Each of the 5 sides and the 5 diagonals of a regular pentagon are randomly and independently colored red or blue with equal probability. What is the probability that there will be a triangle whose vertices are among the vertices of the pentagon such that all of its sides have the same color?

**Answer Choices**

A. \dfrac{2}{3}

B. \dfrac{105}{128}

C. \dfrac{125}{128}

D. \dfrac{253}{256}

E. 1