\[1)\ Первый\ способ:\]
\[P(A + B) = P(A) + P(B) =\]
\[= \frac{10 + 15}{5 + 10 + 15} = \frac{25}{30} = \frac{5}{6}.\]
\[2)\ Второй\ способ:\]
\[P\left( \overline{C} \right) = 1 - P(C) =\]
\[= 1 - \frac{5}{5 + 10 + 15} = 1 - \frac{5}{30} =\]
\[= 1 - \frac{1}{6} = \frac{5}{6}.\]
\[Ответ:\ \ \frac{5}{6}.\]