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? 
选项为:A:$\frac{2}{3}$  B:$\frac{105}{128}$  C:$\frac{125}{128}$  D:$\frac{253}{256}$  E:$$1$$  请回答其中一个选项.