выпадения\ 4\ очков.\]
\[\frac{1^{\backslash 3}}{4} + \frac{1}{12} + \frac{1^{\backslash 2}}{6} + x + \frac{1}{12} + \frac{1^{\backslash 3}}{4} = 1\]
\[x + \frac{3 + 1 + 2 + 1 + 3}{12} = 1\]
\[x + \frac{10}{12} = 1\]
\[x + \frac{5}{6} = 1\]
\[x = 1 - \frac{5}{6}\]
\[x = \frac{1}{6}.\]
\[Ответ:\ \frac{1}{6}.\]