25) Найти: \(\frac{P(1)}{P(\frac{1}{6})}\), если \(P(b) = (b+\frac{5}{6})\cdot(5b+\frac{1}{6})\)
\(P(1) = (1 + \frac{5}{6})(5 + \frac{1}{6}) = \frac{11}{6} \cdot \frac{31}{6} = \frac{341}{36}\)
\(P(\frac{1}{6}) = (\frac{1}{6} + \frac{5}{6})(\frac{5}{6} + \frac{1}{6}) = 1 \cdot 1 = 1\)
\(\frac{P(1)}{P(\frac{1}{6})} = \frac{\frac{341}{36}}{1} = \frac{341}{36}\)
Ответ: \(\frac{341}{36}\)